If each letter stands for different number.Can you work out

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If each letter stands for different number.Can you work out the maths probiem?
P O T A T O
+T O M A T O
S A L A D S

根据第二列和第六列,可以看出A为一个奇数
再看第四列,可以推出A+A+1=10+A,A=9
所以S=8,O=4
现在是
P 4 T 9 T 4
+T 4 M 9 T 4
8 9 L 9 D 8
注意到T+T>9,并且T不可以取8,9
所以T为5或6或7
T=7时,D=4,有重复的,不可以
T=6时,D=2,P=2,有重复的,不可以
T=5,D=0,P=3
现在是
3 4 5 9 5 4
+5 4 M 9 5 4
8 9 L 9 0 8
此时,M=2,L=7或者M=1,L=6
也就是345954+542954=897908或者345954+541954=896908

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