Created
January 10, 2015 16:10
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4*MATH=HTAM
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# N*[MATH]=[HTAM] | |
# MATH -> ABCD | |
# N(1000A+100B+10C+D)=1000D+100C+10B+A | |
# (1000N-1)A+10(10N-1)B=10(10-N)C+(1000-N)D | |
count = [0] * 9 | |
for N in range(1, 10): | |
for A in range(10): | |
for B in range(10): | |
for C in range(10): | |
for D in range(10): | |
if (1000*N-1)*A + 10*(10*N-1)*B == 10*(10-N)*C + (1000-N)*D: | |
print("%d*%d%d%d%d=%d%d%d%d" % (N, A, B, C, D, D, C, B, A)) | |
count[N-1] += 1 | |
print(count) | |
print("done") |
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1*0000=0000 | |
1*0110=0110 | |
1*0220=0220 | |
1*0330=0330 | |
1*0440=0440 | |
1*0550=0550 | |
1*0660=0660 | |
1*0770=0770 | |
1*0880=0880 | |
1*0990=0990 | |
1*1001=1001 | |
1*1111=1111 | |
1*1221=1221 | |
1*1331=1331 | |
1*1441=1441 | |
1*1551=1551 | |
1*1661=1661 | |
1*1771=1771 | |
1*1881=1881 | |
1*1991=1991 | |
1*2002=2002 | |
1*2112=2112 | |
1*2222=2222 | |
1*2332=2332 | |
1*2442=2442 | |
1*2552=2552 | |
1*2662=2662 | |
1*2772=2772 | |
1*2882=2882 | |
1*2992=2992 | |
1*3003=3003 | |
1*3113=3113 | |
1*3223=3223 | |
1*3333=3333 | |
1*3443=3443 | |
1*3553=3553 | |
1*3663=3663 | |
1*3773=3773 | |
1*3883=3883 | |
1*3993=3993 | |
1*4004=4004 | |
1*4114=4114 | |
1*4224=4224 | |
1*4334=4334 | |
1*4444=4444 | |
1*4554=4554 | |
1*4664=4664 | |
1*4774=4774 | |
1*4884=4884 | |
1*4994=4994 | |
1*5005=5005 | |
1*5115=5115 | |
1*5225=5225 | |
1*5335=5335 | |
1*5445=5445 | |
1*5555=5555 | |
1*5665=5665 | |
1*5775=5775 | |
1*5885=5885 | |
1*5995=5995 | |
1*6006=6006 | |
1*6116=6116 | |
1*6226=6226 | |
1*6336=6336 | |
1*6446=6446 | |
1*6556=6556 | |
1*6666=6666 | |
1*6776=6776 | |
1*6886=6886 | |
1*6996=6996 | |
1*7007=7007 | |
1*7117=7117 | |
1*7227=7227 | |
1*7337=7337 | |
1*7447=7447 | |
1*7557=7557 | |
1*7667=7667 | |
1*7777=7777 | |
1*7887=7887 | |
1*7997=7997 | |
1*8008=8008 | |
1*8118=8118 | |
1*8228=8228 | |
1*8338=8338 | |
1*8448=8448 | |
1*8558=8558 | |
1*8668=8668 | |
1*8778=8778 | |
1*8888=8888 | |
1*8998=8998 | |
1*9009=9009 | |
1*9119=9119 | |
1*9229=9229 | |
1*9339=9339 | |
1*9449=9449 | |
1*9559=9559 | |
1*9669=9669 | |
1*9779=9779 | |
1*9889=9889 | |
1*9999=9999 | |
2*0000=0000 | |
3*0000=0000 | |
4*0000=0000 | |
4*2178=8712 | |
5*0000=0000 | |
6*0000=0000 | |
7*0000=0000 | |
8*0000=0000 | |
9*0000=0000 | |
9*1089=9801 | |
[100, 1, 1, 2, 1, 1, 1, 1, 2] | |
done |
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