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| for a in range(1,333): | |
| blimit=int((1000-a)/2) | |
| for b in range(a,blimit): | |
| c=1000-a-b | |
| if a*b+1000*c==500000: | |
| print(a*b*c) | |
| break |
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aa+bb=cc
a+b+c=1000
aa+bb+cc+2ab+2ac+2bc=1000000
2cc+2ab+2ac+2bc=1000000
cc+ab+ac+bc=500000
ab+1000c=500000
ab+1000(1000-a-b)=500000
ab+1000000-1000a-1000b=500000
1000a+1000b=ab+500000
ab=1000a+1000b-500000
ab=1000(500-c)