input stringlengths 6 12 | target stringlengths 117 294 |
|---|---|
489+7913 = | < scratch >
[4, 8, 9] has 3 digits.
[7, 9, 1, 3] has 4 digits.
[9] + [3] , C = 1, 9 + 3 + 1 = 12, A ->2, C -> 1
[8] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, C -> 1
[4] + [9] , C = 1, 4 + 9 + 1 = 14, A ->4, C -> 1
[0] + [7] , C = 0, 0 + 7 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 4 0 2. |
95+3516 = | < scratch >
[9, 5] has 2 digits.
[3, 5, 1, 6] has 4 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[9] + [1] , C = 1, 9 + 1 + 1 = 11, A ->1, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
[0] + [3] , C = 0, 0 + 3 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 6 1 1. |
252+9825 = | < scratch >
[2, 5, 2] has 3 digits.
[9, 8, 2, 5] has 4 digits.
[2] + [5] , C = 0, 2 + 5 + 0 = 7, A ->7, C -> 0
[5] + [2] , C = 0, 5 + 2 + 0 = 7, A ->7, C -> 0
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 7 7. |
6582+536 = | < scratch >
[6, 5, 8, 2] has 4 digits.
[5, 3, 6] has 3 digits.
[2] + [6] , C = 0, 2 + 6 + 0 = 8, A ->8, C -> 0
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[5] + [5] , C = 1, 5 + 5 + 1 = 11, A ->1, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 1 1 8. |
4523+1737 = | < scratch >
[4, 5, 2, 3] has 4 digits.
[1, 7, 3, 7] has 4 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[2] + [3] , C = 0, 2 + 3 + 0 = 6, A ->6, C -> 0
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[4] + [1] , C = 0, 4 + 1 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 2 6 0. |
4096+7798 = | < scratch >
[4, 0, 9, 6] has 4 digits.
[7, 7, 9, 8] has 4 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[9] + [9] , C = 1, 9 + 9 + 1 = 19, A ->9, C -> 1
[0] + [7] , C = 0, 0 + 7 + 0 = 8, A ->8, C -> 0
[4] + [7] , C = 1, 4 + 7 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 8 9 4. |
1490+534 = | < scratch >
[1, 4, 9, 0] has 4 digits.
[5, 3, 4] has 3 digits.
[0] + [4] , C = 0, 0 + 4 + 0 = 4, A ->4, C -> 0
[9] + [3] , C = 1, 9 + 3 + 1 = 12, A ->2, C -> 1
[4] + [5] , C = 1, 4 + 5 + 1 = 10, A ->0, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 0 2 4. |
5+5998 = | < scratch >
[5] has 1 digits.
[5, 9, 9, 8] has 4 digits.
[5] + [8] , C = 1, 5 + 8 + 1 = 13, A ->3, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 0 3. |
589+5863 = | < scratch >
[5, 8, 9] has 3 digits.
[5, 8, 6, 3] has 4 digits.
[9] + [3] , C = 1, 9 + 3 + 1 = 12, A ->2, C -> 1
[8] + [6] , C = 1, 8 + 6 + 1 = 15, A ->5, C -> 1
[5] + [8] , C = 1, 5 + 8 + 1 = 14, A ->4, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 4 5 2. |
691+2464 = | < scratch >
[6, 9, 1] has 3 digits.
[2, 4, 6, 4] has 4 digits.
[1] + [4] , C = 0, 1 + 4 + 0 = 5, A ->5, C -> 0
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[6] + [4] , C = 1, 6 + 4 + 1 = 11, A ->1, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 1 5 5. |
84+518 = | < scratch >
[8, 4] has 2 digits.
[5, 1, 8] has 3 digits.
[4] + [8] , C = 1, 4 + 8 + 1 = 12, A ->2, C -> 1
[8] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 2. |
95+526 = | < scratch >
[9, 5] has 2 digits.
[5, 2, 6] has 3 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[9] + [2] , C = 1, 9 + 2 + 1 = 12, A ->2, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 2 1. |
2774+2889 = | < scratch >
[2, 7, 7, 4] has 4 digits.
[2, 8, 8, 9] has 4 digits.
[4] + [9] , C = 1, 4 + 9 + 1 = 13, A ->3, C -> 1
[7] + [8] , C = 1, 7 + 8 + 1 = 16, A ->6, C -> 1
[7] + [8] , C = 1, 7 + 8 + 1 = 16, A ->6, C -> 1
[2] + [2] , C = 0, 2 + 2 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 6 6 3. |
550+4499 = | < scratch >
[5, 5, 0] has 3 digits.
[4, 4, 9, 9] has 4 digits.
[0] + [9] , C = 0, 0 + 9 + 0 = 9, A ->9, C -> 0
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[5] + [4] , C = 1, 5 + 4 + 1 = 10, A ->0, C -> 1
[0] + [4] , C = 0, 0 + 4 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 0 4 9. |
1346+738 = | < scratch >
[1, 3, 4, 6] has 4 digits.
[7, 3, 8] has 3 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[4] + [3] , C = 0, 4 + 3 + 0 = 8, A ->8, C -> 0
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 0 8 4. |
459+95 = | < scratch >
[4, 5, 9] has 3 digits.
[9, 5] has 2 digits.
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 5 4. |
955+4675 = | < scratch >
[9, 5, 5] has 3 digits.
[4, 6, 7, 5] has 4 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[5] + [7] , C = 1, 5 + 7 + 1 = 13, A ->3, C -> 1
[9] + [6] , C = 1, 9 + 6 + 1 = 16, A ->6, C -> 1
[0] + [4] , C = 0, 0 + 4 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 6 3 0. |
4898+1967 = | < scratch >
[4, 8, 9, 8] has 4 digits.
[1, 9, 6, 7] has 4 digits.
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[9] + [6] , C = 1, 9 + 6 + 1 = 16, A ->6, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
[4] + [1] , C = 0, 4 + 1 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 8 6 5. |
2172+9781 = | < scratch >
[2, 1, 7, 2] has 4 digits.
[9, 7, 8, 1] has 4 digits.
[2] + [1] , C = 0, 2 + 1 + 0 = 3, A ->3, C -> 0
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[1] + [7] , C = 0, 1 + 7 + 0 = 9, A ->9, C -> 0
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 9 5 3. |
555+6974 = | < scratch >
[5, 5, 5] has 3 digits.
[6, 9, 7, 4] has 4 digits.
[5] + [4] , C = 0, 5 + 4 + 0 = 9, A ->9, C -> 0
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 5 2 9. |
7932+5247 = | < scratch >
[7, 9, 3, 2] has 4 digits.
[5, 2, 4, 7] has 4 digits.
[2] + [7] , C = 0, 2 + 7 + 0 = 9, A ->9, C -> 0
[3] + [4] , C = 0, 3 + 4 + 0 = 7, A ->7, C -> 0
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 1 7 9. |
451+783 = | < scratch >
[4, 5, 1] has 3 digits.
[7, 8, 3] has 3 digits.
[1] + [3] , C = 0, 1 + 3 + 0 = 4, A ->4, C -> 0
[5] + [8] , C = 1, 5 + 8 + 1 = 13, A ->3, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 3 4. |
684+829 = | < scratch >
[6, 8, 4] has 3 digits.
[8, 2, 9] has 3 digits.
[4] + [9] , C = 1, 4 + 9 + 1 = 13, A ->3, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 1 3. |
1528+84 = | < scratch >
[1, 5, 2, 8] has 4 digits.
[8, 4] has 2 digits.
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[2] + [8] , C = 1, 2 + 8 + 1 = 11, A ->1, C -> 1
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
[1] + [0] , C = 0, 1 + 0 + 0 = 1, A ->1, C -> 0
</ scratch >
sum:1 6 1 2. |
47+354 = | < scratch >
[4, 7] has 2 digits.
[3, 5, 4] has 3 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[4] + [5] , C = 1, 4 + 5 + 1 = 10, A ->0, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 0 1. |
98+7 = | < scratch >
[9, 8] has 2 digits.
[7] has 1 digits.
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 5. |
137+89 = | < scratch >
[1, 3, 7] has 3 digits.
[8, 9] has 2 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[3] + [8] , C = 1, 3 + 8 + 1 = 12, A ->2, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 2 6. |
661+796 = | < scratch >
[6, 6, 1] has 3 digits.
[7, 9, 6] has 3 digits.
[1] + [6] , C = 0, 1 + 6 + 0 = 7, A ->7, C -> 0
[6] + [9] , C = 1, 6 + 9 + 1 = 15, A ->5, C -> 1
[6] + [7] , C = 1, 6 + 7 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 5 7. |
39+994 = | < scratch >
[3, 9] has 2 digits.
[9, 9, 4] has 3 digits.
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 3 3. |
33+87 = | < scratch >
[3, 3] has 2 digits.
[8, 7] has 2 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[3] + [8] , C = 1, 3 + 8 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 0. |
4967+279 = | < scratch >
[4, 9, 6, 7] has 4 digits.
[2, 7, 9] has 3 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[6] + [7] , C = 1, 6 + 7 + 1 = 14, A ->4, C -> 1
[9] + [2] , C = 1, 9 + 2 + 1 = 12, A ->2, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 2 4 6. |
331+3794 = | < scratch >
[3, 3, 1] has 3 digits.
[3, 7, 9, 4] has 4 digits.
[1] + [4] , C = 0, 1 + 4 + 0 = 5, A ->5, C -> 0
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[3] + [7] , C = 1, 3 + 7 + 1 = 11, A ->1, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 1 2 5. |
297+567 = | < scratch >
[2, 9, 7] has 3 digits.
[5, 6, 7] has 3 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[9] + [6] , C = 1, 9 + 6 + 1 = 16, A ->6, C -> 1
[2] + [5] , C = 0, 2 + 5 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 6 4. |
2953+69 = | < scratch >
[2, 9, 5, 3] has 4 digits.
[6, 9] has 2 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 0 2 2. |
137+74 = | < scratch >
[1, 3, 7] has 3 digits.
[7, 4] has 2 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[3] + [7] , C = 1, 3 + 7 + 1 = 11, A ->1, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 1 1. |
270+794 = | < scratch >
[2, 7, 0] has 3 digits.
[7, 9, 4] has 3 digits.
[0] + [4] , C = 0, 0 + 4 + 0 = 4, A ->4, C -> 0
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 6 4. |
5+199 = | < scratch >
[5] has 1 digits.
[1, 9, 9] has 3 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 0 4. |
8783+29 = | < scratch >
[8, 7, 8, 3] has 4 digits.
[2, 9] has 2 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
[8] + [0] , C = 0, 8 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 8 1 2. |
8960+65 = | < scratch >
[8, 9, 6, 0] has 4 digits.
[6, 5] has 2 digits.
[0] + [5] , C = 0, 0 + 5 + 0 = 5, A ->5, C -> 0
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 0 2 5. |
89+866 = | < scratch >
[8, 9] has 2 digits.
[8, 6, 6] has 3 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[8] + [6] , C = 1, 8 + 6 + 1 = 15, A ->5, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 5 5. |
3198+9 = | < scratch >
[3, 1, 9, 8] has 4 digits.
[9] has 1 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
[3] + [0] , C = 0, 3 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 2 0 7. |
3495+718 = | < scratch >
[3, 4, 9, 5] has 4 digits.
[7, 1, 8] has 3 digits.
[5] + [8] , C = 1, 5 + 8 + 1 = 13, A ->3, C -> 1
[9] + [1] , C = 1, 9 + 1 + 1 = 11, A ->1, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 2 1 3. |
85+356 = | < scratch >
[8, 5] has 2 digits.
[3, 5, 6] has 3 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[8] + [5] , C = 1, 8 + 5 + 1 = 14, A ->4, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 4 1. |
715+5808 = | < scratch >
[7, 1, 5] has 3 digits.
[5, 8, 0, 8] has 4 digits.
[5] + [8] , C = 1, 5 + 8 + 1 = 13, A ->3, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 5 2 3. |
6935+95 = | < scratch >
[6, 9, 3, 5] has 4 digits.
[9, 5] has 2 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 0 3 0. |
6+597 = | < scratch >
[6] has 1 digits.
[5, 9, 7] has 3 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 3. |
3189+344 = | < scratch >
[3, 1, 8, 9] has 4 digits.
[3, 4, 4] has 3 digits.
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
[1] + [3] , C = 0, 1 + 3 + 0 = 5, A ->5, C -> 0
[3] + [0] , C = 0, 3 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 5 3 3. |
77+5846 = | < scratch >
[7, 7] has 2 digits.
[5, 8, 4, 6] has 4 digits.
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[7] + [4] , C = 1, 7 + 4 + 1 = 12, A ->2, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
[0] + [5] , C = 0, 0 + 5 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 9 2 3. |
6723+927 = | < scratch >
[6, 7, 2, 3] has 4 digits.
[9, 2, 7] has 3 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[2] + [2] , C = 0, 2 + 2 + 0 = 5, A ->5, C -> 0
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 6 5 0. |
1837+1828 = | < scratch >
[1, 8, 3, 7] has 4 digits.
[1, 8, 2, 8] has 4 digits.
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[3] + [2] , C = 0, 3 + 2 + 0 = 6, A ->6, C -> 0
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[1] + [1] , C = 0, 1 + 1 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 6 6 5. |
97+204 = | < scratch >
[9, 7] has 2 digits.
[2, 0, 4] has 3 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 0 1. |
185+99 = | < scratch >
[1, 8, 5] has 3 digits.
[9, 9] has 2 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 8 4. |
96+7937 = | < scratch >
[9, 6] has 2 digits.
[7, 9, 3, 7] has 4 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[9] + [3] , C = 1, 9 + 3 + 1 = 13, A ->3, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[0] + [7] , C = 0, 0 + 7 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 0 3 3. |
7960+9813 = | < scratch >
[7, 9, 6, 0] has 4 digits.
[9, 8, 1, 3] has 4 digits.
[0] + [3] , C = 0, 0 + 3 + 0 = 3, A ->3, C -> 0
[6] + [1] , C = 0, 6 + 1 + 0 = 7, A ->7, C -> 0
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[7] + [9] , C = 1, 7 + 9 + 1 = 17, A ->7, C -> 1
</ scratch >
sum:1 7 7 7 3. |
990+11 = | < scratch >
[9, 9, 0] has 3 digits.
[1, 1] has 2 digits.
[0] + [1] , C = 0, 0 + 1 + 0 = 1, A ->1, C -> 0
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 1. |
661+189 = | < scratch >
[6, 6, 1] has 3 digits.
[1, 8, 9] has 3 digits.
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
[6] + [1] , C = 0, 6 + 1 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 5 0. |
2416+790 = | < scratch >
[2, 4, 1, 6] has 4 digits.
[7, 9, 0] has 3 digits.
[6] + [0] , C = 0, 6 + 0 + 0 = 6, A ->6, C -> 0
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 2 0 6. |
8076+837 = | < scratch >
[8, 0, 7, 6] has 4 digits.
[8, 3, 7] has 3 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[7] + [3] , C = 1, 7 + 3 + 1 = 11, A ->1, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
[8] + [0] , C = 0, 8 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 9 1 3. |
68+664 = | < scratch >
[6, 8] has 2 digits.
[6, 6, 4] has 3 digits.
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 3 2. |
7458+1094 = | < scratch >
[7, 4, 5, 8] has 4 digits.
[1, 0, 9, 4] has 4 digits.
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
[7] + [1] , C = 0, 7 + 1 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 5 5 2. |
949+861 = | < scratch >
[9, 4, 9] has 3 digits.
[8, 6, 1] has 3 digits.
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
</ scratch >
sum:1 8 1 0. |
275+1759 = | < scratch >
[2, 7, 5] has 3 digits.
[1, 7, 5, 9] has 4 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 0 3 4. |
897+83 = | < scratch >
[8, 9, 7] has 3 digits.
[8, 3] has 2 digits.
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 8 0. |
639+87 = | < scratch >
[6, 3, 9] has 3 digits.
[8, 7] has 2 digits.
[9] + [7] , C = 1, 9 + 7 + 1 = 16, A ->6, C -> 1
[3] + [8] , C = 1, 3 + 8 + 1 = 12, A ->2, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 2 6. |
8+98 = | < scratch >
[8] has 1 digits.
[9, 8] has 2 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 6. |
69+93 = | < scratch >
[6, 9] has 2 digits.
[9, 3] has 2 digits.
[9] + [3] , C = 1, 9 + 3 + 1 = 12, A ->2, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 2. |
2924+596 = | < scratch >
[2, 9, 2, 4] has 4 digits.
[5, 9, 6] has 3 digits.
[4] + [6] , C = 1, 4 + 6 + 1 = 10, A ->0, C -> 1
[2] + [9] , C = 1, 2 + 9 + 1 = 12, A ->2, C -> 1
[9] + [5] , C = 1, 9 + 5 + 1 = 15, A ->5, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 5 2 0. |
5435+5086 = | < scratch >
[5, 4, 3, 5] has 4 digits.
[5, 0, 8, 6] has 4 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[3] + [8] , C = 1, 3 + 8 + 1 = 12, A ->2, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 5 2 1. |
2940+7547 = | < scratch >
[2, 9, 4, 0] has 4 digits.
[7, 5, 4, 7] has 4 digits.
[0] + [7] , C = 0, 0 + 7 + 0 = 7, A ->7, C -> 0
[4] + [4] , C = 0, 4 + 4 + 0 = 8, A ->8, C -> 0
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 4 8 7. |
83+4477 = | < scratch >
[8, 3] has 2 digits.
[4, 4, 7, 7] has 4 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[8] + [7] , C = 1, 8 + 7 + 1 = 16, A ->6, C -> 1
[0] + [4] , C = 0, 0 + 4 + 0 = 5, A ->5, C -> 0
[0] + [4] , C = 0, 0 + 4 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 5 6 0. |
297+38 = | < scratch >
[2, 9, 7] has 3 digits.
[3, 8] has 2 digits.
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[9] + [3] , C = 1, 9 + 3 + 1 = 13, A ->3, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 3 5. |
299+486 = | < scratch >
[2, 9, 9] has 3 digits.
[4, 8, 6] has 3 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
[2] + [4] , C = 0, 2 + 4 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 8 5. |
48+63 = | < scratch >
[4, 8] has 2 digits.
[6, 3] has 2 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 1. |
89+83 = | < scratch >
[8, 9] has 2 digits.
[8, 3] has 2 digits.
[9] + [3] , C = 1, 9 + 3 + 1 = 12, A ->2, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
</ scratch >
sum:1 7 2. |
99+71 = | < scratch >
[9, 9] has 2 digits.
[7, 1] has 2 digits.
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[9] + [7] , C = 1, 9 + 7 + 1 = 17, A ->7, C -> 1
</ scratch >
sum:1 7 0. |
877+5357 = | < scratch >
[8, 7, 7] has 3 digits.
[5, 3, 5, 7] has 4 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
[8] + [3] , C = 1, 8 + 3 + 1 = 12, A ->2, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 2 3 4. |
765+551 = | < scratch >
[7, 6, 5] has 3 digits.
[5, 5, 1] has 3 digits.
[5] + [1] , C = 0, 5 + 1 + 0 = 6, A ->6, C -> 0
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 1 6. |
919+788 = | < scratch >
[9, 1, 9] has 3 digits.
[7, 8, 8] has 3 digits.
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[9] + [7] , C = 1, 9 + 7 + 1 = 17, A ->7, C -> 1
</ scratch >
sum:1 7 0 7. |
66+6056 = | < scratch >
[6, 6] has 2 digits.
[6, 0, 5, 6] has 4 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[6] + [5] , C = 1, 6 + 5 + 1 = 12, A ->2, C -> 1
[0] + [0] , C = 0, 0 + 0 + 0 = 1, A ->1, C -> 0
[0] + [6] , C = 0, 0 + 6 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 1 2 2. |
187+999 = | < scratch >
[1, 8, 7] has 3 digits.
[9, 9, 9] has 3 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 8 6. |
89+14 = | < scratch >
[8, 9] has 2 digits.
[1, 4] has 2 digits.
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[8] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 3. |
819+2835 = | < scratch >
[8, 1, 9] has 3 digits.
[2, 8, 3, 5] has 4 digits.
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[1] + [3] , C = 0, 1 + 3 + 0 = 5, A ->5, C -> 0
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 6 5 4. |
368+65 = | < scratch >
[3, 6, 8] has 3 digits.
[6, 5] has 2 digits.
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 3 3. |
9958+598 = | < scratch >
[9, 9, 5, 8] has 4 digits.
[5, 9, 8] has 3 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
[9] + [5] , C = 1, 9 + 5 + 1 = 15, A ->5, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 5 5 6. |
881+566 = | < scratch >
[8, 8, 1] has 3 digits.
[5, 6, 6] has 3 digits.
[1] + [6] , C = 0, 1 + 6 + 0 = 7, A ->7, C -> 0
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[8] + [5] , C = 1, 8 + 5 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 4 7. |
6759+9434 = | < scratch >
[6, 7, 5, 9] has 4 digits.
[9, 4, 3, 4] has 4 digits.
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[5] + [3] , C = 0, 5 + 3 + 0 = 9, A ->9, C -> 0
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 1 9 3. |
143+967 = | < scratch >
[1, 4, 3] has 3 digits.
[9, 6, 7] has 3 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 1 0. |
179+26 = | < scratch >
[1, 7, 9] has 3 digits.
[2, 6] has 2 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[7] + [2] , C = 1, 7 + 2 + 1 = 10, A ->0, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 0 5. |
268+2265 = | < scratch >
[2, 6, 8] has 3 digits.
[2, 2, 6, 5] has 4 digits.
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[2] + [2] , C = 0, 2 + 2 + 0 = 5, A ->5, C -> 0
[0] + [2] , C = 0, 0 + 2 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 5 3 3. |
3947+89 = | < scratch >
[3, 9, 4, 7] has 4 digits.
[8, 9] has 2 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[4] + [8] , C = 1, 4 + 8 + 1 = 13, A ->3, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 0 3 6. |
367+7143 = | < scratch >
[3, 6, 7] has 3 digits.
[7, 1, 4, 3] has 4 digits.
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[6] + [4] , C = 1, 6 + 4 + 1 = 11, A ->1, C -> 1
[3] + [1] , C = 0, 3 + 1 + 0 = 5, A ->5, C -> 0
[0] + [7] , C = 0, 0 + 7 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 5 1 0. |
82+629 = | < scratch >
[8, 2] has 2 digits.
[6, 2, 9] has 3 digits.
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 1 1. |
66+665 = | < scratch >
[6, 6] has 2 digits.
[6, 6, 5] has 3 digits.
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 3 1. |
1+99 = | < scratch >
[1] has 1 digits.
[9, 9] has 2 digits.
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0. |
48+69 = | < scratch >
[4, 8] has 2 digits.
[6, 9] has 2 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 7. |
64+866 = | < scratch >
[6, 4] has 2 digits.
[8, 6, 6] has 3 digits.
[4] + [6] , C = 1, 4 + 6 + 1 = 10, A ->0, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 3 0. |
228+867 = | < scratch >
[2, 2, 8] has 3 digits.
[8, 6, 7] has 3 digits.
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[2] + [6] , C = 0, 2 + 6 + 0 = 9, A ->9, C -> 0
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 9 5. |
3028+8177 = | < scratch >
[3, 0, 2, 8] has 4 digits.
[8, 1, 7, 7] has 4 digits.
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 2 0 5. |
1888+9403 = | < scratch >
[1, 8, 8, 8] has 4 digits.
[9, 4, 0, 3] has 4 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 2 9 1. |
26+1178 = | < scratch >
[2, 6] has 2 digits.
[1, 1, 7, 8] has 4 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
[0] + [1] , C = 0, 0 + 1 + 0 = 1, A ->1, C -> 0
</ scratch >
sum:1 2 0 4. |
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