apermut_subV0V8V1a+V2c1AaexchangeV0V8V3V4AaexchangeV0V8V3V4Ia=V8aV7V4V5Aa=aeltsV8asetaeltsV7V4V5Ia=alengthV8alengthV7FAa<V4alengthV7Aa<=c0V4Ia=V7aV0V3V6Aa=aeltsV7asetaeltsV0V3V6Ia=alengthV7alengthV0FAa<V3alengthV0Aa<=c0V3LaV0V4Aa<V4alengthV0Aa<=c0V4LaV0V3Aa<V3alengthV0Aa<=c0V3Ia<=V4V2Aa<=V1V4Aa<V2alengthV0Aa<=V3V2Aa<=V1V3Aa<=c0V1F
VC for exchange
a<V3alengthV0Aa<=c0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
index in array bounds
a<=V9V2Aa<=V1V9Ia=aV10V3V4Aa>=aV10V11V4Ia<=V11V2Aa<V8V11FAa<=aV10V12V4Ia<V12V9Aa<=V1V12FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
loop invariant init
a<=aV10V11V4Ia<V11V9Aa<=V1V11FIa<=V9V2Aa<=V1V9Ia=aV10V3V4Aa>=aV10V12V4Ia<=V12V2Aa<V8V12FAa<=aV10V13V4Ia<V13V9Aa<=V1V13FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<V11alengthV10Aa<=c0V11Ia<V11V2Ia<=aV10V12V4Ia<V12V11Aa<=V1V12FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V13V4Ia<=V13V2Aa<V8V13FAa<=aV10V14V4Ia<V14V9Aa<=V1V14FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<a-V2V12a-V2V11Aa<=c0a-V2V11Ia=V12a+V11c1FIa<=aV10V11V4Aa<V11V2Ia<=aV10V13V4Ia<V13V11Aa<=V1V13FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V14V4Ia<=V14V2Aa<V8V14FAa<=aV10V15V4Ia<V15V9Aa<=V1V15FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
loop variant decrease
a<=V12V2Aa<=V1V12Ia=V12a+V11c1FIa<=aV10V11V4Aa<V11V2Ia<=aV10V13V4Ia<V13V11Aa<=V1V13FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V14V4Ia<=V14V2Aa<V8V14FAa<=aV10V15V4Ia<V15V9Aa<=V1V15FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
loop invariant preservation
a<=aV10V13V4Ia<V13V12Aa<=V1V13FIa<=V12V2Aa<=V1V12Ia=V12a+V11c1FIa<=aV10V11V4Aa<V11V2Ia<=aV10V14V4Ia<V14V11Aa<=V1V14FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V8V2Aa<=V1V8INa<=aV10V11V4Aa<V11V2Ia<=aV10V12V4Ia<V12V11Aa<=V1V12FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V13V4Ia<=V13V2Aa<V8V13FAa<=aV10V14V4Ia<V14V9Aa<=V1V14FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>=aV10V12V4Ia<=V12V2Aa<V8V12FIa<=V8V2Aa<=V1V8INa<=aV10V11V4Aa<V11V2Ia<=aV10V13V4Ia<V13V11Aa<=V1V13FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V14V4Ia<=V14V2Aa<V8V14FAa<=aV10V15V4Ia<V15V9Aa<=V1V15FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<V12alengthV10Aa<=c0V12Ia<V1V12Ia>=aV10V13V4Ia<=V13V2Aa<V12V13FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V14V4Ia<V14V11Aa<=V1V14FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<V13V12Aa<=c0V12Ia=V13a-V12c1FIa>=aV10V12V4Aa<V1V12Ia>=aV10V14V4Ia<=V14V2Aa<V12V14FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V15V4Ia<V15V11Aa<=V1V15FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V16V4Ia<=V16V2Aa<V8V16FAa<=aV10V17V4Ia<V17V9Aa<=V1V17FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V13V2Aa<=V1V13Ia=V13a-V12c1FIa>=aV10V12V4Aa<V1V12Ia>=aV10V14V4Ia<=V14V2Aa<V12V14FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V15V4Ia<V15V11Aa<=V1V15FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V16V4Ia<=V16V2Aa<V8V16FAa<=aV10V17V4Ia<V17V9Aa<=V1V17FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>=aV10V14V4Ia<=V14V2Aa<V13V14FIa<=V13V2Aa<=V1V13Ia=V13a-V12c1FIa>=aV10V12V4Aa<V1V12Ia>=aV10V15V4Ia<=V15V2Aa<V12V15FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V16V4Ia<V16V11Aa<=V1V16FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V17V4Ia<=V17V2Aa<V8V17FAa<=aV10V18V4Ia<V18V9Aa<=V1V18FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V12V2Aa<=V1V12Aa<V2alengthV10Aa<=V11V2Aa<=V1V11Aa<=c0V1Ia<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V13V4Ia<=V13V2Aa<V12V13FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V14V4Ia<V14V11Aa<=V1V14FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
precondition
a<a-a+c1V15V14a-a+c1V8V9Aa<=c0a-a+c1V8V9Ia=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V16V4Ia<=V16V2Aa<V12V16FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V17V4Ia<V17V11Aa<=V1V17FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V18V4Ia<=V18V2Aa<V8V18FAa<=aV10V19V4Ia<V19V9Aa<=V1V19FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
variant decrease
a<=V14V2Aa<=V1V14Aa<=V15V2Aa<=V1V15Ia=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V16V4Ia<=V16V2Aa<V12V16FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V17V4Ia<V17V11Aa<=V1V17FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V18V4Ia<=V18V2Aa<V8V18FAa<=aV10V19V4Ia<V19V9Aa<=V1V19FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
apermut_subV0V13V1a+V2c1Ia<=V14V2Aa<=V1V14Aa<=V15V2Aa<=V1V15Ia=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V16V4Ia<=V16V2Aa<V12V16FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V17V4Ia<V17V11Aa<=V1V17FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V18V4Ia<=V18V2Aa<V8V18FAa<=aV10V19V4Ia<V19V9Aa<=V1V19FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=aV13V16V4Ia<V16V14Aa<=V1V16FIapermut_subV0V13V1a+V2c1Ia<=V14V2Aa<=V1V14Aa<=V15V2Aa<=V1V15Ia=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V17V4Ia<=V17V2Aa<V12V17FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V18V4Ia<V18V11Aa<=V1V18FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V19V4Ia<=V19V2Aa<V8V19FAa<=aV10V20V4Ia<V20V9Aa<=V1V20FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>=aV13V16V4Ia<=V16V2Aa<V15V16FIa<=aV13V17V4Ia<V17V14Aa<=V1V17FIapermut_subV0V13V1a+V2c1Ia<=V14V2Aa<=V1V14Aa<=V15V2Aa<=V1V15Ia=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V18V4Ia<=V18V2Aa<V12V18FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V19V4Ia<V19V11Aa<=V1V19FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V20V4Ia<=V20V2Aa<V8V20FAa<=aV10V21V4Ia<V21V9Aa<=V1V21FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a=aV13V3V4Ia>=aV13V16V4Ia<=V16V2Aa<V15V16FIa<=aV13V17V4Ia<V17V14Aa<=V1V17FIapermut_subV0V13V1a+V2c1Ia<=V14V2Aa<=V1V14Aa<=V15V2Aa<=V1V15Ia=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V18V4Ia<=V18V2Aa<V12V18FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V19V4Ia<V19V11Aa<=V1V19FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V20V4Ia<=V20V2Aa<V8V20FAa<=aV10V21V4Ia<V21V9Aa<=V1V21FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V17V2Aa<=V16V17Aa<=V1V16Ia>=aV18V19V4Ia<=V19V2Aa<V16V19FAa<=aV18V20V4Ia<V20V17Aa<=V1V20FAa=aV18V3V4Aa<aV18V16V4Oa=V16V1Aa>aV18V17V4Oa=V17V2Aapermut_subV13V18V1a+V2c1Aa<=V17V2Aa<=V16V17Aa<=V1V16Ia=alengthV18alengthV13FIa=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V21V4Ia<=V21V2Aa<V12V21FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V22V4Ia<V22V11Aa<=V1V22FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V23V4Ia<=V23V2Aa<V8V23FAa<=aV10V24V4Ia<V24V9Aa<=V1V24FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
postcondition
apermut_subV10V18V1a+V2c1Ia<=V17V2Aa<=V16V17Aa<=V1V16Ia>=aV18V19V4Ia<=V19V2Aa<V16V19FAa<=aV18V20V4Ia<V20V17Aa<=V1V20FAa=aV18V3V4Aa<aV18V16V4Oa=V16V1Aa>aV18V17V4Oa=V17V2Aapermut_subV13V18V1a+V2c1Aa<=V17V2Aa<=V16V17Aa<=V1V16Ia=alengthV18alengthV13FIa=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V21V4Ia<=V21V2Aa<V12V21FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V22V4Ia<V22V11Aa<=V1V22FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V23V4Ia<=V23V2Aa<V8V23FAa<=aV10V24V4Ia<V24V9Aa<=V1V24FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>aV18V17V4Oa=V17V2Iapermut_subV10V18V1a+V2c1Ia<=V17V2Aa<=V16V17Aa<=V1V16Ia>=aV18V19V4Ia<=V19V2Aa<V16V19FAa<=aV18V20V4Ia<V20V17Aa<=V1V20FAa=aV18V3V4Aa<aV18V16V4Oa=V16V1Aa>aV18V17V4Oa=V17V2Aapermut_subV13V18V1a+V2c1Aa<=V17V2Aa<=V16V17Aa<=V1V16Ia=alengthV18alengthV13FIa=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V21V4Ia<=V21V2Aa<V12V21FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V22V4Ia<V22V11Aa<=V1V22FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V23V4Ia<=V23V2Aa<V8V23FAa<=aV10V24V4Ia<V24V9Aa<=V1V24FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<aV18V16V4Oa=V16V1Ia>aV18V17V4Oa=V17V2Iapermut_subV10V18V1a+V2c1Ia<=V17V2Aa<=V16V17Aa<=V1V16Ia>=aV18V19V4Ia<=V19V2Aa<V16V19FAa<=aV18V20V4Ia<V20V17Aa<=V1V20FAa=aV18V3V4Aa<aV18V16V4Oa=V16V1Aa>aV18V17V4Oa=V17V2Aapermut_subV13V18V1a+V2c1Aa<=V17V2Aa<=V16V17Aa<=V1V16Ia=alengthV18alengthV13FIa=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V21V4Ia<=V21V2Aa<V12V21FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V22V4Ia<V22V11Aa<=V1V22FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V23V4Ia<=V23V2Aa<V8V23FAa<=aV10V24V4Ia<V24V9Aa<=V1V24FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a=aV18V3V4Ia<aV18V16V4Oa=V16V1Ia>aV18V17V4Oa=V17V2Iapermut_subV10V18V1a+V2c1Ia<=V17V2Aa<=V16V17Aa<=V1V16Ia>=aV18V19V4Ia<=V19V2Aa<V16V19FAa<=aV18V20V4Ia<V20V17Aa<=V1V20FAa=aV18V3V4Aa<aV18V16V4Oa=V16V1Aa>aV18V17V4Oa=V17V2Aapermut_subV13V18V1a+V2c1Aa<=V17V2Aa<=V16V17Aa<=V1V16Ia=alengthV18alengthV13FIa=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V21V4Ia<=V21V2Aa<V12V21FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V22V4Ia<V22V11Aa<=V1V22FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V23V4Ia<=V23V2Aa<V8V23FAa<=aV10V24V4Ia<V24V9Aa<=V1V24FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=aV18V19V4Ia<V19V17Aa<=V1V19FIa=aV18V3V4Ia<aV18V16V4Oa=V16V1Ia>aV18V17V4Oa=V17V2Iapermut_subV10V18V1a+V2c1Ia<=V17V2Aa<=V16V17Aa<=V1V16Ia>=aV18V20V4Ia<=V20V2Aa<V16V20FAa<=aV18V21V4Ia<V21V17Aa<=V1V21FAa=aV18V3V4Aa<aV18V16V4Oa=V16V1Aa>aV18V17V4Oa=V17V2Aapermut_subV13V18V1a+V2c1Aa<=V17V2Aa<=V16V17Aa<=V1V16Ia=alengthV18alengthV13FIa=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V22V4Ia<=V22V2Aa<V12V22FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V23V4Ia<V23V11Aa<=V1V23FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V24V4Ia<=V24V2Aa<V8V24FAa<=aV10V25V4Ia<V25V9Aa<=V1V25FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>=aV18V19V4Ia<=V19V2Aa<V16V19FIa<=aV18V20V4Ia<V20V17Aa<=V1V20FIa=aV18V3V4Ia<aV18V16V4Oa=V16V1Ia>aV18V17V4Oa=V17V2Iapermut_subV10V18V1a+V2c1Ia<=V17V2Aa<=V16V17Aa<=V1V16Ia>=aV18V21V4Ia<=V21V2Aa<V16V21FAa<=aV18V22V4Ia<V22V17Aa<=V1V22FAa=aV18V3V4Aa<aV18V16V4Oa=V16V1Aa>aV18V17V4Oa=V17V2Aapermut_subV13V18V1a+V2c1Aa<=V17V2Aa<=V16V17Aa<=V1V16Ia=alengthV18alengthV13FIa=V15a-V12c1FIa=V14a+V11c1FIapermut_subV10V13V1a+V2c1AaexchangeV10V13V11V12Ia=alengthV13alengthV10FIa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V23V4Ia<=V23V2Aa<V12V23FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V24V4Ia<V24V11Aa<=V1V24FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V25V4Ia<=V25V2Aa<V8V25FAa<=aV10V26V4Ia<V26V9Aa<=V1V26FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V11V2Aa<=V12V11Aa<=V1V12INa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V13V4Ia<=V13V2Aa<V12V13FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V14V4Ia<V14V11Aa<=V1V14FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
apermut_subV10V10V1a+V2c1Ia<=V11V2Aa<=V12V11Aa<=V1V12INa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V13V4Ia<=V13V2Aa<V12V13FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V14V4Ia<V14V11Aa<=V1V14FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>aV10V11V4Oa=V11V2Iapermut_subV10V10V1a+V2c1Ia<=V11V2Aa<=V12V11Aa<=V1V12INa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V13V4Ia<=V13V2Aa<V12V13FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V14V4Ia<V14V11Aa<=V1V14FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<aV10V12V4Oa=V12V1Ia>aV10V11V4Oa=V11V2Iapermut_subV10V10V1a+V2c1Ia<=V11V2Aa<=V12V11Aa<=V1V12INa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V13V4Ia<=V13V2Aa<V12V13FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V14V4Ia<V14V11Aa<=V1V14FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a=aV10V3V4Ia<aV10V12V4Oa=V12V1Ia>aV10V11V4Oa=V11V2Iapermut_subV10V10V1a+V2c1Ia<=V11V2Aa<=V12V11Aa<=V1V12INa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V13V4Ia<=V13V2Aa<V12V13FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V14V4Ia<V14V11Aa<=V1V14FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=aV10V13V4Ia<V13V11Aa<=V1V13FIa=aV10V3V4Ia<aV10V12V4Oa=V12V1Ia>aV10V11V4Oa=V11V2Iapermut_subV10V10V1a+V2c1Ia<=V11V2Aa<=V12V11Aa<=V1V12INa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V14V4Ia<=V14V2Aa<V12V14FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V15V4Ia<V15V11Aa<=V1V15FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V16V4Ia<=V16V2Aa<V8V16FAa<=aV10V17V4Ia<V17V9Aa<=V1V17FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>=aV10V13V4Ia<=V13V2Aa<V12V13FIa<=aV10V14V4Ia<V14V11Aa<=V1V14FIa=aV10V3V4Ia<aV10V12V4Oa=V12V1Ia>aV10V11V4Oa=V11V2Iapermut_subV10V10V1a+V2c1Ia<=V11V2Aa<=V12V11Aa<=V1V12INa<V11V12INa>=aV10V12V4Aa<V1V12Ia>=aV10V15V4Ia<=V15V2Aa<V12V15FAa<=V12V2Aa<=V1V12FINa<=aV10V11V4Aa<V11V2Ia<=aV10V16V4Ia<V16V11Aa<=V1V16FAa<=V11V2Aa<=V1V11FIa=aV10V3V4Aa>=aV10V17V4Ia<=V17V2Aa<V8V17FAa<=aV10V18V4Ia<V18V9Aa<=V1V18FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V1V9Aa<=V8V2Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V6V2Aa<=V1V6Aa<=V7V2Aa<=V1V7Ia=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
apermut_subV0V0V1a+V2c1Ia<=V6V2Aa<=V1V6Aa<=V7V2Aa<=V1V7Ia=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=aV0V8V4Ia<V8V6Aa<=V1V8FIapermut_subV0V0V1a+V2c1Ia<=V6V2Aa<=V1V6Aa<=V7V2Aa<=V1V7Ia=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>=aV0V8V4Ia<=V8V2Aa<V7V8FIa<=aV0V9V4Ia<V9V6Aa<=V1V9FIapermut_subV0V0V1a+V2c1Ia<=V6V2Aa<=V1V6Aa<=V7V2Aa<=V1V7Ia=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a=aV0V3V4Ia>=aV0V8V4Ia<=V8V2Aa<V7V8FIa<=aV0V9V4Ia<V9V6Aa<=V1V9FIapermut_subV0V0V1a+V2c1Ia<=V6V2Aa<=V1V6Aa<=V7V2Aa<=V1V7Ia=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V11V4Ia<=V11V2Aa<V8V11FAa<=aV10V12V4Ia<V12V9Aa<=V1V12FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
assertion
a<=V3V2Aa<=V1V3Aa<V2alengthV10Aa<=V9V2Aa<=V1V9Aa<=c0V1Ia<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V11V4Ia<=V11V2Aa<V8V11FAa<=aV10V12V4Ia<V12V9Aa<=V1V12FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V12V2Aa<V8V12Aa<=V1V8Ia=V12a+V9c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V9V3Ia=alengthV11alengthV10FIa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V13V4Ia<=V13V2Aa<V8V13FAa<=aV10V14V4Ia<V14V9Aa<=V1V14FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
apermut_subV0V11V1a+V2c1Ia<=V12V2Aa<V8V12Aa<=V1V8Ia=V12a+V9c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V9V3Ia=alengthV11alengthV10FIa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V13V4Ia<=V13V2Aa<V8V13FAa<=aV10V14V4Ia<V14V9Aa<=V1V14FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=aV11V13V5Ia<=V13V8Aa<=V1V13FIapermut_subV0V11V1a+V2c1Ia<=V12V2Aa<V8V12Aa<=V1V8Ia=V12a+V9c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V9V3Ia=alengthV11alengthV10FIa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V14V4Ia<=V14V2Aa<V8V14FAa<=aV10V15V4Ia<V15V9Aa<=V1V15FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a=aV11V13V5Ia<V13V12Aa<V8V13FIa<=aV11V14V5Ia<=V14V8Aa<=V1V14FIapermut_subV0V11V1a+V2c1Ia<=V12V2Aa<V8V12Aa<=V1V8Ia=V12a+V9c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V9V3Ia=alengthV11alengthV10FIa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>=aV11V13V5Ia<=V13V2Aa<=V12V13FIa=aV11V14V5Ia<V14V12Aa<V8V14FIa<=aV11V15V5Ia<=V15V8Aa<=V1V15FIapermut_subV0V11V1a+V2c1Ia<=V12V2Aa<V8V12Aa<=V1V8Ia=V12a+V9c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V9V3Ia=alengthV11alengthV10FIa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V16V4Ia<=V16V2Aa<V8V16FAa<=aV10V17V4Ia<V17V9Aa<=V1V17FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V8V2Aa<=V1V8Aa<V2alengthV10Aa<=V3V2Aa<=V1V3Aa<=c0V1Ia<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V11V4Ia<=V11V2Aa<V8V11FAa<=aV10V12V4Ia<V12V9Aa<=V1V12FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V9V2Aa<V12V9Aa<=V1V12Ia=V12a-V8c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V3V8Ia=alengthV11alengthV10FIa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V13V4Ia<=V13V2Aa<V8V13FAa<=aV10V14V4Ia<V14V9Aa<=V1V14FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
apermut_subV0V11V1a+V2c1Ia<=V9V2Aa<V12V9Aa<=V1V12Ia=V12a-V8c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V3V8Ia=alengthV11alengthV10FIa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V13V4Ia<=V13V2Aa<V8V13FAa<=aV10V14V4Ia<V14V9Aa<=V1V14FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=aV11V13V5Ia<=V13V12Aa<=V1V13FIapermut_subV0V11V1a+V2c1Ia<=V9V2Aa<V12V9Aa<=V1V12Ia=V12a-V8c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V3V8Ia=alengthV11alengthV10FIa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V14V4Ia<=V14V2Aa<V8V14FAa<=aV10V15V4Ia<V15V9Aa<=V1V15FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a=aV11V13V5Ia<V13V9Aa<V12V13FIa<=aV11V14V5Ia<=V14V12Aa<=V1V14FIapermut_subV0V11V1a+V2c1Ia<=V9V2Aa<V12V9Aa<=V1V12Ia=V12a-V8c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V3V8Ia=alengthV11alengthV10FIa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V15V4Ia<=V15V2Aa<V8V15FAa<=aV10V16V4Ia<V16V9Aa<=V1V16FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>=aV11V13V5Ia<=V13V2Aa<=V9V13FIa=aV11V14V5Ia<V14V9Aa<V12V14FIa<=aV11V15V5Ia<=V15V12Aa<=V1V15FIapermut_subV0V11V1a+V2c1Ia<=V9V2Aa<V12V9Aa<=V1V12Ia=V12a-V8c1FIapermut_subV10V11V1a+V2c1AaexchangeV10V11V3V8Ia=alengthV11alengthV10FIa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V16V4Ia<=V16V2Aa<V8V16FAa<=aV10V17V4Ia<V17V9Aa<=V1V17FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=V9V2Aa<V8V9Aa<=V1V8INa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V11V4Ia<=V11V2Aa<V8V11FAa<=aV10V12V4Ia<V12V9Aa<=V1V12FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
apermut_subV0V10V1a+V2c1Ia<=V9V2Aa<V8V9Aa<=V1V8INa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V11V4Ia<=V11V2Aa<V8V11FAa<=aV10V12V4Ia<V12V9Aa<=V1V12FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a<=aV10V11V5Ia<=V11V8Aa<=V1V11FIapermut_subV0V10V1a+V2c1Ia<=V9V2Aa<V8V9Aa<=V1V8INa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V12V4Ia<=V12V2Aa<V8V12FAa<=aV10V13V4Ia<V13V9Aa<=V1V13FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a=aV10V11V5Ia<V11V9Aa<V8V11FIa<=aV10V12V5Ia<=V12V8Aa<=V1V12FIapermut_subV0V10V1a+V2c1Ia<=V9V2Aa<V8V9Aa<=V1V8INa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V13V4Ia<=V13V2Aa<V8V13FAa<=aV10V14V4Ia<V14V9Aa<=V1V14FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
a>=aV10V11V5Ia<=V11V2Aa<=V9V11FIa=aV10V12V5Ia<V12V9Aa<V8V12FIa<=aV10V13V5Ia<=V13V8Aa<=V1V13FIapermut_subV0V10V1a+V2c1Ia<=V9V2Aa<V8V9Aa<=V1V8INa<V3V8INa<V9V3Ia=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V14V4Ia<=V14V2Aa<V8V14FAa<=aV10V15V4Ia<V15V9Aa<=V1V15FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FIa=V7V2FIa=V6V1FIa=V5V4FLaV0V3Ia<=V3V2Aa<=V1V3FIa<V2alengthV0Aa<V1V2Aa<=c0V1F
iia>=aV10V11V5Ia<=V11V2Aa<=V9V11FAa=aV10V12V5Ia<V12V9Aa<V8V12FAa<=aV10V13V5Ia<=V13V8Aa<=V1V13FAapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<V8V9Aa<=V1V8a>=aV14V16V5Ia<=V16V2Aa<=V9V16FAa=aV14V17V5Ia<V17V9Aa<V15V17FAa<=aV14V18V5Ia<=V18V15Aa<=V1V18FAapermut_subV0V14V1a+V2c1Aa<=V9V2Aa<V15V9Aa<=V1V15Ia=V15a-V8c1FIapermut_subV10V14V1a+V2c1AaexchangeV10V14V3V8Ia=alengthV14alengthV10FAa<=V8V2Aa<=V1V8Aa<V2alengthV10Aa<=V3V2Aa<=V1V3Aa<=c0V1a<V3V8a>=aV19V21V5Ia<=V21V2Aa<=V20V21FAa=aV19V22V5Ia<V22V20Aa<V8V22FAa<=aV19V23V5Ia<=V23V8Aa<=V1V23FAapermut_subV0V19V1a+V2c1Aa<=V20V2Aa<V8V20Aa<=V1V8Ia=V20a+V9c1FIapermut_subV10V19V1a+V2c1AaexchangeV10V19V9V3Ia=alengthV19alengthV10FAa<=V3V2Aa<=V1V3Aa<V2alengthV10Aa<=V9V2Aa<=V1V9Aa<=c0V1a<V9V3Aa=V9V2Aa=V8V9Oa=V9V1Aa=V8V9Oa<V8V9Ia>=aV10V24V4Ia<=V24V2Aa<V8V24FAa<=aV10V25V4Ia<V25V9Aa<=V1V25FAa=aV10V3V4Aa<aV10V8V4Oa=V8V1Aa>aV10V9V4Oa=V9V2Aapermut_subV0V10V1a+V2c1Aa<=V9V2Aa<=V8V9Aa<=V1V8Ia=alengthV10alengthV0FAa=aV0V3V4Aa>=aV0V26V4Ia<=V26V2Aa<V7V26FAa<=aV0V27V4Ia<V27V6Aa<=V1V27FAapermut_subV0V0V1a+
VC for partition_
a>=aV6V8V7Ia<=V8V2Aa<=V5V8FAa=aV6V9V7Ia<V9V5Aa<V4V9FAa<=aV6V10V7Ia<=V10V4Aa<=V1V10FEAapermut_subV0V6V1a+V2c1Aa<=V5V2Aa<V4V5Aa<=V1V4Ia>=aV6V11V3Ia<=V11V2Aa<=V5V11FAa=aV6V12V3Ia<V12V5Aa<V4V12FAa<=aV6V13V3Ia<=V13V4Aa<=V1V13FAapermut_subV0V6V1a+V2c1Aa<=V5V2Aa<V4V5Aa<=V1V4Ia=alengthV6alengthV0FAa<V2alengthV0Aa<V1V2Aa<=c0V1Ia<V2alengthV0Aa<V1V2Aa<=c0V1F
VC for partition

c15efdd80e20752c6b34dcd4b2ab5132 1H0
643290fc4c0dafa9acc972fc03dc8c22 68H67
3d48a26d368917d6e1aa1106da5ca590 3H2
4394a919921416b4cc6677bd1d1a319c 5H4
488f1f12b19bbfd1074e012cf45f2cd2 5H6
2132b97fae2ad1a4906322d387d42f26 3H7
77d67a04739cba3e269f067643d3bad5 9H8
0d8520689fe5547742d84871553dd19b 11H10
9b466c36959840f7fb08d91c70f9a3b0 11H12
265585c5880b1b93ec9d643be04df8af 5H13
dbbb30a0432175307c3e7bfd5f325cf7 5H14
32f32e108d187ccbee6a148f1e203ed1 3H15
fcb11fe81e953f364ff36ad9ee1fc3f8 9H16
e7ba5dee709e2ba19ed94d32af922ed7 11H17
a087ceefd655de27a202a08ad8162a27 11H18
d113faaeb706298427d7219cc75b0f64 20H19
4a5478193fa8a88772da434df2827276 22H21
a416f13cdeac91b158e2f89f46ba296a 20H23
916deed31c4e1d228b7baefcb533620c 20H24
0abc4b5d9f0bbbd8538c656885f3e750 20H25
cd660db475d103644564fc271ba9abe2 20H26
6627944b3482efa89efd4a9ce6d1ad9a 20H27
66e4c765cf286c3180d241545d226438 29H28
348a473def6a9fc450f0855a0557b77e 29H30
844e68da6e99e41e84d4a03b3fa71871 29H31
166513eee22d6a5c0778dd2ec9308569 29H32
5e3d243dce777c7fe6910ce78a5629a8 29H33
e7f44aec74ee6e4392162f85a919a05b 29H34
4bbb4d1ed42fbd6077834e6923490ecd 29H35
160e29e24cc85b53bbf76f31fb861269 29H36
50f2ff8136d5c7b1e50189ce573e1a07 29H37
8c870d5dab372ff1d782a01b4f525102 29H38
4a78d377d302ca861eec5acf218b23fd 29H39
3f5a5cb0b964eed8fb4f43966378c40a 29H40
d81a2c43468f574f26924e55d44bfaa0 29H41
07182184621f3455ed808e4e19dc5183 29H42
2fc4965e683d3ce1086ebfdca342c559 20H43
a33761c647168ed377e4fc9c166d37dd 20H44
da475802d384cf9a0bb16db801e096a6 20H45
756c0f412f6cdb1648922fb98d1ed10b 20H46
dd5a7b602d2e643fdf810c20b0f5beca 20H47
3d71b1db1b0114d7136d0ef87c6c61d0 49H48
583ebc004297c0929865abbbb714c61c 20H50
b42c0eccd7ac1a03f2381596ca65e058 29H51
aa715b81ee48bc15d9970a8da63c40d6 29H52
279c5ca552f53921c67c5cc7e0e65ff8 29H53
47670ca1d20fb7c3fd5d339f2f94eef8 29H54
ddfd2829b23ca4222e32d174b1679729 29H55
436ba42aaf3bd308dd38d2f207547ca0 20H56
49fe3613fcc5af8f6097556f22980fab 29H57
05b68d79b790612712f8d74a80746b2e 29H58
ebe85e9f4bff20f3a66bfeca4bde3bc5 29H59
b0d6ca36d1bbeedd1c50663497dd3ab1 29H60
ca8f56a30f2845779768d96482c637a3 29H61
178e8ca3162f3b2366c713da9acd4c8a 29H62
c3e73affbc09a64815c81921ac174546 29H63
2dfe6c447d675a0b2787d89213a1ef5f 29H64
0e959f36d2f7324742e52d4c0da062b5 29H65
4572a0693813e54114cd0f82753f603c 29H66
0eef7619f9ef080493117286fda64b3f 70H69
