aleV0V0F
aleV1V3IaleV2V3IaleV1V2F
aleV5V4OaleV4V5F
a<=V9V10Aa<=V9V9Aa<=V8V9Aa<=V8V8Ia<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
loop invariant init
a=a-a+a-V8V8V9V9a-V8V8Ia<=V9V10Aa<=V9V9Aa<=V8V9Aa<=V8V8Ia<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
asorted_subV7V8V8Ia=a-a+a-V8V8V9V9a-V8V8Ia<=V9V10Aa<=V9V9Aa<=V8V9Aa<=V8V8Ia<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
aleaV7V12aV6V13Ia<V13V9Aa<=V8V13Ia<V12V8Aa<=V8V12FIasorted_subV7V8V8Ia=a-a+a-V8V8V9V9a-V8V8Ia<=V9V10Aa<=V9V9Aa<=V8V9Aa<=V8V8Ia<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
aleaV7V12aV6V13Ia<V13V10Aa<=V9V13Ia<V12V8Aa<=V8V12FIaleaV7V14aV6V15Ia<V15V9Aa<=V8V15Ia<V14V8Aa<=V8V14FIasorted_subV7V8V8Ia=a-a+a-V8V8V9V9a-V8V8Ia<=V9V10Aa<=V9V9Aa<=V8V9Aa<=V8V8Ia<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a=a+aoccV12aeltsV6V8V8aoccV12aeltsV6V9V9aoccV12aeltsV7V8V8FIaleaV7V13aV6V14Ia<V14V10Aa<=V9V14Ia<V13V8Aa<=V8V13FIaleaV7V15aV6V16Ia<V16V9Aa<=V8V16Ia<V15V8Aa<=V8V15FIasorted_subV7V8V8Ia=a-a+a-V8V8V9V9a-V8V8Ia<=V9V10Aa<=V9V9Aa<=V8V9Aa<=V8V8Ia<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
tIa<V12alengthV7Aa<=V10V12Oa<V12V8Aa<=c0V12FIa=a+aoccV13aeltsV6V8V8aoccV13aeltsV6V9V9aoccV13aeltsV7V8V8FIaleaV7V14aV6V15Ia<V15V10Aa<=V9V15Ia<V14V8Aa<=V8V14FIaleaV7V16aV6V17Ia<V17V9Aa<=V8V17Ia<V16V8Aa<=V8V16FIasorted_subV7V8V8Ia=a-a+a-V8V8V9V9a-V8V8Ia<=V9V10Aa<=V9V9Aa<=V8V9Aa<=V8V8Ia<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a<V12alengthV6Aa<=c0V12INa=V12V10Ia<V13V9Ia=aV14V16aV7V16Ia<V16alengthV14Aa<=V10V16Oa<V16V8Aa<=c0V16FAa=a+aoccV17aeltsV6V8V13aoccV17aeltsV6V9V12aoccV17aeltsV14V8V15FAaleaV14V18aV6V19Ia<V19V10Aa<=V12V19Ia<V18V15Aa<=V8V18FAaleaV14V20aV6V21Ia<V21V9Aa<=V13V21Ia<V20V15Aa<=V8V20FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
index in array bounds
a<V13alengthV6Aa<=c0V13INa=V12V10Ia<V13V9Ia=aV14V16aV7V16Ia<V16alengthV14Aa<=V10V16Oa<V16V8Aa<=c0V16FAa=a+aoccV17aeltsV6V8V13aoccV17aeltsV6V9V12aoccV17aeltsV14V8V15FAaleaV14V18aV6V19Ia<V19V10Aa<=V12V19Ia<V18V15Aa<=V8V18FAaleaV14V20aV6V21Ia<V21V9Aa<=V13V21Ia<V20V15Aa<=V8V20FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a<V13alengthV6Aa<=c0V13Ia=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V17aV7V17Ia<V17alengthV14Aa<=V10V17Oa<V17V8Aa<=c0V17FAa=a+aoccV18aeltsV6V8V13aoccV18aeltsV6V9V12aoccV18aeltsV14V8V15FAaleaV14V19aV6V20Ia<V20V10Aa<=V12V20Ia<V19V15Aa<=V8V19FAaleaV14V21aV6V22Ia<V22V9Aa<=V13V22Ia<V21V15Aa<=V8V21FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a<V15alengthV14Aa<=c0V15LaV6V13Ia=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V18aV7V18Ia<V18alengthV14Aa<=V10V18Oa<V18V8Aa<=c0V18FAa=a+aoccV19aeltsV6V8V13aoccV19aeltsV6V9V12aoccV19aeltsV14V8V15FAaleaV14V20aV6V21Ia<V21V10Aa<=V12V21Ia<V20V15Aa<=V8V20FAaleaV14V22aV6V23Ia<V23V9Aa<=V13V23Ia<V22V15Aa<=V8V22FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a<=V12V10Aa<=V9V12Aa<=V19V9Aa<=V8V19Ia=V19a+V13c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V13Ia=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V20aV7V20Ia<V20alengthV14Aa<=V10V20Oa<V20V8Aa<=c0V20FAa=a+aoccV21aeltsV6V8V13aoccV21aeltsV6V9V12aoccV21aeltsV14V8V15FAaleaV14V22aV6V23Ia<V23V10Aa<=V12V23Ia<V22V15Aa<=V8V22FAaleaV14V24aV6V25Ia<V25V9Aa<=V13V25Ia<V24V15Aa<=V8V24FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
loop invariant preservation
a=a-a+a-V19V8V12V9a-a+V15c1V8Ia<=V12V10Aa<=V9V12Aa<=V19V9Aa<=V8V19Ia=V19a+V13c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V13Ia=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V20aV7V20Ia<V20alengthV14Aa<=V10V20Oa<V20V8Aa<=c0V20FAa=a+aoccV21aeltsV6V8V13aoccV21aeltsV6V9V12aoccV21aeltsV14V8V15FAaleaV14V22aV6V23Ia<V23V10Aa<=V12V23Ia<V22V15Aa<=V8V22FAaleaV14V24aV6V25Ia<V25V9Aa<=V13V25Ia<V24V15Aa<=V8V24FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
asorted_subV18V8a+V15c1Ia=a-a+a-V19V8V12V9a-a+V15c1V8Ia<=V12V10Aa<=V9V12Aa<=V19V9Aa<=V8V19Ia=V19a+V13c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V13Ia=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V20aV7V20Ia<V20alengthV14Aa<=V10V20Oa<V20V8Aa<=c0V20FAa=a+aoccV21aeltsV6V8V13aoccV21aeltsV6V9V12aoccV21aeltsV14V8V15FAaleaV14V22aV6V23Ia<V23V10Aa<=V12V23Ia<V22V15Aa<=V8V22FAaleaV14V24aV6V25Ia<V25V9Aa<=V13V25Ia<V24V15Aa<=V8V24FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
aleaV18V20aV6V21Ia<V21V9Aa<=V19V21Ia<V20a+V15c1Aa<=V8V20FIasorted_subV18V8a+V15c1Ia=a-a+a-V19V8V12V9a-a+V15c1V8Ia<=V12V10Aa<=V9V12Aa<=V19V9Aa<=V8V19Ia=V19a+V13c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V13Ia=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V22aV7V22Ia<V22alengthV14Aa<=V10V22Oa<V22V8Aa<=c0V22FAa=a+aoccV23aeltsV6V8V13aoccV23aeltsV6V9V12aoccV23aeltsV14V8V15FAaleaV14V24aV6V25Ia<V25V10Aa<=V12V25Ia<V24V15Aa<=V8V24FAaleaV14V26aV6V27Ia<V27V9Aa<=V13V27Ia<V26V15Aa<=V8V26FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
aleaV18V20aV6V21Ia<V21V10Aa<=V12V21Ia<V20a+V15c1Aa<=V8V20FIaleaV18V22aV6V23Ia<V23V9Aa<=V19V23Ia<V22a+V15c1Aa<=V8V22FIasorted_subV18V8a+V15c1Ia=a-a+a-V19V8V12V9a-a+V15c1V8Ia<=V12V10Aa<=V9V12Aa<=V19V9Aa<=V8V19Ia=V19a+V13c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V13Ia=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V24aV7V24Ia<V24alengthV14Aa<=V10V24Oa<V24V8Aa<=c0V24FAa=a+aoccV25aeltsV6V8V13aoccV25aeltsV6V9V12aoccV25aeltsV14V8V15FAaleaV14V26aV6V27Ia<V27V10Aa<=V12V27Ia<V26V15Aa<=V8V26FAaleaV14V28aV6V29Ia<V29V9Aa<=V13V29Ia<V28V15Aa<=V8V28FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a=a+aoccV20aeltsV6V8V19aoccV20aeltsV6V9V12aoccV20aeltsV18V8a+V15c1FIaleaV18V21aV6V22Ia<V22V10Aa<=V12V22Ia<V21a+V15c1Aa<=V8V21FIaleaV18V23aV6V24Ia<V24V9Aa<=V19V24Ia<V23a+V15c1Aa<=V8V23FIasorted_subV18V8a+V15c1Ia=a-a+a-V19V8V12V9a-a+V15c1V8Ia<=V12V10Aa<=V9V12Aa<=V19V9Aa<=V8V19Ia=V19a+V13c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V13Ia=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V25aV7V25Ia<V25alengthV14Aa<=V10V25Oa<V25V8Aa<=c0V25FAa=a+aoccV26aeltsV6V8V13aoccV26aeltsV6V9V12aoccV26aeltsV14V8V15FAaleaV14V27aV6V28Ia<V28V10Aa<=V12V28Ia<V27V15Aa<=V8V27FAaleaV14V29aV6V30Ia<V30V9Aa<=V13V30Ia<V29V15Aa<=V8V29FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a=aV18V20aV7V20Ia<V20alengthV18Aa<=V10V20Oa<V20V8Aa<=c0V20FIa=a+aoccV21aeltsV6V8V19aoccV21aeltsV6V9V12aoccV21aeltsV18V8a+V15c1FIaleaV18V22aV6V23Ia<V23V10Aa<=V12V23Ia<V22a+V15c1Aa<=V8V22FIaleaV18V24aV6V25Ia<V25V9Aa<=V19V25Ia<V24a+V15c1Aa<=V8V24FIasorted_subV18V8a+V15c1Ia=a-a+a-V19V8V12V9a-a+V15c1V8Ia<=V12V10Aa<=V9V12Aa<=V19V9Aa<=V8V19Ia=V19a+V13c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V13Ia=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V26aV7V26Ia<V26alengthV14Aa<=V10V26Oa<V26V8Aa<=c0V26FAa=a+aoccV27aeltsV6V8V13aoccV27aeltsV6V9V12aoccV27aeltsV14V8V15FAaleaV14V28aV6V29Ia<V29V10Aa<=V12V29Ia<V28V15Aa<=V8V28FAaleaV14V30aV6V31Ia<V31V9Aa<=V13V31Ia<V30V15Aa<=V8V30FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a<V12alengthV6Aa<=c0V12INa=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V17aV7V17Ia<V17alengthV14Aa<=V10V17Oa<V17V8Aa<=c0V17FAa=a+aoccV18aeltsV6V8V13aoccV18aeltsV6V9V12aoccV18aeltsV14V8V15FAaleaV14V19aV6V20Ia<V20V10Aa<=V12V20Ia<V19V15Aa<=V8V19FAaleaV14V21aV6V22Ia<V22V9Aa<=V13V22Ia<V21V15Aa<=V8V21FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a<V15alengthV14Aa<=c0V15LaV6V12INa=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V18aV7V18Ia<V18alengthV14Aa<=V10V18Oa<V18V8Aa<=c0V18FAa=a+aoccV19aeltsV6V8V13aoccV19aeltsV6V9V12aoccV19aeltsV14V8V15FAaleaV14V20aV6V21Ia<V21V10Aa<=V12V21Ia<V20V15Aa<=V8V20FAaleaV14V22aV6V23Ia<V23V9Aa<=V13V23Ia<V22V15Aa<=V8V22FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a<=V19V10Aa<=V9V19Aa<=V13V9Aa<=V8V13Ia=V19a+V12c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V12INa=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V20aV7V20Ia<V20alengthV14Aa<=V10V20Oa<V20V8Aa<=c0V20FAa=a+aoccV21aeltsV6V8V13aoccV21aeltsV6V9V12aoccV21aeltsV14V8V15FAaleaV14V22aV6V23Ia<V23V10Aa<=V12V23Ia<V22V15Aa<=V8V22FAaleaV14V24aV6V25Ia<V25V9Aa<=V13V25Ia<V24V15Aa<=V8V24FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a=a-a+a-V13V8V19V9a-a+V15c1V8Ia<=V19V10Aa<=V9V19Aa<=V13V9Aa<=V8V13Ia=V19a+V12c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V12INa=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V20aV7V20Ia<V20alengthV14Aa<=V10V20Oa<V20V8Aa<=c0V20FAa=a+aoccV21aeltsV6V8V13aoccV21aeltsV6V9V12aoccV21aeltsV14V8V15FAaleaV14V22aV6V23Ia<V23V10Aa<=V12V23Ia<V22V15Aa<=V8V22FAaleaV14V24aV6V25Ia<V25V9Aa<=V13V25Ia<V24V15Aa<=V8V24FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
asorted_subV18V8a+V15c1Ia=a-a+a-V13V8V19V9a-a+V15c1V8Ia<=V19V10Aa<=V9V19Aa<=V13V9Aa<=V8V13Ia=V19a+V12c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V12INa=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V20aV7V20Ia<V20alengthV14Aa<=V10V20Oa<V20V8Aa<=c0V20FAa=a+aoccV21aeltsV6V8V13aoccV21aeltsV6V9V12aoccV21aeltsV14V8V15FAaleaV14V22aV6V23Ia<V23V10Aa<=V12V23Ia<V22V15Aa<=V8V22FAaleaV14V24aV6V25Ia<V25V9Aa<=V13V25Ia<V24V15Aa<=V8V24FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
aleaV18V20aV6V21Ia<V21V9Aa<=V13V21Ia<V20a+V15c1Aa<=V8V20FIasorted_subV18V8a+V15c1Ia=a-a+a-V13V8V19V9a-a+V15c1V8Ia<=V19V10Aa<=V9V19Aa<=V13V9Aa<=V8V13Ia=V19a+V12c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V12INa=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V22aV7V22Ia<V22alengthV14Aa<=V10V22Oa<V22V8Aa<=c0V22FAa=a+aoccV23aeltsV6V8V13aoccV23aeltsV6V9V12aoccV23aeltsV14V8V15FAaleaV14V24aV6V25Ia<V25V10Aa<=V12V25Ia<V24V15Aa<=V8V24FAaleaV14V26aV6V27Ia<V27V9Aa<=V13V27Ia<V26V15Aa<=V8V26FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
aleaV18V20aV6V21Ia<V21V10Aa<=V19V21Ia<V20a+V15c1Aa<=V8V20FIaleaV18V22aV6V23Ia<V23V9Aa<=V13V23Ia<V22a+V15c1Aa<=V8V22FIasorted_subV18V8a+V15c1Ia=a-a+a-V13V8V19V9a-a+V15c1V8Ia<=V19V10Aa<=V9V19Aa<=V13V9Aa<=V8V13Ia=V19a+V12c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V12INa=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V24aV7V24Ia<V24alengthV14Aa<=V10V24Oa<V24V8Aa<=c0V24FAa=a+aoccV25aeltsV6V8V13aoccV25aeltsV6V9V12aoccV25aeltsV14V8V15FAaleaV14V26aV6V27Ia<V27V10Aa<=V12V27Ia<V26V15Aa<=V8V26FAaleaV14V28aV6V29Ia<V29V9Aa<=V13V29Ia<V28V15Aa<=V8V28FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a=a+aoccV20aeltsV6V8V13aoccV20aeltsV6V9V19aoccV20aeltsV18V8a+V15c1FIaleaV18V21aV6V22Ia<V22V10Aa<=V19V22Ia<V21a+V15c1Aa<=V8V21FIaleaV18V23aV6V24Ia<V24V9Aa<=V13V24Ia<V23a+V15c1Aa<=V8V23FIasorted_subV18V8a+V15c1Ia=a-a+a-V13V8V19V9a-a+V15c1V8Ia<=V19V10Aa<=V9V19Aa<=V13V9Aa<=V8V13Ia=V19a+V12c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V12INa=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V25aV7V25Ia<V25alengthV14Aa<=V10V25Oa<V25V8Aa<=c0V25FAa=a+aoccV26aeltsV6V8V13aoccV26aeltsV6V9V12aoccV26aeltsV14V8V15FAaleaV14V27aV6V28Ia<V28V10Aa<=V12V28Ia<V27V15Aa<=V8V27FAaleaV14V29aV6V30Ia<V30V9Aa<=V13V30Ia<V29V15Aa<=V8V29FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a=aV18V20aV7V20Ia<V20alengthV18Aa<=V10V20Oa<V20V8Aa<=c0V20FIa=a+aoccV21aeltsV6V8V13aoccV21aeltsV6V9V19aoccV21aeltsV18V8a+V15c1FIaleaV18V22aV6V23Ia<V23V10Aa<=V19V23Ia<V22a+V15c1Aa<=V8V22FIaleaV18V24aV6V25Ia<V25V9Aa<=V13V25Ia<V24a+V15c1Aa<=V8V24FIasorted_subV18V8a+V15c1Ia=a-a+a-V13V8V19V9a-a+V15c1V8Ia<=V19V10Aa<=V9V19Aa<=V13V9Aa<=V8V13Ia=V19a+V12c1FIa=V18aV14V15V17Aa=aeltsV18asetaeltsV14V15V17Ia=alengthV18alengthV14FLaV6V12INa=V16aTrueIia=V16aFalsea=V16iiaFalseaTruealeaV6V13aV6V12aTruea=V12V10a<V13V9FIa=aV14V26aV7V26Ia<V26alengthV14Aa<=V10V26Oa<V26V8Aa<=c0V26FAa=a+aoccV27aeltsV6V8V13aoccV27aeltsV6V9V12aoccV27aeltsV14V8V15FAaleaV14V28aV6V29Ia<V29V10Aa<=V12V29Ia<V28V15Aa<=V8V28FAaleaV14V30aV6V31Ia<V31V9Aa<=V13V31Ia<V30V15Aa<=V8V30FAasorted_subV14V8V15Aa=a-a+a-V13V8V12V9a-V15V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Aa<=V15V11Aa<=V8V15FIa=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
asorted_subV14V8V10Ia=aV14V15aV7V15Ia<V15alengthV14Aa<=V10V15Oa<V15V8Aa<=c0V15FAa=a+aoccV16aeltsV6V8V13aoccV16aeltsV6V9V12aoccV16aeltsV14V8a+V11c1FAaleaV14V17aV6V18Ia<V18V10Aa<=V12V18Ia<V17a+V11c1Aa<=V8V17FAaleaV14V19aV6V20Ia<V20V9Aa<=V13V20Ia<V19a+V11c1Aa<=V8V19FAasorted_subV14V8a+V11c1Aa=a-a+a-V13V8V12V9a-a+V11c1V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Ia=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
postcondition
a=alengthV6alengthV14IaleaV14V15aV14V16Ia<V16V10Aa<V15V16Aa<=V8V15FIa=a@aeltsV14V17a@aeltsV7V17Ia<V17alengthV14Aa=V10V17Oa<V10V17Oa<V17V8Aa=c0V17Oa<c0V17FAa=a+aoccV18aeltsV6V8V13aoccV18aeltsV6V9V12aoccV18aeltsV14V8a+V11c1FAaleaV14V19aV6V20Ia<V20V10Aa=V12V20Oa<V12V20Ia<V19a+V11c1Aa=V8V19Oa<V8V19FAaleaV14V21aV6V22Ia<V22V9Aa=V13V22Oa<V13V22Ia<V21a+V11c1Aa=V8V21Oa<V8V21FAaleaV14V23aV14V24Ia<V24a+V11c1Aa<V23V24Aa<=V8V23FAa=a+a+a-V13V8V12a-V9a+a+V11c1a-V8Aa=V12V10Oa<V12V10Aa=V9V12Oa<V9V12Aa=V13V9Oa<V13V9Aa=V8V13Oa<V8V13Ia=alengthV14alengthV7FIa=V8a+V11c1Oa<V8a+V11c1La-V10c1IaleaV6V25aV6V26Ia<V26V10Aa<V25V26Aa<=V9V25FAaleaV6V27aV6V28Ia<V28V9Aa<V27V28Aa<=V8V27FAa=alengthV6alengthV7Aa=V10alengthV6Oa<V10alengthV6Aa=V9V10Oa<V9V10Aa=V8V9Oa<V8V9Aa=c0V8Oa<c0V8F
VC for merge
a<=c0V8IaleaV14V15aV14V16Ia<V16V10Aa<V15V16Aa<=V8V15FIa=a@aeltsV14V17a@aeltsV7V17Ia<V17alengthV14Aa=V10V17Oa<V10V17Oa<V17V8Aa=c0V17Oa<c0V17FAa=a+aoccV18aeltsV6V8V13aoccV18aeltsV6V9V12aoccV18aeltsV14V8a+V11c1FAaleaV14V19aV6V20Ia<V20V10Aa=V12V20Oa<V12V20Ia<V19a+V11c1Aa=V8V19Oa<V8V19FAaleaV14V21aV6V22Ia<V22V9Aa=V13V22Oa<V13V22Ia<V21a+V11c1Aa=V8V21Oa<V8V21FAaleaV14V23aV14V24Ia<V24a+V11c1Aa<V23V24Aa<=V8V23FAa=a+a+a-V13V8V12a-V9a+a+V11c1a-V8Aa=V12V10Oa<V12V10Aa=V9V12Oa<V9V12Aa=V13V9Oa<V13V9Aa=V8V13Oa<V8V13Ia=alengthV14alengthV7FIa=V8a+V11c1Oa<V8a+V11c1La-V10c1IaleaV6V25aV6V26Ia<V26V10Aa<V25V26Aa<=V9V25FAaleaV6V27aV6V28Ia<V28V9Aa<V27V28Aa<=V8V27FAa=alengthV6alengthV7Aa=V10alengthV6Oa<V10alengthV6Aa=V9V10Oa<V9V10Aa=V8V9Oa<V8V9Aa=c0V8Oa<c0V8F
a<=V8alengthV6IaleaV14V15aV14V16Ia<V16V10Aa<V15V16Aa<=V8V15FIa=a@aeltsV14V17a@aeltsV7V17Ia<V17alengthV14Aa=V10V17Oa<V10V17Oa<V17V8Aa=c0V17Oa<c0V17FAa=a+aoccV18aeltsV6V8V13aoccV18aeltsV6V9V12aoccV18aeltsV14V8a+V11c1FAaleaV14V19aV6V20Ia<V20V10Aa=V12V20Oa<V12V20Ia<V19a+V11c1Aa=V8V19Oa<V8V19FAaleaV14V21aV6V22Ia<V22V9Aa=V13V22Oa<V13V22Ia<V21a+V11c1Aa=V8V21Oa<V8V21FAaleaV14V23aV14V24Ia<V24a+V11c1Aa<V23V24Aa<=V8V23FAa=a+a+a-V13V8V12a-V9a+a+V11c1a-V8Aa=V12V10Oa<V12V10Aa=V9V12Oa<V9V12Aa=V13V9Oa<V13V9Aa=V8V13Oa<V8V13Ia=alengthV14alengthV7FIa=V8a+V11c1Oa<V8a+V11c1La-V10c1IaleaV6V25aV6V26Ia<V26V10Aa<V25V26Aa<=V9V25FAaleaV6V27aV6V28Ia<V28V9Aa<V27V28Aa<=V8V27FAa=alengthV6alengthV7Aa=V10alengthV6Oa<V10alengthV6Aa=V9V10Oa<V9V10Aa=V8V9Oa<V8V9Aa=c0V8Oa<c0V8F
a<=c0V10IaleaV14V15aV14V16Ia<V16V10Aa<V15V16Aa<=V8V15FIa=a@aeltsV14V17a@aeltsV7V17Ia<V17alengthV14Aa=V10V17Oa<V10V17Oa<V17V8Aa=c0V17Oa<c0V17FAa=a+aoccV18aeltsV6V8V13aoccV18aeltsV6V9V12aoccV18aeltsV14V8a+V11c1FAaleaV14V19aV6V20Ia<V20V10Aa=V12V20Oa<V12V20Ia<V19a+V11c1Aa=V8V19Oa<V8V19FAaleaV14V21aV6V22Ia<V22V9Aa=V13V22Oa<V13V22Ia<V21a+V11c1Aa=V8V21Oa<V8V21FAaleaV14V23aV14V24Ia<V24a+V11c1Aa<V23V24Aa<=V8V23FAa=a+a+a-V13V8V12a-V9a+a+V11c1a-V8Aa=V12V10Oa<V12V10Aa=V9V12Oa<V9V12Aa=V13V9Oa<V13V9Aa=V8V13Oa<V8V13Ia=alengthV14alengthV7FIa=V8a+V11c1Oa<V8a+V11c1La-V10c1IaleaV6V25aV6V26Ia<V26V10Aa<V25V26Aa<=V9V25FAaleaV6V27aV6V28Ia<V28V9Aa<V27V28Aa<=V8V27FAa=alengthV6alengthV7Aa=V10alengthV6Oa<V10alengthV6Aa=V9V10Oa<V9V10Aa=V8V9Oa<V8V9Aa=c0V8Oa<c0V8F
a<=V10alengthV6IaleaV14V15aV14V16Ia<V16V10Aa<V15V16Aa<=V8V15FIa=a@aeltsV14V17a@aeltsV7V17Ia<V17alengthV14Aa=V10V17Oa<V10V17Oa<V17V8Aa=c0V17Oa<c0V17FAa=a+aoccV18aeltsV6V8V13aoccV18aeltsV6V9V12aoccV18aeltsV14V8a+V11c1FAaleaV14V19aV6V20Ia<V20V10Aa=V12V20Oa<V12V20Ia<V19a+V11c1Aa=V8V19Oa<V8V19FAaleaV14V21aV6V22Ia<V22V9Aa=V13V22Oa<V13V22Ia<V21a+V11c1Aa=V8V21Oa<V8V21FAaleaV14V23aV14V24Ia<V24a+V11c1Aa<V23V24Aa<=V8V23FAa=a+a+a-V13V8V12a-V9a+a+V11c1a-V8Aa=V12V10Oa<V12V10Aa=V9V12Oa<V9V12Aa=V13V9Oa<V13V9Aa=V8V13Oa<V8V13Ia=alengthV14alengthV7FIa=V8a+V11c1Oa<V8a+V11c1La-V10c1IaleaV6V25aV6V26Ia<V26V10Aa<V25V26Aa<=V9V25FAaleaV6V27aV6V28Ia<V28V9Aa<V27V28Aa<=V8V27FAa=alengthV6alengthV7Aa=V10alengthV6Oa<V10alengthV6Aa=V9V10Oa<V9V10Aa=V8V9Oa<V8V9Aa=c0V8Oa<c0V8F
apermutaeltsV6aeltsV14V8V10IaleaV14V15aV14V16Ia<V16V10Aa<V15V16Aa<=V8V15FIa=a@aeltsV14V17a@aeltsV7V17Ia<V17alengthV14Aa=V10V17Oa<V10V17Oa<V17V8Aa=c0V17Oa<c0V17FAa=a+aoccV18aeltsV6V8V13aoccV18aeltsV6V9V12aoccV18aeltsV14V8a+V11c1FAaleaV14V19aV6V20Ia<V20V10Aa=V12V20Oa<V12V20Ia<V19a+V11c1Aa=V8V19Oa<V8V19FAaleaV14V21aV6V22Ia<V22V9Aa=V13V22Oa<V13V22Ia<V21a+V11c1Aa=V8V21Oa<V8V21FAaleaV14V23aV14V24Ia<V24a+V11c1Aa<V23V24Aa<=V8V23FAa=a+a+a-V13V8V12a-V9a+a+V11c1a-V8Aa=V12V10Oa<V12V10Aa=V9V12Oa<V9V12Aa=V13V9Oa<V13V9Aa=V8V13Oa<V8V13Ia=alengthV14alengthV7FIa=V8a+V11c1Oa<V8a+V11c1La-V10c1IaleaV6V25aV6V26Ia<V26V10Aa<V25V26Aa<=V9V25FAaleaV6V27aV6V28Ia<V28V9Aa<V27V28Aa<=V8V27FAa=alengthV6alengthV7Aa=V10alengthV6Oa<V10alengthV6Aa=V9V10Oa<V9V10Aa=V8V9Oa<V8V9Aa=c0V8Oa<c0V8F
apermutaeltsV6aeltsV14V8V10Aa<=V10alengthV6Aa<=c0V10Aa<=V8alengthV6Aa<=c0V8Aa=alengthV6alengthV14IaleaV14V15aV14V16Ia<V16V10Aa<V15V16Aa<=V8V15FIa=a@aeltsV14V17a@aeltsV7V17Ia<V17alengthV14Aa=V10V17Oa<V10V17Oa<V17V8Aa=c0V17Oa<c0V17FAa=a+aoccV18aeltsV6V8V13aoccV18aeltsV6V9V12aoccV18aeltsV14V8a+V11c1FAaleaV14V19aV6V20Ia<V20V10Aa=V12V20Oa<V12V20Ia<V19a+V11c1Aa=V8V19Oa<V8V19FAaleaV14V21aV6V22Ia<V22V9Aa=V13V22Oa<V13V22Ia<V21a+V11c1Aa=V8V21Oa<V8V21FAaleaV14V23aV14V24Ia<V24a+V11c1Aa<V23V24Aa<=V8V23FAa=a+a+a-V13V8V12a-V9a+a+V11c1a-V8Aa=V12V10Oa<V12V10Aa=V9V12Oa<V9V12Aa=V13V9Oa<V13V9Aa=V8V13Oa<V8V13Ia=alengthV14alengthV7FIa=V8a+V11c1Oa<V8a+V11c1La-V10c1IaleaV6V25aV6V26Ia<V26V10Aa<V25V26Aa<=V9V25FAaleaV6V27aV6V28Ia<V28V9Aa<V27V28Aa<=V8V27FAa=alengthV6alengthV7Aa=V10alengthV6Oa<V10alengthV6Aa=V9V10Oa<V9V10Aa=V8V9Oa<V8V9Aa=c0V8Oa<c0V8F
apermutV6V14V8V10Iasorted_subV14V8V10Ia=aV14V15aV7V15Ia<V15alengthV14Aa<=V10V15Oa<V15V8Aa<=c0V15FAa=a+aoccV16aeltsV6V8V13aoccV16aeltsV6V9V12aoccV16aeltsV14V8a+V11c1FAaleaV14V17aV6V18Ia<V18V10Aa<=V12V18Ia<V17a+V11c1Aa<=V8V17FAaleaV14V19aV6V20Ia<V20V9Aa<=V13V20Ia<V19a+V11c1Aa<=V8V19FAasorted_subV14V8a+V11c1Aa=a-a+a-V13V8V12V9a-a+V11c1V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Ia=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a=aV14V15aV7V15Ia<V15alengthV14Aa<=V10V15Oa<V15V8Aa<=c0V15FIapermutV6V14V8V10Iasorted_subV14V8V10Ia=aV14V16aV7V16Ia<V16alengthV14Aa<=V10V16Oa<V16V8Aa<=c0V16FAa=a+aoccV17aeltsV6V8V13aoccV17aeltsV6V9V12aoccV17aeltsV14V8a+V11c1FAaleaV14V18aV6V19Ia<V19V10Aa<=V12V19Ia<V18a+V11c1Aa<=V8V18FAaleaV14V20aV6V21Ia<V21V9Aa<=V13V21Ia<V20a+V11c1Aa<=V8V20FAasorted_subV14V8a+V11c1Aa=a-a+a-V13V8V12V9a-a+V11c1V8Aa<=V12V10Aa<=V9V12Aa<=V13V9Aa<=V8V13Ia=alengthV14alengthV7FIa<=V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
tIa<V12alengthV7Aa<=V10V12Oa<V12V8Aa<=c0V12FAapermutV6V7V8V10Aasorted_subV7V8V10Ia>V8a+V11c1La-V10c1Iasorted_subV6V9V10Aasorted_subV6V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
out of loop bounds
tIa<V12alengthV7Aa<=V10V12Oa<V12V8Aa<=c0V12FAapermutV6V7V8V10Aasorted_subV7V8V10Ia>V8a+V11c1Aa=aV15V16aV7V16Ia<V16alengthV15Aa<=V10V16Oa<V16V8Aa<=c0V16FAapermutV6V15V8V10Aasorted_subV15V8V10Ia=aV15V17aV7V17Ia<V17alengthV15Aa<=V10V17Oa<V17V8Aa<=c0V17FAa=a+aoccV18aeltsV6V8V14aoccV18aeltsV6V9V13aoccV18aeltsV15V8a+V11c1FAaleaV15V19aV6V20Ia<V20V10Aa<=V13V20Ia<V19a+V11c1Aa<=V8V19FAaleaV15V21aV6V22Ia<V22V9Aa<=V14V22Ia<V21a+V11c1Aa<=V8V21FAasorted_subV15V8a+V11c1Aa=a-a+a-V14V8V13V9a-a+V11c1V8Aa<=V13V10Aa<=V9V13Aa<=V14V9Aa<=V8V14Aia=aV26V28aV7V28Ia<V28alengthV26Aa<=V10V28Oa<V28V8Aa<=c0V28FAa=a+aoccV29aeltsV6V8V14aoccV29aeltsV6V9V27aoccV29aeltsV26V8a+V23c1FAaleaV26V30aV6V31Ia<V31V10Aa<=V27V31Ia<V30a+V23c1Aa<=V8V30FAaleaV26V32aV6V33Ia<V33V9Aa<=V14V33Ia<V32a+V23c1Aa<=V8V32FAasorted_subV26V8a+V23c1Aa=a-a+a-V14V8V27V9a-a+V23c1V8Aa<=V27V10Aa<=V9V27Aa<=V14V9Aa<=V8V14Ia=V27a+V13c1FIa=V26aV15V23V25Aa=aeltsV26asetaeltsV15V23V25Ia=alengthV26alengthV15FAa<V23alengthV15Aa<=c0V23LaV6V13Aa<V13alengthV6Aa<=c0V13a=aV35V37aV7V37Ia<V37a
a<V9alengthV7Aa<=c0V9Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a<V11alengthV7Aa<=c0V11La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
aleaV7V9aV7V13AaleaV7V12aV7a-V9c1Ia<V13V10Aa<=V9V13Ia<V12V9Aa<=V8V12FIaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
assertion
asorted_subV7V8V10IaleaV7V9aV7V13AaleaV7V12aV7a-V9c1Ia<V13V10Aa<=V9V13Ia<V12V9Aa<=V8V12FIaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
apermutV7V7V8V10Iasorted_subV7V8V10IaleaV7V9aV7V13AaleaV7V12aV7a-V9c1Ia<V13V10Aa<=V9V13Ia<V12V9Aa<=V8V12FIaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
tIa<V12alengthV7Aa<=V10V12Oa<V12V8Aa<=c0V12FIapermutV7V7V8V10Iasorted_subV7V8V10IaleaV7V9aV7V14AaleaV7V13aV7a-V9c1Ia<V14V10Aa<=V9V14Ia<V13V9Aa<=V8V13FIaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a<=a+V8V12alengthV7Aa<=c0V12Aa<=c0V8La-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
precondition
a<=a+V8V12alengthV6Aa<=c0V8Ia<=a+V8V12alengthV7Aa<=c0V12Aa<=c0V8La-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a=alengthV13alengthV7Aa<=V10alengthV13Aa<=V9V10Aa<=V8V9Aa<=c0V8Ia=aV13V14aV7a-a+V8V14V8Ia<V14a+V8V12Aa<=V8V14FAa=aV13V15aV6V15Ia<V15alengthV13Aa<=a+V8V12V15Oa<V15V8Aa<=c0V15FIa=alengthV13alengthV6FLa-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
asorted_subV13V8V9Ia=alengthV13alengthV7Aa<=V10alengthV13Aa<=V9V10Aa<=V8V9Aa<=c0V8Ia=aV13V14aV7a-a+V8V14V8Ia<V14a+V8V12Aa<=V8V14FAa=aV13V15aV6V15Ia<V15alengthV13Aa<=a+V8V12V15Oa<V15V8Aa<=c0V15FIa=alengthV13alengthV6FLa-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
asorted_subV13V9V10Iasorted_subV13V8V9Ia=alengthV13alengthV7Aa<=V10alengthV13Aa<=V9V10Aa<=V8V9Aa<=c0V8Ia=aV13V14aV7a-a+V8V14V8Ia<V14a+V8V12Aa<=V8V14FAa=aV13V15aV6V15Ia<V15alengthV13Aa<=a+V8V12V15Oa<V15V8Aa<=c0V15FIa=alengthV13alengthV6FLa-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
amap_eq_subaeltsV7aeltsV14V10alengthV7AapermutV7V14V8V10Aamap_eq_subaeltsV7aeltsV14c0V8Ia=a@aeltsV14V15a@aeltsV7V15Ia<V15alengthV14Aa=V10V15Oa<V10V15Oa<V15V8Aa=c0V15Oa<c0V15FAapermut1aeltsV13aeltsV14V8V10Aa<=V10alengthV13Aa<=c0V10Aa<=V8alengthV13Aa<=c0V8Aa=alengthV13alengthV14AaleaV14V16aV14V17Ia<V17V10Aa<V16V17Aa<=V8V16FIa=alengthV14alengthV7FIa=a@aeltsV13V18a@aeltsV7a-a+V8V18V8Ia<V18a+V8V12Aa=V8V18Oa<V8V18FAa=a@aeltsV13V19a@aeltsV6V19Ia<V19alengthV13Aa=a+V8V12V19Oa<a+V8V12V19Oa<V19V8Aa=c0V19Oa<c0V19FIa=alengthV13alengthV6FLa-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9IaleaV7V20aV7V21Ia<V21V10Aa<V20V21Aa<=V9V20FAaleaV7V22aV7V23Ia<V23V9Aa<V22V23Aa<=V8V22FAa=alengthV6alengthV7Aa=V10alengthV6Oa<V10alengthV6Aa=V9V10Oa<V9V10Aa=V8V9Oa<V8V9Aa=c0V8Oa<c0V8F
apermut_subV7V14V8V10Ia=aV14V15aV7V15Ia<V15alengthV14Aa<=V10V15Oa<V15V8Aa<=c0V15FAapermutV13V14V8V10Aasorted_subV14V8V10Ia=alengthV14alengthV7FIa=aV13V16aV7a-a+V8V16V8Ia<V16a+V8V12Aa<=V8V16FAa=aV13V17aV6V17Ia<V17alengthV13Aa<=a+V8V12V17Oa<V17V8Aa<=c0V17FIa=alengthV13alengthV6FLa-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
asorted_subV14V8V10Iapermut_subV7V14V8V10Ia=aV14V15aV7V15Ia<V15alengthV14Aa<=V10V15Oa<V15V8Aa<=c0V15FAapermutV13V14V8V10Aasorted_subV14V8V10Ia=alengthV14alengthV7FIa=aV13V16aV7a-a+V8V16V8Ia<V16a+V8V12Aa<=V8V16FAa=aV13V17aV6V17Ia<V17alengthV13Aa<=a+V8V12V17Oa<V17V8Aa<=c0V17FIa=alengthV13alengthV6FLa-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
apermutV7V14V8V10Iasorted_subV14V8V10Iapermut_subV7V14V8V10Ia=aV14V15aV7V15Ia<V15alengthV14Aa<=V10V15Oa<V15V8Aa<=c0V15FAapermutV13V14V8V10Aasorted_subV14V8V10Ia=alengthV14alengthV7FIa=aV13V16aV7a-a+V8V16V8Ia<V16a+V8V12Aa<=V8V16FAa=aV13V17aV6V17Ia<V17alengthV13Aa<=a+V8V12V17Oa<V17V8Aa<=c0V17FIa=alengthV13alengthV6FLa-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
a=aV14V15aV7V15Ia<V15alengthV14Aa<=V10V15Oa<V15V8Aa<=c0V15FIapermutV7V14V8V10Iasorted_subV14V8V10Iapermut_subV7V14V8V10Ia=aV14V16aV7V16Ia<V16alengthV14Aa<=V10V16Oa<V16V8Aa<=c0V16FAapermutV13V14V8V10Aasorted_subV14V8V10Ia=alengthV14alengthV7FIa=aV13V17aV7a-a+V8V17V8Ia<V17a+V8V12Aa<=V8V17FAa=aV13V18aV6V18Ia<V18alengthV13Aa<=a+V8V12V18Oa<V18V8Aa<=c0V18FIa=alengthV13alengthV6FLa-V10V8INaleaV7V11aV7V9La-V9c1Ia<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
asorted_subV7V8V10INa<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
apermutV7V7V8V10Iasorted_subV7V8V10INa<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
tIa<V11alengthV7Aa<=V10V11Oa<V11V8Aa<=c0V11FIapermutV7V7V8V10Iasorted_subV7V8V10INa<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
itIa<V11alengthV7Aa<=V10V11Oa<V11V8Aa<=c0V11FAapermutV7V7V8V10Aasorted_subV7V8V10ia=aV15V16aV7V16Ia<V16alengthV15Aa<=V10V16Oa<V16V8Aa<=c0V16FAapermutV7V15V8V10Aasorted_subV15V8V10Aapermut_subV7V15V8V10Ia=aV15V17aV7V17Ia<V17alengthV15Aa<=V10V17Oa<V17V8Aa<=c0V17FAapermutV14V15V8V10Aasorted_subV15V8V10Ia=alengthV15alengthV7FAasorted_subV14V9V10Aasorted_subV14V8V9Aa=alengthV14alengthV7Aa<=V10alengthV14Aa<=V9V10Aa<=V8V9Aa<=c0V8Ia=aV14V18aV7a-a+V8V18V8Ia<V18a+V8V13Aa<=V8V18FAa=aV14V19aV6V19Ia<V19alengthV14Aa<=a+V8V13V19Oa<V19V8Aa<=c0V19FIa=alengthV14alengthV6FAa<=a+V8V13alengthV6Aa<=c0V8Aa<=a+V8V13alengthV7Aa<=c0V13Aa<=c0V8La-V10V8tIa<V20alengthV7Aa<=V10V20Oa<V20V8Aa<=c0V20FAapermutV7V7V8V10Aasorted_subV7V8V10AaleaV7V9aV7V22AaleaV7V21aV7a-V9c1Ia<V22V10Aa<=V9V22Ia<V21V9Aa<=V8V21FaleaV7V12aV7V9Aa<V12alengthV7Aa<=c0V12La-V9c1Aa<V9alengthV7Aa<=c0V9a<V9V10Aa<V8V9Iasorted_subV7V9V10Aasorted_subV7V8V9Aa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V9V10Aa<=V8V9Aa<=c0V8F
VC for merge_using
a<=c0al
a<=alar
a<=aralengthaa
a=alengthaaalengthatmp
a>=ala-arc1
asorted_subaaalar
apermut_subaaaaalar
Na>=ala-arc1
Na=c2c0
check division by zero
a<amarAa<=alam
a<a-amala-aralAa<=c0a-aral
variant decrease
a=alengthaaalengthatmpAa<=amalengthaaAa<=alamAa<=c0al
a=alengthatmp1alengthatmp
a=alengthaa1alengthaa
asorted_subaa1alam
apermut_subaaaa1alam
apermut_subaaaa1alar
a<a-arama-aralAa<=c0a-aral
a=alengthaa1alengthatmp1Aa<=aralengthaa1Aa<=amarAa<=c0am
a=alengthatmp2alengthatmp1
a=alengthaa2alengthaa1
asorted_subaa2amar
apermut_subaa1aa2amar
apermut_subaa1aa2alar
a=alengthatmp2alengthaa2Aa<=aralengthatmp2Aa<=amarAa<=alamAa<=c0al
asorted_subaa2alam
a=alengthaa3alengthaa2
asorted_subaa3alar
apermutaa2aa3alar
a=aaa3V6aaa2V6Ia<V6alengthaa3Aa<=arV6Oa<V6alAa<=c0V6F
apermut_subaaaa3alar
iapermut_subV6V15V8V9Aasorted_subV15V8V9Ia=aV15V16aV14V16Ia<V16alengthV15Aa<=V9V16Oa<V16V8Aa<=c0V16FAapermutV14V15V8V9Aasorted_subV15V8V9Ia=alengthV15alengthV14FAasorted_subV14V10V9Aasorted_subV14V8V10Aa=alengthV13alengthV14Aa<=V9alengthV13Aa<=V10V9Aa<=V8V10Aa<=c0V8Aapermut_subV12V14V8V9Iapermut_subV12V14V10V9Aasorted_subV14V10V9Ia=alengthV14alengthV12Ia=alengthV13alengthV11FAa=alengthV12alengthV11Aa<=V9alengthV12Aa<=V10V9Aa<=c0V10Aa<a-V9V10a-V9V8Aa<=c0a-V9V8Aapermut_subV6V12V8V9Iapermut_subV6V12V8V10Aasorted_subV12V8V10Ia=alengthV12alengthV6Ia=alengthV11alengthV7FAa=alengthV6alengthV7Aa<=V10alengthV6Aa<=V8V10Aa<=c0V8Aa<a-V10V8a-V9V8Aa<=c0a-V9V8Aa<V10V9Aa<=V8V10La+V8adiva-V9V8c2ANa=c2c0apermut_subV6V6V8V9Aasorted_subV6V8V9a>=V8a-V9c1Ia=alengthV6alengthV7Aa<=V9alengthV6Aa<=V8V9Aa<=c0V8F
VC for mergesort_rec
apermut_allV6V9AasortedV9Iapermut_subV6V9c0V8Aasorted_subV9c0V8Ia=alengthV9alengthV6FAa=alengthV6alengthV7Aa<=V8alengthV6Aa<=c0V8Aa<=c0c0LalengthV6Ia=aV7V10aV6V10Ia<V10alengthV7Aa<=c0V10FAa=alengthV7alengthV6FF
VC for mergesort
a<=c1c1Ia=aV8V9aV6V9Ia<V9alengthV8Aa<=c0V9FAa=alengthV8alengthV6FLalengthV6F
apermut_allV6V6Ia<=c1c1Ia=aV8V9aV6V9Ia<V9alengthV8Aa<=c0V9FAa=alengthV8alengthV6FLalengthV6F
asorted_subV6V10aminV7a+V10c1Ia<V10V7Aa<=c0V10La*V9c1FIapermut_allV6V6Ia<=c1c1Ia=aV8V11aV6V11Ia<V11alengthV8Aa<=c0V11FAa=alengthV8alengthV6FLalengthV6F
a=c0a*a*c2c0V9Aa<=c0c0Ia<V9V7Iasorted_subV11V13aminV7a+V13V9Ia<V13V7Aa<=c0V13La*V12V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V14aV6V14Ia<V14alengthV8Aa<=c0V14FAa=alengthV8alengthV6FLalengthV6F
apermut_allV11V11Ia=c0a*a*c2c0V9Aa<=c0c0Ia<V9V7Iasorted_subV11V13aminV7a+V13V9Ia<V13V7Aa<=c0V13La*V12V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V14aV6V14Ia<V14alengthV8Aa<=c0V14FAa=alengthV8alengthV6FLalengthV6F
asorted_subV11V13aminV7a+V13V9Ia<V13V7Aa<=c0V13La*V12V9FIapermut_allV11V11Ia=c0a*a*c2c0V9Aa<=c0c0Ia<V9V7Iasorted_subV11V15aminV7a+V15V9Ia<V15V7Aa<=c0V15La*V14V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V16aV6V16Ia<V16alengthV8Aa<=c0V16FAa=alengthV8alengthV6FLalengthV6F
asorted_subV11V13aminV7a+V13a*c2V9Ia<V13c0Aa<=c0V13La*V12a*c2V9FIasorted_subV11V15aminV7a+V15V9Ia<V15V7Aa<=c0V15La*V14V9FIapermut_allV11V11Ia=c0a*a*c2c0V9Aa<=c0c0Ia<V9V7Iasorted_subV11V17aminV7a+V17V9Ia<V17V7Aa<=c0V17La*V16V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V18aV6V18Ia<V18alengthV8Aa<=c0V18FAa=alengthV8alengthV6FLalengthV6F
a=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V18aminV7a+V18a*c2V9Ia<V18V13Aa<=c0V18La*V17a*c2V9FAasorted_subV15V20aminV7a+V20V9Ia<V20V7Aa<=V13V20La*V19V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V22aminV7a+V22V9Ia<V22V7Aa<=c0V22La*V21V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V23aV6V23Ia<V23alengthV8Aa<=c0V23FAa=alengthV8alengthV6FLalengthV6F
asorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V18aminV7a+V18a*c2V9Ia<V18V13Aa<=c0V18La*V17a*c2V9FAasorted_subV15V20aminV7a+V20V9Ia<V20V7Aa<=V13V20La*V19V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V22aminV7a+V22V9Ia<V22V7Aa<=c0V22La*V21V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V23aV6V23Ia<V23alengthV8Aa<=c0V23FAa=alengthV8alengthV6FLalengthV6F
asorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V19aminV7a+V19a*c2V9Ia<V19V13Aa<=c0V19La*V18a*c2V9FAasorted_subV15V21aminV7a+V21V9Ia<V21V7Aa<=V13V21La*V20V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V23aminV7a+V23V9Ia<V23V7Aa<=c0V23La*V22V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V24aV6V24Ia<V24alengthV8Aa<=c0V24FAa=alengthV8alengthV6FLalengthV6F
a=alengthV14alengthV15Aa<=V17alengthV14Aa<=V16V17Aa<=V13V16Aa<=c0V13Iasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V19aminV7a+V19a*c2V9Ia<V19V13Aa<=c0V19La*V18a*c2V9FAasorted_subV15V21aminV7a+V21V9Ia<V21V7Aa<=V13V21La*V20V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V23aminV7a+V23V9Ia<V23V7Aa<=c0V23La*V22V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V24aV6V24Ia<V24alengthV8Aa<=c0V24FAa=alengthV8alengthV6FLalengthV6F
asorted_subV15V13V16Ia=alengthV14alengthV15Aa<=V17alengthV14Aa<=V16V17Aa<=V13V16Aa<=c0V13Iasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V19aminV7a+V19a*c2V9Ia<V19V13Aa<=c0V19La*V18a*c2V9FAasorted_subV15V21aminV7a+V21V9Ia<V21V7Aa<=V13V21La*V20V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V23aminV7a+V23V9Ia<V23V7Aa<=c0V23La*V22V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V24aV6V24Ia<V24alengthV8Aa<=c0V24FAa=alengthV8alengthV6FLalengthV6F
asorted_subV15V16V17Iasorted_subV15V13V16Ia=alengthV14alengthV15Aa<=V17alengthV14Aa<=V16V17Aa<=V13V16Aa<=c0V13Iasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V19aminV7a+V19a*c2V9Ia<V19V13Aa<=c0V19La*V18a*c2V9FAasorted_subV15V21aminV7a+V21V9Ia<V21V7Aa<=V13V21La*V20V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V23aminV7a+V23V9Ia<V23V7Aa<=c0V23La*V22V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V24aV6V24Ia<V24alengthV8Aa<=c0V24FAa=alengthV8alengthV6FLalengthV6F
apermut_subV15V18V13V17Ia=aV18V19aV15V19Ia<V19alengthV18Aa<=V17V19Oa<V19V13Aa<=c0V19FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V21aminV7a+V21a*c2V9Ia<V21V13Aa<=c0V21La*V20a*c2V9FAasorted_subV15V23aminV7a+V23V9Ia<V23V7Aa<=V13V23La*V22V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V25aminV7a+V25V9Ia<V25V7Aa<=c0V25La*V24V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V26aV6V26Ia<V26alengthV8Aa<=c0V26FAa=alengthV8alengthV6FLalengthV6F
apermutaeltsV15aeltsV18c0alengthV15Aa=alengthV15alengthV18Iamap_eq_subaeltsV15aeltsV18V17alengthV15Aapermut1V15V18V13V17Aamap_eq_subaeltsV15aeltsV18c0V13Ia=a@aeltsV18V19a@aeltsV15V19Ia<V19alengthV18Aa=V17V19Oa<V17V19Oa<V19V13Aa=c0V19Oa<c0V19FAapermutaeltsV15aeltsV18V13V17Aa<=V17alengthV15Aa<=c0V17Aa<=V13alengthV15Aa<=c0V13Aa=alengthV15alengthV18AaleaV18V20aV18V21Ia<V21V17Aa<V20V21Aa<=V13V20FIa=alengthV18alengthV15FIaleaV15V22aV15V23Ia<V23aminV7a+V16V9Aa<V22V23Aa<=V16V22FLaminV7a+V16V9IaleaV15V24aV15V25Ia<V25aminV7a+V13V9Aa<V24V25Aa<=V13V24FIa=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9IaleaV15V28aV15V29Ia<V29aminV7a+V27a*c2V9Aa<V28V29Aa<=V27V28FIa<V27V13Aa=c0V27Oa<c0V27La*V26a*c2V9FAaleaV15V32aV15V33Ia<V33aminV7a+V31V9Aa<V32V33Aa<=V31V32FIa<V31V7Aa=V13V31Oa<V13V31La*V30V9FAapermutaeltsV11aeltsV15c0alengthV11Aa=alengthV11alengthV15Aa=V13a*a*c2V12V9Aa=c0V13Oa<c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7IaleaV11V36aV11V37Ia<V37aminV7a+V35V9Aa<V36V37Aa<=V35V36FIa<V35V7Aa=c0V35Oa<c0V35La*V34V9FAapermutaelts
apermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V19aV15V19Ia<V19alengthV18Aa<=V17V19Oa<V19V13Aa<=c0V19FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V21aminV7a+V21a*c2V9Ia<V21V13Aa<=c0V21La*V20a*c2V9FAasorted_subV15V23aminV7a+V23V9Ia<V23V7Aa<=V13V23La*V22V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V25aminV7a+V25V9Ia<V25V7Aa<=c0V25La*V24V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V26aV6V26Ia<V26alengthV8Aa<=c0V26FAa=alengthV8alengthV6FLalengthV6F
a=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V19aV15V19Ia<V19alengthV18Aa<=V17V19Oa<V19V13Aa<=c0V19FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V21aminV7a+V21a*c2V9Ia<V21V13Aa<=c0V21La*V20a*c2V9FAasorted_subV15V23aminV7a+V23V9Ia<V23V7Aa<=V13V23La*V22V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V25aminV7a+V25V9Ia<V25V7Aa<=c0V25La*V24V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V26aV6V26Ia<V26alengthV8Aa<=c0V26FAa=alengthV8alengthV6FLalengthV6F
asorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V19aV15V19Ia<V19alengthV18Aa<=V17V19Oa<V19V13Aa<=c0V19FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V21aminV7a+V21a*c2V9Ia<V21V13Aa<=c0V21La*V20a*c2V9FAasorted_subV15V23aminV7a+V23V9Ia<V23V7Aa<=V13V23La*V22V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V25aminV7a+V25V9Ia<V25V7Aa<=c0V25La*V24V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V26aV6V26Ia<V26alengthV8Aa<=c0V26FAa=alengthV8alengthV6FLalengthV6F
asorted_subV18V20aminV7a+V20V9Aasorted_subV15V20aminV7a+V20V9Ia<V20V7Aa<=a+V16V9V20La*V19V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V21aV15V21Ia<V21alengthV18Aa<=V17V21Oa<V21V13Aa<=c0V21FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V23aminV7a+V23a*c2V9Ia<V23V13Aa<=c0V23La*V22a*c2V9FAasorted_subV15V25aminV7a+V25V9Ia<V25V7Aa<=V13V25La*V24V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V27aminV7a+V27V9Ia<V27V7Aa<=c0V27La*V26V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V28aV6V28Ia<V28alengthV8Aa<=c0V28FAa=alengthV8alengthV6FLalengthV6F
a<=V19V12Ia<V20a+V16V9Aa<=c0V20La*V19a*c2V9FIasorted_subV18V22aminV7a+V22V9Aasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=a+V16V9V22La*V21V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V23aV15V23Ia<V23alengthV18Aa<=V17V23Oa<V23V13Aa<=c0V23FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V25aminV7a+V25a*c2V9Ia<V25V13Aa<=c0V25La*V24a*c2V9FAasorted_subV15V27aminV7a+V27V9Ia<V27V7Aa<=V13V27La*V26V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V29aminV7a+V29V9Ia<V29V7Aa<=c0V29La*V28V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V30aV6V30Ia<V30alengthV8Aa<=c0V30FAa=alengthV8alengthV6FLalengthV6F
a<=aminV7a+V20a*c2V9V13Ia<V19V12Ia<=V19V12Ia<V20a+V16V9Aa<=c0V20La*V19a*c2V9FIasorted_subV18V22aminV7a+V22V9Aasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=a+V16V9V22La*V21V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V23aV15V23Ia<V23alengthV18Aa<=V17V23Oa<V23V13Aa<=c0V23FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V25aminV7a+V25a*c2V9Ia<V25V13Aa<=c0V25La*V24a*c2V9FAasorted_subV15V27aminV7a+V27V9Ia<V27V7Aa<=V13V27La*V26V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V29aminV7a+V29V9Ia<V29V7Aa<=c0V29La*V28V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V30aV6V30Ia<V30alengthV8Aa<=c0V30FAa=alengthV8alengthV6FLalengthV6F
asorted_subV15V20aminV7a+V20a*c2V9Ia<=aminV7a+V20a*c2V9V13Ia<V19V12Ia<=V19V12Ia<V20a+V16V9Aa<=c0V20La*V19a*c2V9FIasorted_subV18V22aminV7a+V22V9Aasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=a+V16V9V22La*V21V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V23aV15V23Ia<V23alengthV18Aa<=V17V23Oa<V23V13Aa<=c0V23FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V25aminV7a+V25a*c2V9Ia<V25V13Aa<=c0V25La*V24a*c2V9FAasorted_subV15V27aminV7a+V27V9Ia<V27V7Aa<=V13V27La*V26V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V29aminV7a+V29V9Ia<V29V7Aa<=c0V29La*V28V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V30aV6V30Ia<V30alengthV8Aa<=c0V30FAa=alengthV8alengthV6FLalengthV6F
asorted_subV18V20aminV7a+V20a*c2V9Iasorted_subV15V20aminV7a+V20a*c2V9Ia<=aminV7a+V20a*c2V9V13Ia<V19V12Ia<=V19V12Ia<V20a+V16V9Aa<=c0V20La*V19a*c2V9FIasorted_subV18V22aminV7a+V22V9Aasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=a+V16V9V22La*V21V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V23aV15V23Ia<V23alengthV18Aa<=V17V23Oa<V23V13Aa<=c0V23FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V25aminV7a+V25a*c2V9Ia<V25V13Aa<=c0V25La*V24a*c2V9FAasorted_subV15V27aminV7a+V27V9Ia<V27V7Aa<=V13V27La*V26V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V29aminV7a+V29V9Ia<V29V7Aa<=c0V29La*V28V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V30aV6V30Ia<V30alengthV8Aa<=c0V30FAa=alengthV8alengthV6FLalengthV6F
a=V20V13Ia=V19V12Iasorted_subV18V20aminV7a+V20a*c2V9Aasorted_subV15V20aminV7a+V20a*c2V9Aa<=aminV7a+V20a*c2V9V13Ia<V19V12Ia<=V19V12Ia<V20a+V16V9Aa<=c0V20La*V19a*c2V9FIasorted_subV18V22aminV7a+V22V9Aasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=a+V16V9V22La*V21V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V23aV15V23Ia<V23alengthV18Aa<=V17V23Oa<V23V13Aa<=c0V23FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V25aminV7a+V25a*c2V9Ia<V25V13Aa<=c0V25La*V24a*c2V9FAasorted_subV15V27aminV7a+V27V9Ia<V27V7Aa<=V13V27La*V26V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V29aminV7a+V29V9Ia<V29V7Aa<=c0V29La*V28V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V30aV6V30Ia<V30alengthV8Aa<=c0V30FAa=alengthV8alengthV6FLalengthV6F
asorted_subV18V20aminV7a+V20a*c2V9Ia=V19V12Iasorted_subV18V20aminV7a+V20a*c2V9Aasorted_subV15V20aminV7a+V20a*c2V9Aa<=aminV7a+V20a*c2V9V13Ia<V19V12Ia<=V19V12Ia<V20a+V16V9Aa<=c0V20La*V19a*c2V9FIasorted_subV18V22aminV7a+V22V9Aasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=a+V16V9V22La*V21V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V23aV15V23Ia<V23alengthV18Aa<=V17V23Oa<V23V13Aa<=c0V23FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V25aminV7a+V25a*c2V9Ia<V25V13Aa<=c0V25La*V24a*c2V9FAasorted_subV15V27aminV7a+V27V9Ia<V27V7Aa<=V13V27La*V26V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V29aminV7a+V29V9Ia<V29V7Aa<=c0V29La*V28V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V30aV6V30Ia<V30alengthV8Aa<=c0V30FAa=alength
asorted_subV18V20aminV7a+V20a*c2V9Aa=V20V13Ia=V19V12Aasorted_subV18V20aminV7a+V20a*c2V9Aasorted_subV15V20aminV7a+V20a*c2V9Aa<=aminV7a+V20a*c2V9V13Ia<V19V12Aa<=V19V12Ia<V20a+V16V9Aa<=c0V20La*V19a*c2V9FIasorted_subV18V22aminV7a+V22V9Aasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=a+V16V9V22La*V21V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V23aV15V23Ia<V23alengthV18Aa<=V17V23Oa<V23V13Aa<=c0V23FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V25aminV7a+V25a*c2V9Ia<V25V13Aa<=c0V25La*V24a*c2V9FAasorted_subV15V27aminV7a+V27V9Ia<V27V7Aa<=V13V27La*V26V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V29aminV7a+V29V9Ia<V29V7Aa<=c0V29La*V28V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V30aV6V30Ia<V30alengthV8Aa<=c0V30
a<a-a+V7V9V19a-a+V7V9V13Aa<=c0a-a+V7V9V13Ia=V20a+V12c1FIa=V19a+V16V9FIasorted_subV18V22aminV7a+V22a*c2V9Aa=V22V13Ia=V21V12Aasorted_subV18V22aminV7a+V22a*c2V9Aasorted_subV15V22aminV7a+V22a*c2V9Aa<=aminV7a+V22a*c2V9V13Ia<V21V12Aa<=V21V12Ia<V22a+V16V9Aa<=c0V22La*V21a*c2V9FIasorted_subV18V24aminV7a+V24V9Aasorted_subV15V24aminV7a+V24V9Ia<V24V7Aa<=a+V16V9V24La*V23V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V25aV15V25Ia<V25alengthV18Aa<=V17V25Oa<V25V13Aa<=c0V25FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V27aminV7a+V27a*c2V9Ia<V27V13Aa<=c0V27La*V26a*c2V9FAasorted_subV15V29aminV7a+V29V9Ia<V29V7Aa<=V13V29La*V28V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V31aminV7a+V31V9Ia<V31V7Aa<=c0V31La*V30V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11
loop variant decrease
a=V19a*a*c2V20V9Aa<=c0V19Ia=V20a+V12c1FIa=V19a+V16V9FIasorted_subV18V22aminV7a+V22a*c2V9Aa=V22V13Ia=V21V12Aasorted_subV18V22aminV7a+V22a*c2V9Aasorted_subV15V22aminV7a+V22a*c2V9Aa<=aminV7a+V22a*c2V9V13Ia<V21V12Aa<=V21V12Ia<V22a+V16V9Aa<=c0V22La*V21a*c2V9FIasorted_subV18V24aminV7a+V24V9Aasorted_subV15V24aminV7a+V24V9Ia<V24V7Aa<=a+V16V9V24La*V23V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V25aV15V25Ia<V25alengthV18Aa<=V17V25Oa<V25V13Aa<=c0V25FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V27aminV7a+V27a*c2V9Ia<V27V13Aa<=c0V27La*V26a*c2V9FAasorted_subV15V29aminV7a+V29V9Ia<V29V7Aa<=V13V29La*V28V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V31aminV7a+V31V9Ia<V31V7Aa<=c0V31La*V30V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alength
apermut_allV11V18Ia=V19a*a*c2V20V9Aa<=c0V19Ia=V20a+V12c1FIa=V19a+V16V9FIasorted_subV18V22aminV7a+V22a*c2V9Aa=V22V13Ia=V21V12Aasorted_subV18V22aminV7a+V22a*c2V9Aasorted_subV15V22aminV7a+V22a*c2V9Aa<=aminV7a+V22a*c2V9V13Ia<V21V12Aa<=V21V12Ia<V22a+V16V9Aa<=c0V22La*V21a*c2V9FIasorted_subV18V24aminV7a+V24V9Aasorted_subV15V24aminV7a+V24V9Ia<V24V7Aa<=a+V16V9V24La*V23V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V25aV15V25Ia<V25alengthV18Aa<=V17V25Oa<V25V13Aa<=c0V25FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V27aminV7a+V27a*c2V9Ia<V27V13Aa<=c0V27La*V26a*c2V9FAasorted_subV15V29aminV7a+V29V9Ia<V29V7Aa<=V13V29La*V28V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V31aminV7a+V31V9Ia<V31V7Aa<=c0V31La*V30V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV
asorted_subV18V22aminV7a+V22V9Ia<V22V7Aa<=V19V22La*V21V9FIapermut_allV11V18Ia=V19a*a*c2V20V9Aa<=c0V19Ia=V20a+V12c1FIa=V19a+V16V9FIasorted_subV18V24aminV7a+V24a*c2V9Aa=V24V13Ia=V23V12Aasorted_subV18V24aminV7a+V24a*c2V9Aasorted_subV15V24aminV7a+V24a*c2V9Aa<=aminV7a+V24a*c2V9V13Ia<V23V12Aa<=V23V12Ia<V24a+V16V9Aa<=c0V24La*V23a*c2V9FIasorted_subV18V26aminV7a+V26V9Aasorted_subV15V26aminV7a+V26V9Ia<V26V7Aa<=a+V16V9V26La*V25V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V27aV15V27Ia<V27alengthV18Aa<=V17V27Oa<V27V13Aa<=c0V27FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V29aminV7a+V29a*c2V9Ia<V29V13Aa<=c0V29La*V28a*c2V9FAasorted_subV15V31aminV7a+V31V9Ia<V31V7Aa<=V13V31La*V30V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V33aminV7a+V33V9Ia<V
asorted_subV18V22aminV7a+V22a*c2V9Ia<V22V19Aa<=c0V22La*V21a*c2V9FIasorted_subV18V24aminV7a+V24V9Ia<V24V7Aa<=V19V24La*V23V9FIapermut_allV11V18Ia=V19a*a*c2V20V9Aa<=c0V19Ia=V20a+V12c1FIa=V19a+V16V9FIasorted_subV18V26aminV7a+V26a*c2V9Aa=V26V13Ia=V25V12Aasorted_subV18V26aminV7a+V26a*c2V9Aasorted_subV15V26aminV7a+V26a*c2V9Aa<=aminV7a+V26a*c2V9V13Ia<V25V12Aa<=V25V12Ia<V26a+V16V9Aa<=c0V26La*V25a*c2V9FIasorted_subV18V28aminV7a+V28V9Aasorted_subV15V28aminV7a+V28V9Ia<V28V7Aa<=a+V16V9V28La*V27V9FIasorted_subV18V13aminV7a+V13a*c2V9Ia=V17aminV7a+V13a*c2V9Iapermut_allV15V18Iapermut_subV15V18V13V17Ia=aV18V29aV15V29Ia<V29alengthV18Aa<=V17V29Oa<V29V13Aa<=c0V29FAapermutV15V18V13V17Aasorted_subV18V13V17Ia=alengthV18alengthV15FIasorted_subV15V16aminV7a+V16V9LaminV7a+V16V9Iasorted_subV15V13aminV7a+V13V9Ia=V16a*a+a*c2V12c1V9La+V13V9Ia<V13a-V7V9Iasorted_subV15V31aminV7a+V31a*c2V9Ia<V31V13Aa<=c0V31La*V30a*c2V9FAasorted_subV15V33aminV7a+V33V9Ia<V33V7Aa<=V13V33La*V32V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11
asorted_subV15V17aminV7a+V17a*c2V9Aa=aminV7a+V17V9V7Aa=aminV7a+V17a*c2V9aminV7a+V17V9Aasorted_subV15V17aminV7a+V17V9Ia>=V17V13Aasorted_subV15V17aminV7a+V17a*c2V9Ia<V17V13Aa=V17a*a*V16c2V9Ia<V17V7Aa<=c0V17La*V16a*c2V9FINa<V13a-V7V9Iasorted_subV15V19aminV7a+V19a*c2V9Ia<V19V13Aa<=c0V19La*V18a*c2V9FAasorted_subV15V21aminV7a+V21V9Ia<V21V7Aa<=V13V21La*V20V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V23aminV7a+V23V9Ia<V23V7Aa<=c0V23La*V22V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V24aV6V24Ia<V24alengthV8Aa<=c0V24FAa=alengthV8alengthV6FLalengthV6F
a<a-a*c2V7V16a-a*c2V7V9Aa<=c0a-a*c2V7V9Ia=V16a*c2V9FIasorted_subV15V18aminV7a+V18a*c2V9Aa=aminV7a+V18V9V7Aa=aminV7a+V18a*c2V9aminV7a+V18V9Aasorted_subV15V18aminV7a+V18V9Ia>=V18V13Aasorted_subV15V18aminV7a+V18a*c2V9Ia<V18V13Aa=V18a*a*V17c2V9Ia<V18V7Aa<=c0V18La*V17a*c2V9FINa<V13a-V7V9Iasorted_subV15V20aminV7a+V20a*c2V9Ia<V20V13Aa<=c0V20La*V19a*c2V9FAasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=V13V22La*V21V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V24aminV7a+V24V9Ia<V24V7Aa<=c0V24La*V23V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V25aV6V25Ia<V25alengthV8Aa<=c0V25FAa=alengthV8alengthV6FLalengthV6F
a<=c1V16Ia=V16a*c2V9FIasorted_subV15V18aminV7a+V18a*c2V9Aa=aminV7a+V18V9V7Aa=aminV7a+V18a*c2V9aminV7a+V18V9Aasorted_subV15V18aminV7a+V18V9Ia>=V18V13Aasorted_subV15V18aminV7a+V18a*c2V9Ia<V18V13Aa=V18a*a*V17c2V9Ia<V18V7Aa<=c0V18La*V17a*c2V9FINa<V13a-V7V9Iasorted_subV15V20aminV7a+V20a*c2V9Ia<V20V13Aa<=c0V20La*V19a*c2V9FAasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=V13V22La*V21V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V24aminV7a+V24V9Ia<V24V7Aa<=c0V24La*V23V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V25aV6V25Ia<V25alengthV8Aa<=c0V25FAa=alengthV8alengthV6FLalengthV6F
apermut_allV6V15Ia<=c1V16Ia=V16a*c2V9FIasorted_subV15V18aminV7a+V18a*c2V9Aa=aminV7a+V18V9V7Aa=aminV7a+V18a*c2V9aminV7a+V18V9Aasorted_subV15V18aminV7a+V18V9Ia>=V18V13Aasorted_subV15V18aminV7a+V18a*c2V9Ia<V18V13Aa=V18a*a*V17c2V9Ia<V18V7Aa<=c0V18La*V17a*c2V9FINa<V13a-V7V9Iasorted_subV15V20aminV7a+V20a*c2V9Ia<V20V13Aa<=c0V20La*V19a*c2V9FAasorted_subV15V22aminV7a+V22V9Ia<V22V7Aa<=V13V22La*V21V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V24aminV7a+V24V9Ia<V24V7Aa<=c0V24La*V23V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V25aV6V25Ia<V25alengthV8Aa<=c0V25FAa=alengthV8alengthV6FLalengthV6F
asorted_subV15V18aminV7a+V18V16Ia<V18V7Aa<=c0V18La*V17V16FIapermut_allV6V15Ia<=c1V16Ia=V16a*c2V9FIasorted_subV15V20aminV7a+V20a*c2V9Aa=aminV7a+V20V9V7Aa=aminV7a+V20a*c2V9aminV7a+V20V9Aasorted_subV15V20aminV7a+V20V9Ia>=V20V13Aasorted_subV15V20aminV7a+V20a*c2V9Ia<V20V13Aa=V20a*a*V19c2V9Ia<V20V7Aa<=c0V20La*V19a*c2V9FINa<V13a-V7V9Iasorted_subV15V22aminV7a+V22a*c2V9Ia<V22V13Aa<=c0V22La*V21a*c2V9FAasorted_subV15V24aminV7a+V24V9Ia<V24V7Aa<=V13V24La*V23V9FAapermut_allV11V15Aa=V13a*a*c2V12V9Aa<=c0V13Ia=alengthV15alengthV11Ia=alengthV14alengthV10FIa<V9V7Iasorted_subV11V26aminV7a+V26V9Ia<V26V7Aa<=c0V26La*V25V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V27aV6V27Ia<V27alengthV8Aa<=c0V27FAa=alengthV8alengthV6FLalengthV6F
asorted_subV11a*c0V9aminV7a+c0V9INa<V9V7Iasorted_subV11V13aminV7a+V13V9Ia<V13V7Aa<=c0V13La*V12V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V14aV6V14Ia<V14alengthV8Aa<=c0V14FAa=alengthV8alengthV6FLalengthV6F
asortedV11Iasorted_subV11a*c0V9aminV7a+c0V9INa<V9V7Iasorted_subV11V13aminV7a+V13V9Ia<V13V7Aa<=c0V13La*V12V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V14aV6V14Ia<V14alengthV8Aa<=c0V14FAa=alengthV8alengthV6FLalengthV6F
apermut_allV6V11IasortedV11Iasorted_subV11a*c0V9aminV7a+c0V9INa<V9V7Iasorted_subV11V13aminV7a+V13V9Ia<V13V7Aa<=c0V13La*V12V9FAapermut_allV6V11Aa<=c1V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V14aV6V14Ia<V14alengthV8Aa<=c0V14FAa=alengthV8alengthV6FLalengthV6F
iapermut_allV6V11AasortedV11Aasorted_subV11a*c0V9aminV7a+c0V9iasorted_subV15V18aminV7a+V18V16Ia<V18V7Aa<=c0V18La*V17V16FAapermut_allV6V15Aa<=c1V16Aa<a-a*c2V7V16a-a*c2V7V9Aa<=c0a-a*c2V7V9Ia=V16a*c2V9FAasorted_subV15V20aminV7a+V20a*c2V9Aa=aminV7a+V20V9V7Aa=aminV7a+V20a*c2V9aminV7a+V20V9Aasorted_subV15V20aminV7a+V20V9Ia>=V20V13Aasorted_subV15V20aminV7a+V20a*c2V9Ia<V20V13Aa=V20a*a*V19c2V9Ia<V20V7Aa<=c0V20La*V19a*c2V9Fasorted_subV23V27aminV7a+V27a*c2V9Ia<V27V24Aa<=c0V27La*V26a*c2V9FAasorted_subV23V29aminV7a+V29V9Ia<V29V7Aa<=V24V29La*V28V9FAapermut_allV11V23Aa=V24a*a*c2V25V9Aa<=c0V24Aa<a-a+V7V9V24a-a+V7V9V13Aa<=c0a-a+V7V9V13Ia=V25a+V12c1FIa=V24a+V21V9FAasorted_subV23V31aminV7a+V31a*c2V9Aa=V31V13Ia=V30V12Aasorted_subV23V31aminV7a+V31a*c2V9Aasorted_subV15V31aminV7a+V31a*c2V9Aa<=aminV7a+V31a*c2V9V13Ia<V30V12Aa<=V30V12Ia<V31a+V21V9Aa<=c0V31La*V30a*c2V9FAasorted_subV23V33aminV7a+V33V9Aasorted_subV15V33aminV7a+V33V9Ia<V33V7Aa<=a+V21V9V33La*V32V9FAasorted_subV23V13aminV7a+V13a*c2V9Aa=V22aminV7a+V13a*c2V9Aapermut_allV15V23
VC for bottom_up_mergesort
iNaleaV6a-V8c1aV6V8Ia<V8alengthV6Aasorted_subV6V7V8Aa<=V8alengthV6Aa<V7V8asorted_subV6V7V9Aa<=V9alengthV6Aa<V7V9Aa<a-alengthV6V9a-alengthV6V8Aa<=c0a-alengthV6V8Ia=V9a+V8c1FaleaV6a-V8c1aV6V8Aa<V8alengthV6Aa<V10alengthV6Aa<=c0V10La-V8c1Aa<V8alengthV6Aa<=c0V8Ia<V8alengthV6Iasorted_subV6V7V8Aa<=V8alengthV6Aa<V7V8FAasorted_subV6V7a+V7c1Aa<=a+V7c1alengthV6Aa<V7a+V7c1Ia<V7alengthV6Aa<=c0V7F
VC for find_run
asortedV6Ia<=V7c1LalengthV6F
apermut_allV6V6IasortedV6Ia<=V7c1LalengthV6F
asorted_subV6c0c0Aa<=c0V7Aa<=c0c0Ia=aV8V9aV6V9Ia<V9alengthV8Aa<=c0V9FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
apermut_allV6V6Iasorted_subV6c0c0Aa<=c0V7Aa<=c0c0Ia=aV8V9aV6V9Ia<V9alengthV8Aa<=c0V9FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<=c0V7Aa<=c0c0ItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V12aV6V12Ia<V12alengthV8Aa<=c0V12FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<=V9V7Aa<=V9V9Ia<=c0V7Aa<=c0c0ItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V12aV6V12Ia<V12alengthV8Aa<=c0V12FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
asorted_subV11c0V9Ia<=V9V7Aa<=V9V9Ia<=c0V7Aa<=c0c0ItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V12aV6V12Ia<V12alengthV8Aa<=c0V12FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a>V9V9Aa>=c0V9OtIasorted_subV11c0V9Ia<=V9V7Aa<=V9V9Ia<=c0V7Aa<=c0c0ItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V12aV6V12Ia<V12alengthV8Aa<=c0V12FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
apermut_allV11V11Ia>V9V9Aa>=c0V9OtIasorted_subV11c0V9Ia<=V9V7Aa<=V9V9Ia<=c0V7Aa<=c0c0ItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V12aV6V12Ia<V12alengthV8Aa<=c0V12FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<V12alengthV15Aa<=c0V12Ia<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V16aV6V16Ia<V16alengthV8Aa<=c0V16FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
asortedV15Ia=V12c0Ia=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V17aV6V17Ia<V17alengthV8Aa<=c0V17FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
apermut_allV6V15IasortedV15Ia=V12c0Ia=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V17aV6V17Ia<V17alengthV8Aa<=c0V17FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<a-V7V13a-V7V9Aa<=c0a-V7V9INa=V12c0Ia=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V17aV6V17Ia<V17alengthV8Aa<=c0V17FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
asorted_subV15c0V13Aa<=V13V7Aa<=c0V13INa=V12c0Ia=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V17aV6V17Ia<V17alengthV8Aa<=c0V17FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
apermut_allV6V15Iasorted_subV15c0V13Aa<=V13V7Aa<=c0V13INa=V12c0Ia=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V17aV6V17Ia<V17alengthV8Aa<=c0V17FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<V16alengthV15Aa<=c0V16INa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V17aV6V17Ia<V17alengthV8Aa<=c0V17FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a=alengthV14alengthV15Aa<=V17alengthV14Aa<=V16V17Aa<=V12V16Aa<=c0V12INaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V18aV6V18Ia<V18alengthV8Aa<=c0V18FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
asorted_subV15V12V16Ia=alengthV14alengthV15Aa<=V17alengthV14Aa<=V16V17Aa<=V12V16Aa<=c0V12INaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V18aV6V18Ia<V18alengthV8Aa<=c0V18FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
asorted_subV15V16V17Iasorted_subV15V12V16Ia=alengthV14alengthV15Aa<=V17alengthV14Aa<=V16V17Aa<=V12V16Aa<=c0V12INaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V18aV6V18Ia<V18alengthV8Aa<=c0V18FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
apermut_subV15V18V12V17Ia=aV18V19aV15V19Ia<V19alengthV18Aa<=V17V19Oa<V19V12Aa<=c0V19FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V20aV6V20Ia<V20alengthV8Aa<=c0V20FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a=alengthV15alengthV18Iamap_eq_subaeltsV15aeltsV18V17alengthV15AapermutV15V18V12V17Aamap_eq_subaeltsV15aeltsV18c0V12Ia=a@aeltsV18V19a@aeltsV15V19Ia<V19alengthV18Aa=V17V19Oa<V17V19Oa<V19V12Aa=c0V19Oa<c0V19FAapermut1aeltsV15aeltsV18V12V17Aa<=V17alengthV15Aa<=c0V17Aa<=V12alengthV15Aa<=c0V12Aa=alengthV15alengthV18AaleaV18V20aV18V21Ia<V21V17Aa<V20V21Aa<=V12V20FIa=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15AaleaV15V22aV15V23Ia<V23V17Aa<V22V23Aa<=V16V22FAa=V17alengthV15Oa<V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15AaleaV15V24aV15V25Ia<V25V16Aa<V24V25Aa<=V12V24FAa=V16alengthV15Oa<V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut1aeltsV11aeltsV15c0alengthV11Aa=alengthV11alengthV15Aa<V9V13Aa<=V13V12Oa=V12c0AaleaV15V26aV15V27Ia<V27V13Aa<V26V27Aa<=c0V26FAa=V13V7Oa<V13V7Aa=V9V13Oa<V9V13Aa=V12V7Oa<V12V7Aa=c0V12Oa<c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut1aeltsV6aeltsV11c0alengthV6Aa=alengthV6alengthV11AaleaV11V28aV11V29Ia<V29V9Aa<V28V29Aa<=c0V28FAa=V9V7Oa<V9V7Aa=c
VC for natural_mergesort
apermutaeltsV15aeltsV18c0alengthV15Iamap_eq_subaeltsV15aeltsV18V17alengthV15Aapermut1V15V18V12V17Aamap_eq_subaeltsV15aeltsV18c0V12Ia=a@aeltsV18V19a@aeltsV15V19Ia<V19alengthV18Aa=V17V19Oa<V17V19Oa<V19V12Aa=c0V19Oa<c0V19FAapermutaeltsV15aeltsV18V12V17Aa<=V17alengthV15Aa<=c0V17Aa<=V12alengthV15Aa<=c0V12Aa=alengthV15alengthV18AaleaV18V20aV18V21Ia<V21V17Aa<V20V21Aa<=V12V20FIa=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15AaleaV15V22aV15V23Ia<V23V17Aa<V22V23Aa<=V16V22FAa=V17alengthV15Oa<V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15AaleaV15V24aV15V25Ia<V25V16Aa<V24V25Aa<=V12V24FAa=V16alengthV15Oa<V16alengthV15Aa<V12V16FIa<V12a-V7c1IapermutaeltsV11aeltsV15c0alengthV11Aa=alengthV11alengthV15Aa<V9V13Aa<=V13V12Oa=V12c0AaleaV15V26aV15V27Ia<V27V13Aa<V26V27Aa<=c0V26FAa=V13V7Oa<V13V7Aa=V9V13Oa<V9V13Aa=V12V7Oa<V12V7Aa=c0V12Oa<c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermutaeltsV6aeltsV11c0alengthV6Aa=alengthV6alengthV11AaleaV11V28aV11V29Ia<V29V9Aa<V28V29Aa<=c0V28FAa=V9V7
apermutaeltsV15aeltsV18c0alengthV15Aa=alengthV15alengthV18Iamap_eq_subaeltsV15aeltsV18V17alengthV15Aapermut1V15V18V12V17Aamap_eq_subaeltsV15aeltsV18c0V12Ia=a@aeltsV18V19a@aeltsV15V19Ia<V19alengthV18Aa=V17V19Oa<V17V19Oa<V19V12Aa=c0V19Oa<c0V19FAapermutaeltsV15aeltsV18V12V17Aa<=V17alengthV15Aa<=c0V17Aa<=V12alengthV15Aa<=c0V12Aa=alengthV15alengthV18AaleaV18V20aV18V21Ia<V21V17Aa<V20V21Aa<=V12V20FIa=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15AaleaV15V22aV15V23Ia<V23V17Aa<V22V23Aa<=V16V22FAa=V17alengthV15Oa<V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15AaleaV15V24aV15V25Ia<V25V16Aa<V24V25Aa<=V12V24FAa=V16alengthV15Oa<V16alengthV15Aa<V12V16FIa<V12a-V7c1IapermutaeltsV11aeltsV15c0alengthV11Aa=alengthV11alengthV15Aa<V9V13Aa<=V13V12Oa=V12c0AaleaV15V26aV15V27Ia<V27V13Aa<V26V27Aa<=c0V26FAa=V13V7Oa<V13V7Aa=V9V13Oa<V9V13Aa=V12V7Oa<V12V7Aa=c0V12Oa<c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermutaeltsV6aeltsV11c0alengthV6Aa=alengthV6alengthV11AaleaV11V28aV11V29Ia<V29V9Aa<
apermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V19aV15V19Ia<V19alengthV18Aa<=V17V19Oa<V19V12Aa<=c0V19FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V20aV6V20Ia<V20alengthV8Aa<=c0V20FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<a-V7V20a-V7V12Aa<=c0a-V7V12Ia=V20V17FIa=V19V17FIa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V21aV15V21Ia<V21alengthV18Aa<=V17V21Oa<V21V12Aa<=c0V21FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V22aV6V22Ia<V22alengthV8Aa<=c0V22FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<=V20V7Aa<=c0V20Ia=V20V17FIa=V19V17FIa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V21aV15V21Ia<V21alengthV18Aa<=V17V21Oa<V21V12Aa<=c0V21FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V22aV6V22Ia<V22alengthV8Aa<=c0V22FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<=V19V7Aa<=V9V19Ia<=V20V7Aa<=c0V20Ia=V20V17FIa=V19V17FIa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V21aV15V21Ia<V21alengthV18Aa<=V17V21Oa<V21V12Aa<=c0V21FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V22aV6V22Ia<V22alengthV8Aa<=c0V22FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
asorted_subV18c0V19Ia<=V19V7Aa<=V9V19Ia<=V20V7Aa<=c0V20Ia=V20V17FIa=V19V17FIa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V21aV15V21Ia<V21alengthV18Aa<=V17V21Oa<V21V12Aa<=c0V21FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V22aV6V22Ia<V22alengthV8Aa<=c0V22FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a>V19V9Aa>=V20V19Oa=V20c0Iasorted_subV18c0V19Ia<=V19V7Aa<=V9V19Ia<=V20V7Aa<=c0V20Ia=V20V17FIa=V19V17FIa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V21aV15V21Ia<V21alengthV18Aa<=V17V21Oa<V21V12Aa<=c0V21FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V22aV6V22Ia<V22alengthV8Aa<=c0V22FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
apermut_allV11V18Ia>V19V9Aa>=V20V19Oa=V20c0Iasorted_subV18c0V19Ia<=V19V7Aa<=V9V19Ia<=V20V7Aa<=c0V20Ia=V20V17FIa=V19V17FIa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V21aV15V21Ia<V21alengthV18Aa<=V17V21Oa<V21V12Aa<=c0V21FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V22aV6V22Ia<V22alengthV8Aa<=c0V22FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<a-V7V19a-V7V12Aa<=c0a-V7V12Ia=V19V17FINa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V20aV15V20Ia<V20alengthV18Aa<=V17V20Oa<V20V12Aa<=c0V20FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V21aV6V21Ia<V21alengthV8Aa<=c0V21FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<=V19V7Aa<=c0V19Ia=V19V17FINa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V20aV15V20Ia<V20alengthV18Aa<=V17V20Oa<V20V12Aa<=c0V20FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V21aV6V21Ia<V21alengthV8Aa<=c0V21FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<=V13V7Aa<=V9V13Ia<=V19V7Aa<=c0V19Ia=V19V17FINa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V20aV15V20Ia<V20alengthV18Aa<=V17V20Oa<V20V12Aa<=c0V20FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V21aV6V21Ia<V21alengthV8Aa<=c0V21FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
asorted_subV18c0V13Ia<=V13V7Aa<=V9V13Ia<=V19V7Aa<=c0V19Ia=V19V17FINa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V20aV15V20Ia<V20alengthV18Aa<=V17V20Oa<V20V12Aa<=c0V20FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V21aV6V21Ia<V21alengthV8Aa<=c0V21FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a>V13V9Aa>=V19V13Oa=V19c0Iasorted_subV18c0V13Ia<=V13V7Aa<=V9V13Ia<=V19V7Aa<=c0V19Ia=V19V17FINa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V20aV15V20Ia<V20alengthV18Aa<=V17V20Oa<V20V12Aa<=c0V20FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V21aV6V21Ia<V21alengthV8Aa<=c0V21FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
apermut_allV11V18Ia>V13V9Aa>=V19V13Oa=V19c0Iasorted_subV18c0V13Ia<=V13V7Aa<=V9V13Ia<=V19V7Aa<=c0V19Ia=V19V17FINa=V12c0Iapermut_allV15V18Iapermut_subV15V18V12V17Ia=aV18V20aV15V20Ia<V20alengthV18Aa<=V17V20Oa<V20V12Aa<=c0V20FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FINaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FINa=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FIa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V21aV6V21Ia<V21alengthV8Aa<=c0V21FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
a<a-V7V13a-V7V9Aa<=c0a-V7V9INa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V16aV6V16Ia<V16alengthV8Aa<=c0V16FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
asorted_subV15c0V13Aa<=V13V7Aa<=c0V13INa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V16aV6V16Ia<V16alengthV8Aa<=c0V16FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
apermut_allV6V15Iasorted_subV15c0V13Aa<=V13V7Aa<=c0V13INa<V12a-V7c1Iapermut_allV11V15Aa>V13V9Aa>=V12V13Oa=V12c0Aasorted_subV15c0V13Aa<=V13V7Aa<=V9V13Aa<=V12V7Aa<=c0V12Ia=alengthV15alengthV11Ia=alengthV14alengthV10FItIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V16aV6V16Ia<V16alengthV8Aa<=c0V16FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
asortedV11INtIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V12aV6V12Ia<V12alengthV8Aa<=c0V12FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
apermut_allV6V11IasortedV11INtIapermut_allV6V11Aasorted_subV11c0V9Aa<=V9V7Aa<=c0V9Ia=alengthV11alengthV6Ia=alengthV10alengthV8FIa=aV8V12aV6V12Ia<V12alengthV8Aa<=c0V12FAa=alengthV8alengthV6FINa<=V7c1LalengthV6F
iiapermut_allV6V11AasortedV11iapermut_allV6V15Aasorted_subV15c0V13Aa<=V13V7Aa<=c0V13Aa<a-V7V13a-V7V9Aa<=c0a-V7V9iiapermut_allV11V18Aa>V13V9Aa>=V19V13Oa=V19c0Aasorted_subV18c0V13Aa<=V13V7Aa<=V9V13Aa<=V19V7Aa<=c0V19Aa<a-V7V19a-V7V12Aa<=c0a-V7V12Ia=V19V17Fapermut_allV11V18Aa>V20V9Aa>=V21V20Oa=V21c0Aasorted_subV18c0V20Aa<=V20V7Aa<=V9V20Aa<=V21V7Aa<=c0V21Aa<a-V7V21a-V7V12Aa<=c0a-V7V12Ia=V21V17FIa=V20V17Fa=V12c0Aapermut_allV15V18Aapermut_subV15V18V12V17Ia=aV18V22aV15V22Ia<V22alengthV18Aa<=V17V22Oa<V22V12Aa<=c0V22FAapermutV15V18V12V17Aasorted_subV18V12V17Ia=alengthV18alengthV15FAasorted_subV15V16V17Aasorted_subV15V12V16Aa=alengthV14alengthV15Aa<=V17alengthV14Aa<=V16V17Aa<=V12V16Aa<=c0V12INaleaV15a-V17c1aV15V17Ia<V17alengthV15Aasorted_subV15V16V17Aa<=V17alengthV15Aa<V16V17FAa<V16alengthV15Aa<=c0V16iapermut_allV6V15Aasorted_subV15c0V13Aa<=V13V7Aa<=c0V13Aa<a-V7V13a-V7V9Aa<=c0a-V7V9apermut_allV6V15AasortedV15a=V12c0a=V16V7INaleaV15a-V16c1aV15V16Ia<V16alengthV15Aasorted_subV15V12V16Aa<=V16alengthV15Aa<V12V16FAa<V12alength
a<V10alengthV7Aa<a+V8V9V10Oa=V10alengthV7Ia>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
asorted_subV7V8V10Ia<V10alengthV7Aa<a+V8V9V10Oa=V10alengthV7Ia>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
apermut_subV7V7V8alengthV7Iasorted_subV7V8V10Ia<V10alengthV7Aa<a+V8V9V10Oa=V10alengthV7Ia>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
tIa<V11V8Aa<=c0V11FIapermut_subV7V7V8alengthV7Iasorted_subV7V8V10Ia<V10alengthV7Aa<a+V8V9V10Oa=V10alengthV7Ia>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a<V8alengthV7Aa<=c0V8INa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a<V10alengthV7Aa<a+V8V9V10Oa=V10alengthV7Ia=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
asorted_subV7V8V10Ia<V10alengthV7Aa<a+V8V9V10Oa=V10alengthV7Ia=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
apermut_subV7V7V8alengthV7Iasorted_subV7V8V10Ia<V10alengthV7Aa<a+V8V9V10Oa=V10alengthV7Ia=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
tIa<V12V8Aa<=c0V12FIapermut_subV7V7V8alengthV7Iasorted_subV7V8V10Ia<V10alengthV7Aa<a+V8V9V10Oa=V10alengthV7Ia=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a<V11V10Aa<a+V8c0V11Ia<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
asorted_subV7V8V11Ia<V11V10Aa<a+V8c0V11Ia<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
apermut_subV7V7V8alengthV7Iasorted_subV7V8V11Ia<V11V10Aa<a+V8c0V11Ia<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
tIa<V13V8Aa<=c0V13FIapermut_subV7V7V8alengthV7Iasorted_subV7V8V11Ia<V11V10Aa<a+V8c0V11Ia<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a<V16V9Aa<=c0V9Ia=aV14V17aV7V17Ia<V17V8Aa<=c0V17FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a=alengthV14alengthV15Aa<=V13alengthV14Aa<=c0V13Ia=aV14V17aV7V17Ia<V17V8Aa<=c0V17FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a<=c0V16Ia=alengthV14alengthV15Aa<=V13alengthV14Aa<=c0V13Ia=aV14V17aV7V17Ia<V17V8Aa<=c0V17FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
amap_eq_subaeltsV7aeltsV17alengthV17alengthV7AapermutV7V17V8alengthV17Aamap_eq_subaeltsV7aeltsV17c0V8Ia=a@aeltsV17V20a@aeltsV14V20Ia<V20V13Aa=c0V20Oa<c0V20FAamap_eq_subaeltsV14aeltsV17alengthV17alengthV14AapermutV14V17V13alengthV17Aamap_eq_subaeltsV14aeltsV17c0V13AaleaV17V21aV17V22Ia<V22V19Aa<V21V22Aa<=V13V21FAa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=a@aeltsV14V23a@aeltsV7V23Ia<V23V8Aa=c0V23Oa<c0V23FAamap_eq_subaeltsV7aeltsV14alengthV14alengthV7AapermutV7V14V8alengthV14Aamap_eq_subaeltsV7aeltsV14c0V8AaleaV14V24aV14V25Ia<V25V13Aa<V24V25Aa<=V8V24FAa<V13V10Aa<a+V8V16V13Aa=V16V12Oa<V16V12Aa=c0V16Oa<c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa=c0a+V12c1Oa<c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7AaleaV7V26aV7V27Ia<V27V11Aa<V26V27Aa<=V8V26FAa=V11alengthV7Oa<V11alengthV7Aa<V8V11FINa<=a-V10c1V8LalengthV7Ia=c0V9Oa<c0V9Aa=alengthV7alengthV6Aa=V8alengthV7Oa<V8alengthV7Aa=c0V8Oa<c0V8F
apermut_subV7V17V8alengthV17Ia=aV17V20aV14V20Ia<V20V13Aa<=c0V20FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V21aV7V21Ia<V21V8Aa<=c0V21FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a=alengthV18alengthV17Aa<=V19alengthV18Aa<=V13V19Aa<=V8V13Aa<=c0V8Iapermut_subV7V17V8alengthV17Ia=aV17V20aV14V20Ia<V20V13Aa<=c0V20FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V21aV7V21Ia<V21V8Aa<=c0V21FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
asorted_subV17V8V13Ia=alengthV18alengthV17Aa<=V19alengthV18Aa<=V13V19Aa<=V8V13Aa<=c0V8Iapermut_subV7V17V8alengthV17Ia=aV17V20aV14V20Ia<V20V13Aa<=c0V20FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V21aV7V21Ia<V21V8Aa<=c0V21FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
asorted_subV17V13V19Iasorted_subV17V8V13Ia=alengthV18alengthV17Aa<=V19alengthV18Aa<=V13V19Aa<=V8V13Aa<=c0V8Iapermut_subV7V17V8alengthV17Ia=aV17V20aV14V20Ia<V20V13Aa<=c0V20FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V21aV7V21Ia<V21V8Aa<=c0V21FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
apermut_subV17V20V8V19Ia=aV20V21aV17V21Ia<V21alengthV20Aa<=V19V21Oa<V21V8Aa<=c0V21FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V22aV14V22Ia<V22V13Aa<=c0V22FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V23aV7V23Ia<V23V8Aa<=c0V23FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
apermut_subV17V20V8alengthV20Iapermut_subV17V20V8V19Ia=aV20V21aV17V21Ia<V21alengthV20Aa<=V19V21Oa<V21V8Aa<=c0V21FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V22aV14V22Ia<V22V13Aa<=c0V22FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V23aV7V23Ia<V23V8Aa<=c0V23FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a<V10alengthV20Aa<a+V8V9V10Oa=V10alengthV20Ia=V21V10Ia=V21V19FIapermut_subV17V20V8alengthV20Iapermut_subV17V20V8V19Ia=aV20V22aV17V22Ia<V22alengthV20Aa<=V19V22Oa<V22V8Aa<=c0V22FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V23aV14V23Ia<V23V13Aa<=c0V23FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V24aV7V24Ia<V24V8Aa<=c0V24FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
asorted_subV20V8V10Ia<V10alengthV20Aa<a+V8V9V10Oa=V10alengthV20Ia=V21V10Ia=V21V19FIapermut_subV17V20V8alengthV20Iapermut_subV17V20V8V19Ia=aV20V22aV17V22Ia<V22alengthV20Aa<=V19V22Oa<V22V8Aa<=c0V22FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V23aV14V23Ia<V23V13Aa<=c0V23FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V24aV7V24Ia<V24V8Aa<=c0V24FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
apermut_subV7V20V8alengthV20Iasorted_subV20V8V10Ia<V10alengthV20Aa<a+V8V9V10Oa=V10alengthV20Ia=V21V10Ia=V21V19FIapermut_subV17V20V8alengthV20Iapermut_subV17V20V8V19Ia=aV20V22aV17V22Ia<V22alengthV20Aa<=V19V22Oa<V22V8Aa<=c0V22FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V23aV14V23Ia<V23V13Aa<=c0V23FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V24aV7V24Ia<V24V8Aa<=c0V24FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a=aV20V22aV7V22Ia<V22V8Aa<=c0V22FIapermut_subV7V20V8alengthV20Iasorted_subV20V8V10Ia<V10alengthV20Aa<a+V8V9V10Oa=V10alengthV20Ia=V21V10Ia=V21V19FIapermut_subV17V20V8alengthV20Iapermut_subV17V20V8V19Ia=aV20V23aV17V23Ia<V23alengthV20Aa<=V19V23Oa<V23V8Aa<=c0V23FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V24aV14V24Ia<V24V13Aa<=c0V24FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V25aV7V25Ia<V25V8Aa<=c0V25FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a<V21V10Aa<a+V8a+V16c1V21INa=V21V10Ia=V21V19FIapermut_subV17V20V8alengthV20Iapermut_subV17V20V8V19Ia=aV20V22aV17V22Ia<V22alengthV20Aa<=V19V22Oa<V22V8Aa<=c0V22FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V23aV14V23Ia<V23V13Aa<=c0V23FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V24aV7V24Ia<V24V8Aa<=c0V24FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
asorted_subV20V8V21Ia<V21V10Aa<a+V8a+V16c1V21INa=V21V10Ia=V21V19FIapermut_subV17V20V8alengthV20Iapermut_subV17V20V8V19Ia=aV20V22aV17V22Ia<V22alengthV20Aa<=V19V22Oa<V22V8Aa<=c0V22FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V23aV14V23Ia<V23V13Aa<=c0V23FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V24aV7V24Ia<V24V8Aa<=c0V24FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
apermut_subV7V20V8alengthV20Iasorted_subV20V8V21Ia<V21V10Aa<a+V8a+V16c1V21INa=V21V10Ia=V21V19FIapermut_subV17V20V8alengthV20Iapermut_subV17V20V8V19Ia=aV20V22aV17V22Ia<V22alengthV20Aa<=V19V22Oa<V22V8Aa<=c0V22FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V23aV14V23Ia<V23V13Aa<=c0V23FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V24aV7V24Ia<V24V8Aa<=c0V24FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a=aV20V22aV7V22Ia<V22V8Aa<=c0V22FIapermut_subV7V20V8alengthV20Iasorted_subV20V8V21Ia<V21V10Aa<a+V8a+V16c1V21INa=V21V10Ia=V21V19FIapermut_subV17V20V8alengthV20Iapermut_subV17V20V8V19Ia=aV20V23aV17V23Ia<V23alengthV20Aa<=V19V23Oa<V23V8Aa<=c0V23FAapermutV17V20V8V19Aasorted_subV20V8V19Ia=alengthV20alengthV17FIapermut_subV7V17V8alengthV17Ia=aV17V24aV14V24Ia<V24V13Aa<=c0V24FAapermut_subV14V17V13alengthV17Aasorted_subV17V13V19Aa<V19alengthV17Aa<a+V13V16V19Oa=V19alengthV17FIa=alengthV18alengthV15Ia=alengthV17alengthV14FIa=aV14V25aV7V25Ia<V25V8Aa<=c0V25FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8V16V13Aa<=V16V12Aa<=c0V16FIa=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a<V13alengthV14Aa<a+V8V9V13Oa=V13alengthV14Ia=aV14V16aV7V16Ia<V16V8Aa<=c0V16FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8a+V12c1V13Ia=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
asorted_subV14V8V13Ia<V13alengthV14Aa<a+V8V9V13Oa=V13alengthV14Ia=aV14V16aV7V16Ia<V16V8Aa<=c0V16FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8a+V12c1V13Ia=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
apermut_subV7V14V8alengthV14Iasorted_subV14V8V13Ia<V13alengthV14Aa<a+V8V9V13Oa=V13alengthV14Ia=aV14V16aV7V16Ia<V16V8Aa<=c0V16FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8a+V12c1V13Ia=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
a=aV14V16aV7V16Ia<V16V8Aa<=c0V16FIapermut_subV7V14V8alengthV14Iasorted_subV14V8V13Ia<V13alengthV14Aa<a+V8V9V13Oa=V13alengthV14Ia=aV14V17aV7V17Ia<V17V8Aa<=c0V17FAapermut_subV7V14V8alengthV14Aasorted_subV14V8V13Aa<V13V10Aa<a+V8a+V12c1V13Ia=alengthV15alengthV6Ia=alengthV14alengthV7FIa<=c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
tIa<V13V8Aa<=c0V13FAapermut_subV7V7V8alengthV7Aasorted_subV7V8V11Aa<V11alengthV7Aa<a+V8V9V11Oa=V11alengthV7Ia>c0a+V12c1La-V9c1INa=V11V10INaleaV7a-V11c1aV7V11Ia<V11alengthV7Aasorted_subV7V8V11Aa<=V11alengthV7Aa<V8V11FINa>=V8a-V10c1LalengthV7Ia<=c0V9Aa=alengthV7alengthV6Aa<=V8alengthV7Aa<=c0V8F
iitIa<V13V8Aa<=c0V13FAapermut_subV7V7V8alengthV7Aasorted_subV7V8V11Aa<V11alengthV7Aa<a+V8V9V11Oa=V11alengthV7Ia>c0a+V12c1Aa=aV15V17aV7V17Ia<V17V8Aa<=c0V17FAapermut_subV7V15V8alengthV15Aasorted_subV15V8V14Aa<V14alengthV15Aa<a+V8V9V14Oa=V14alengthV15Ia=aV15V18aV7V18Ia<V18V8Aa<=c0V18FAapermut_subV7V15V8alengthV15Aasorted_subV15V8V14Aa<V14V10Aa<a+V8a+V12c1V14Aia=aV23V25aV7V25Ia<V25V8Aa<=c0V25FAapermut_subV7V23V8alengthV23Aasorted_subV23V8V24Aa<V24V10Aa<a+V8a+V19c1V24a=aV23V26aV7V26Ia<V26V8Aa<=c0V26FAapermut_subV7V23V8alengthV23Aasorted_subV23V8V10Aa<V10alengthV23Aa<a+V8V9V10Oa=V10alengthV23a=V24V10Ia=V24V22FAapermut_subV20V23V8alengthV23Aapermut_subV20V23V8V22Ia=aV23V27aV20V27Ia<V27alengthV23Aa<=V22V27Oa<V27V8Aa<=c0V27FAapermutV20V23V8V22Aasorted_subV23V8V22Ia=alengthV23alengthV20FAasorted_subV20V14V22Aasorted_subV20V8V14Aa=alengthV21alengthV20Aa<=V22alengthV21Aa<=V14V22Aa<=V8V14Aa<=c0V8Aapermut_subV7V20V8alengthV20Ia=aV20V28aV15V28Ia<V28V14Aa<=c0V28FAapermut_subV15V20V14alengthV20Aasorted_subV20V14V22Aa<V22alength
VC for naturalrec
apermut_allV6V9AasortedV9Ia=aV9V11aV6V11Ia<V11c0Aa<=c0V11FAapermut_subV6V9c0alengthV9Aasorted_subV9c0V10Aa<V10alengthV9Aa<a+c0V8V10Oa=V10alengthV9FIa=alengthV9alengthV6FAa<=c0V8Aa=alengthV6alengthV7Aa<=c0alengthV6Aa<=c0c0LalengthV6Ia=aV7V12aV6V12Ia<V12alengthV7Aa<=c0V12FAa=alengthV7alengthV6FF
VC for natural_mergesort2

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