input stringlengths 6 12 | target stringlengths 117 294 |
|---|---|
217+399 = | < scratch >
[2, 1, 7] has 3 digits.
[3, 9, 9] has 3 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, C -> 1
[2] + [3] , C = 0, 2 + 3 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 1 6. |
572+5955 = | < scratch >
[5, 7, 2] has 3 digits.
[5, 9, 5, 5] has 4 digits.
[2] + [5] , C = 0, 2 + 5 + 0 = 7, A ->7, C -> 0
[7] + [5] , C = 1, 7 + 5 + 1 = 12, A ->2, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 5 2 7. |
6456+4346 = | < scratch >
[6, 4, 5, 6] has 4 digits.
[4, 3, 4, 6] has 4 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[5] + [4] , C = 1, 5 + 4 + 1 = 10, A ->0, C -> 1
[4] + [3] , C = 0, 4 + 3 + 0 = 8, A ->8, C -> 0
[6] + [4] , C = 1, 6 + 4 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 8 0 2. |
4959+4535 = | < scratch >
[4, 9, 5, 9] has 4 digits.
[4, 5, 3, 5] has 4 digits.
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[5] + [3] , C = 0, 5 + 3 + 0 = 9, A ->9, C -> 0
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[4] + [4] , C = 0, 4 + 4 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 4 9 4. |
891+458 = | < scratch >
[8, 9, 1] has 3 digits.
[4, 5, 8] has 3 digits.
[1] + [8] , C = 0, 1 + 8 + 0 = 9, A ->9, C -> 0
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 4 9. |
79+66 = | < scratch >
[7, 9] has 2 digits.
[6, 6] has 2 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[7] + [6] , C = 1, 7 + 6 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 5. |
3965+62 = | < scratch >
[3, 9, 6, 5] has 4 digits.
[6, 2] has 2 digits.
[5] + [2] , C = 0, 5 + 2 + 0 = 7, A ->7, 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
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 0 2 7. |
7895+7 = | < scratch >
[7, 8, 9, 5] has 4 digits.
[7] has 1 digits.
[5] + [7] , C = 1, 5 + 7 + 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
[7] + [0] , C = 0, 7 + 0 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 9 0 2. |
6118+9105 = | < scratch >
[6, 1, 1, 8] has 4 digits.
[9, 1, 0, 5] has 4 digits.
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
[1] + [1] , C = 0, 1 + 1 + 0 = 2, A ->2, C -> 0
[6] + [9] , C = 1, 6 + 9 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 2 2 3. |
3932+5068 = | < scratch >
[3, 9, 3, 2] has 4 digits.
[5, 0, 6, 8] has 4 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[3] + [6] , C = 1, 3 + 6 + 1 = 10, A ->0, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[3] + [5] , C = 0, 3 + 5 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 0 0 0. |
689+143 = | < scratch >
[6, 8, 9] has 3 digits.
[1, 4, 3] has 3 digits.
[9] + [3] , C = 1, 9 + 3 + 1 = 12, A ->2, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
[6] + [1] , C = 0, 6 + 1 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 3 2. |
719+592 = | < scratch >
[7, 1, 9] has 3 digits.
[5, 9, 2] has 3 digits.
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 1 1. |
4703+6592 = | < scratch >
[4, 7, 0, 3] has 4 digits.
[6, 5, 9, 2] has 4 digits.
[3] + [2] , C = 0, 3 + 2 + 0 = 5, A ->5, C -> 0
[0] + [9] , C = 0, 0 + 9 + 0 = 9, A ->9, C -> 0
[7] + [5] , C = 1, 7 + 5 + 1 = 12, A ->2, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 2 9 5. |
8605+2701 = | < scratch >
[8, 6, 0, 5] has 4 digits.
[2, 7, 0, 1] has 4 digits.
[5] + [1] , C = 0, 5 + 1 + 0 = 6, A ->6, C -> 0
[0] + [0] , C = 0, 0 + 0 + 0 = 0, A ->0, C -> 0
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 3 0 6. |
76+6799 = | < scratch >
[7, 6] has 2 digits.
[6, 7, 9, 9] has 4 digits.
[6] + [9] , C = 1, 6 + 9 + 1 = 15, A ->5, C -> 1
[7] + [9] , C = 1, 7 + 9 + 1 = 17, A ->7, C -> 1
[0] + [7] , C = 0, 0 + 7 + 0 = 8, A ->8, C -> 0
[0] + [6] , C = 0, 0 + 6 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 8 7 5. |
4628+89 = | < scratch >
[4, 6, 2, 8] has 4 digits.
[8, 9] has 2 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[2] + [8] , C = 1, 2 + 8 + 1 = 11, A ->1, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
[4] + [0] , C = 0, 4 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 7 1 7. |
196+47 = | < scratch >
[1, 9, 6] has 3 digits.
[4, 7] has 2 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[9] + [4] , C = 1, 9 + 4 + 1 = 14, A ->4, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 4 3. |
968+6262 = | < scratch >
[9, 6, 8] has 3 digits.
[6, 2, 6, 2] has 4 digits.
[8] + [2] , C = 1, 8 + 2 + 1 = 10, A ->0, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[9] + [2] , C = 1, 9 + 2 + 1 = 12, A ->2, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 2 3 0. |
69+91 = | < scratch >
[6, 9] has 2 digits.
[9, 1] has 2 digits.
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 0. |
38+189 = | < scratch >
[3, 8] has 2 digits.
[1, 8, 9] has 3 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[3] + [8] , C = 1, 3 + 8 + 1 = 12, A ->2, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 2 7. |
467+868 = | < scratch >
[4, 6, 7] has 3 digits.
[8, 6, 8] has 3 digits.
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[4] + [8] , C = 1, 4 + 8 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 3 5. |
73+78 = | < scratch >
[7, 3] has 2 digits.
[7, 8] has 2 digits.
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 1. |
55+669 = | < scratch >
[5, 5] has 2 digits.
[6, 6, 9] has 3 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 2 4. |
747+886 = | < scratch >
[7, 4, 7] has 3 digits.
[8, 8, 6] has 3 digits.
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[4] + [8] , C = 1, 4 + 8 + 1 = 13, A ->3, C -> 1
[7] + [8] , C = 1, 7 + 8 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 3 3. |
6892+1578 = | < scratch >
[6, 8, 9, 2] has 4 digits.
[1, 5, 7, 8] has 4 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[9] + [7] , C = 1, 9 + 7 + 1 = 17, A ->7, C -> 1
[8] + [5] , C = 1, 8 + 5 + 1 = 14, A ->4, C -> 1
[6] + [1] , C = 0, 6 + 1 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 4 7 0. |
9951+643 = | < scratch >
[9, 9, 5, 1] has 4 digits.
[6, 4, 3] has 3 digits.
[1] + [3] , C = 0, 1 + 3 + 0 = 4, A ->4, C -> 0
[5] + [4] , C = 0, 5 + 4 + 0 = 9, A ->9, C -> 0
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 5 9 4. |
8894+374 = | < scratch >
[8, 8, 9, 4] has 4 digits.
[3, 7, 4] has 3 digits.
[4] + [4] , C = 0, 4 + 4 + 0 = 8, A ->8, C -> 0
[9] + [7] , C = 1, 9 + 7 + 1 = 16, A ->6, C -> 1
[8] + [3] , C = 1, 8 + 3 + 1 = 12, A ->2, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 2 6 8. |
44+69 = | < scratch >
[4, 4] has 2 digits.
[6, 9] has 2 digits.
[4] + [9] , C = 1, 4 + 9 + 1 = 13, A ->3, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 3. |
97+866 = | < scratch >
[9, 7] has 2 digits.
[8, 6, 6] has 3 digits.
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[9] + [6] , C = 1, 9 + 6 + 1 = 16, A ->6, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 6 3. |
97+5 = | < scratch >
[9, 7] has 2 digits.
[5] has 1 digits.
[7] + [5] , C = 1, 7 + 5 + 1 = 12, A ->2, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 2. |
876+87 = | < scratch >
[8, 7, 6] has 3 digits.
[8, 7] has 2 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[7] + [8] , C = 1, 7 + 8 + 1 = 16, A ->6, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 6 3. |
8816+766 = | < scratch >
[8, 8, 1, 6] has 4 digits.
[7, 6, 6] has 3 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[1] + [6] , C = 0, 1 + 6 + 0 = 8, A ->8, C -> 0
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 5 8 2. |
4612+88 = | < scratch >
[4, 6, 1, 2] has 4 digits.
[8, 8] has 2 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
[4] + [0] , C = 0, 4 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 7 0 0. |
6+9494 = | < scratch >
[6] has 1 digits.
[9, 4, 9, 4] has 4 digits.
[6] + [4] , C = 1, 6 + 4 + 1 = 10, A ->0, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[0] + [4] , C = 0, 0 + 4 + 0 = 5, A ->5, C -> 0
[0] + [9] , C = 0, 0 + 9 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 5 0 0. |
157+991 = | < scratch >
[1, 5, 7] has 3 digits.
[9, 9, 1] has 3 digits.
[7] + [1] , C = 0, 7 + 1 + 0 = 8, A ->8, C -> 0
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 4 8. |
73+368 = | < scratch >
[7, 3] has 2 digits.
[3, 6, 8] has 3 digits.
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[7] + [6] , C = 1, 7 + 6 + 1 = 14, A ->4, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 4 1. |
2866+68 = | < scratch >
[2, 8, 6, 6] has 4 digits.
[6, 8] has 2 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
[2] + [0] , C = 0, 2 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 9 3 4. |
793+88 = | < scratch >
[7, 9, 3] has 3 digits.
[8, 8] has 2 digits.
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 8 1. |
4698+3337 = | < scratch >
[4, 6, 9, 8] has 4 digits.
[3, 3, 3, 7] has 4 digits.
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[9] + [3] , C = 1, 9 + 3 + 1 = 13, A ->3, C -> 1
[6] + [3] , C = 1, 6 + 3 + 1 = 10, A ->0, C -> 1
[4] + [3] , C = 0, 4 + 3 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 0 3 5. |
483+2839 = | < scratch >
[4, 8, 3] has 3 digits.
[2, 8, 3, 9] has 4 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[8] + [3] , C = 1, 8 + 3 + 1 = 12, A ->2, C -> 1
[4] + [8] , C = 1, 4 + 8 + 1 = 13, A ->3, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 3 2 2. |
625+529 = | < scratch >
[6, 2, 5] has 3 digits.
[5, 2, 9] has 3 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[2] + [2] , C = 0, 2 + 2 + 0 = 5, A ->5, C -> 0
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 5 4. |
91+369 = | < scratch >
[9, 1] has 2 digits.
[3, 6, 9] has 3 digits.
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[9] + [6] , C = 1, 9 + 6 + 1 = 16, A ->6, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 6 0. |
1129+193 = | < scratch >
[1, 1, 2, 9] has 4 digits.
[1, 9, 3] has 3 digits.
[9] + [3] , C = 1, 9 + 3 + 1 = 12, A ->2, C -> 1
[2] + [9] , C = 1, 2 + 9 + 1 = 12, A ->2, C -> 1
[1] + [1] , C = 0, 1 + 1 + 0 = 3, A ->3, C -> 0
[1] + [0] , C = 0, 1 + 0 + 0 = 1, A ->1, C -> 0
</ scratch >
sum:1 3 2 2. |
5665+385 = | < scratch >
[5, 6, 6, 5] has 4 digits.
[3, 8, 5] has 3 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
[6] + [3] , C = 1, 6 + 3 + 1 = 10, A ->0, C -> 1
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 5 0. |
3567+73 = | < scratch >
[3, 5, 6, 7] has 4 digits.
[7, 3] has 2 digits.
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[6] + [7] , C = 1, 6 + 7 + 1 = 14, A ->4, C -> 1
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
[3] + [0] , C = 0, 3 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 6 4 0. |
5915+2288 = | < scratch >
[5, 9, 1, 5] has 4 digits.
[2, 2, 8, 8] has 4 digits.
[5] + [8] , C = 1, 5 + 8 + 1 = 13, A ->3, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[9] + [2] , C = 1, 9 + 2 + 1 = 12, A ->2, C -> 1
[5] + [2] , C = 0, 5 + 2 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 2 0 3. |
1142+9518 = | < scratch >
[1, 1, 4, 2] has 4 digits.
[9, 5, 1, 8] has 4 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[4] + [1] , C = 0, 4 + 1 + 0 = 6, A ->6, C -> 0
[1] + [5] , C = 0, 1 + 5 + 0 = 6, A ->6, C -> 0
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 6 6 0. |
99+656 = | < scratch >
[9, 9] has 2 digits.
[6, 5, 6] has 3 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[9] + [5] , C = 1, 9 + 5 + 1 = 15, A ->5, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 5 5. |
83+69 = | < scratch >
[8, 3] has 2 digits.
[6, 9] has 2 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[8] + [6] , C = 1, 8 + 6 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 2. |
178+52 = | < scratch >
[1, 7, 8] has 3 digits.
[5, 2] has 2 digits.
[8] + [2] , C = 1, 8 + 2 + 1 = 10, A ->0, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 3 0. |
3345+99 = | < scratch >
[3, 3, 4, 5] has 4 digits.
[9, 9] has 2 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[4] + [9] , C = 1, 4 + 9 + 1 = 14, A ->4, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
[3] + [0] , C = 0, 3 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 4 4 4. |
790+4215 = | < scratch >
[7, 9, 0] has 3 digits.
[4, 2, 1, 5] has 4 digits.
[0] + [5] , C = 0, 0 + 5 + 0 = 5, A ->5, C -> 0
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[7] + [2] , C = 1, 7 + 2 + 1 = 10, A ->0, C -> 1
[0] + [4] , C = 0, 0 + 4 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 0 0 5. |
6+97 = | < scratch >
[6] has 1 digits.
[9, 7] has 2 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
</ scratch >
sum:1 0 3. |
98+4 = | < scratch >
[9, 8] has 2 digits.
[4] has 1 digits.
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 2. |
297+683 = | < scratch >
[2, 9, 7] has 3 digits.
[6, 8, 3] has 3 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
[2] + [6] , C = 0, 2 + 6 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 8 0. |
7793+1644 = | < scratch >
[7, 7, 9, 3] has 4 digits.
[1, 6, 4, 4] has 4 digits.
[3] + [4] , C = 0, 3 + 4 + 0 = 7, A ->7, C -> 0
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[7] + [6] , C = 1, 7 + 6 + 1 = 14, A ->4, C -> 1
[7] + [1] , C = 0, 7 + 1 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 4 3 7. |
2895+5 = | < scratch >
[2, 8, 9, 5] has 4 digits.
[5] has 1 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, 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
[2] + [0] , C = 0, 2 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 9 0 0. |
494+329 = | < scratch >
[4, 9, 4] has 3 digits.
[3, 2, 9] has 3 digits.
[4] + [9] , C = 1, 4 + 9 + 1 = 13, A ->3, C -> 1
[9] + [2] , C = 1, 9 + 2 + 1 = 12, A ->2, C -> 1
[4] + [3] , C = 0, 4 + 3 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 2 3. |
66+46 = | < scratch >
[6, 6] has 2 digits.
[4, 6] has 2 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[6] + [4] , C = 1, 6 + 4 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 2. |
85+45 = | < scratch >
[8, 5] has 2 digits.
[4, 5] has 2 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 0. |
9854+238 = | < scratch >
[9, 8, 5, 4] has 4 digits.
[2, 3, 8] has 3 digits.
[4] + [8] , C = 1, 4 + 8 + 1 = 12, A ->2, C -> 1
[5] + [3] , C = 0, 5 + 3 + 0 = 9, A ->9, C -> 0
[8] + [2] , C = 1, 8 + 2 + 1 = 10, A ->0, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 9 2. |
6956+2888 = | < scratch >
[6, 9, 5, 6] has 4 digits.
[2, 8, 8, 8] has 4 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[5] + [8] , C = 1, 5 + 8 + 1 = 14, A ->4, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
[6] + [2] , C = 0, 6 + 2 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 8 4 4. |
69+68 = | < scratch >
[6, 9] has 2 digits.
[6, 8] has 2 digits.
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 7. |
2426+1484 = | < scratch >
[2, 4, 2, 6] has 4 digits.
[1, 4, 8, 4] has 4 digits.
[6] + [4] , C = 1, 6 + 4 + 1 = 10, A ->0, C -> 1
[2] + [8] , C = 1, 2 + 8 + 1 = 11, A ->1, C -> 1
[4] + [4] , C = 0, 4 + 4 + 0 = 9, A ->9, C -> 0
[2] + [1] , C = 0, 2 + 1 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 9 1 0. |
744+67 = | < scratch >
[7, 4, 4] has 3 digits.
[6, 7] has 2 digits.
[4] + [7] , C = 1, 4 + 7 + 1 = 11, A ->1, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 1 1. |
85+835 = | < scratch >
[8, 5] has 2 digits.
[8, 3, 5] has 3 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[8] + [3] , C = 1, 8 + 3 + 1 = 12, A ->2, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 2 0. |
4064+88 = | < scratch >
[4, 0, 6, 4] has 4 digits.
[8, 8] has 2 digits.
[4] + [8] , C = 1, 4 + 8 + 1 = 12, A ->2, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
[0] + [0] , C = 0, 0 + 0 + 0 = 1, A ->1, C -> 0
[4] + [0] , C = 0, 4 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 1 5 2. |
799+3 = | < scratch >
[7, 9, 9] has 3 digits.
[3] has 1 digits.
[9] + [3] , C = 1, 9 + 3 + 1 = 12, A ->2, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 0 2. |
4317+836 = | < scratch >
[4, 3, 1, 7] has 4 digits.
[8, 3, 6] has 3 digits.
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[1] + [3] , C = 0, 1 + 3 + 0 = 5, A ->5, C -> 0
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 1 5 3. |
836+9632 = | < scratch >
[8, 3, 6] has 3 digits.
[9, 6, 3, 2] has 4 digits.
[6] + [2] , C = 0, 6 + 2 + 0 = 8, A ->8, C -> 0
[3] + [3] , C = 0, 3 + 3 + 0 = 6, A ->6, C -> 0
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 4 6 8. |
59+2179 = | < scratch >
[5, 9] has 2 digits.
[2, 1, 7, 9] has 4 digits.
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[5] + [7] , C = 1, 5 + 7 + 1 = 13, A ->3, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
[0] + [2] , C = 0, 0 + 2 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 2 3 8. |
92+9992 = | < scratch >
[9, 2] has 2 digits.
[9, 9, 9, 2] has 4 digits.
[2] + [2] , C = 0, 2 + 2 + 0 = 4, A ->4, C -> 0
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, 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
</ scratch >
sum:1 0 0 8 4. |
88+1948 = | < scratch >
[8, 8] has 2 digits.
[1, 9, 4, 8] has 4 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, 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 3 6. |
2251+8139 = | < scratch >
[2, 2, 5, 1] has 4 digits.
[8, 1, 3, 9] has 4 digits.
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[5] + [3] , C = 0, 5 + 3 + 0 = 9, A ->9, C -> 0
[2] + [1] , C = 0, 2 + 1 + 0 = 3, A ->3, C -> 0
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 3 9 0. |
463+1369 = | < scratch >
[4, 6, 3] has 3 digits.
[1, 3, 6, 9] has 4 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[4] + [3] , C = 0, 4 + 3 + 0 = 8, A ->8, C -> 0
[0] + [1] , C = 0, 0 + 1 + 0 = 1, A ->1, C -> 0
</ scratch >
sum:1 8 3 2. |
85+9975 = | < scratch >
[8, 5] has 2 digits.
[9, 9, 7, 5] has 4 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[8] + [7] , C = 1, 8 + 7 + 1 = 16, A ->6, 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
</ scratch >
sum:1 0 0 6 0. |
67+399 = | < scratch >
[6, 7] has 2 digits.
[3, 9, 9] has 3 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 6 6. |
1436+98 = | < scratch >
[1, 4, 3, 6] has 4 digits.
[9, 8] has 2 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
[1] + [0] , C = 0, 1 + 0 + 0 = 1, A ->1, C -> 0
</ scratch >
sum:1 5 3 4. |
8109+4804 = | < scratch >
[8, 1, 0, 9] has 4 digits.
[4, 8, 0, 4] has 4 digits.
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[0] + [0] , C = 0, 0 + 0 + 0 = 1, A ->1, C -> 0
[1] + [8] , C = 0, 1 + 8 + 0 = 9, A ->9, C -> 0
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 9 1 3. |
246+95 = | < scratch >
[2, 4, 6] has 3 digits.
[9, 5] has 2 digits.
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[4] + [9] , C = 1, 4 + 9 + 1 = 14, A ->4, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 4 1. |
397+9757 = | < scratch >
[3, 9, 7] has 3 digits.
[9, 7, 5, 7] has 4 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[9] + [5] , C = 1, 9 + 5 + 1 = 15, A ->5, C -> 1
[3] + [7] , C = 1, 3 + 7 + 1 = 11, A ->1, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 1 5 4. |
8689+96 = | < scratch >
[8, 6, 8, 9] has 4 digits.
[9, 6] has 2 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
[8] + [0] , C = 0, 8 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 7 8 5. |
882+445 = | < scratch >
[8, 8, 2] has 3 digits.
[4, 4, 5] has 3 digits.
[2] + [5] , C = 0, 2 + 5 + 0 = 7, A ->7, C -> 0
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 2 7. |
598+1681 = | < scratch >
[5, 9, 8] has 3 digits.
[1, 6, 8, 1] has 4 digits.
[8] + [1] , C = 0, 8 + 1 + 0 = 9, A ->9, C -> 0
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 2 7 9. |
2241+6971 = | < scratch >
[2, 2, 4, 1] has 4 digits.
[6, 9, 7, 1] has 4 digits.
[1] + [1] , C = 0, 1 + 1 + 0 = 2, A ->2, C -> 0
[4] + [7] , C = 1, 4 + 7 + 1 = 11, A ->1, C -> 1
[2] + [9] , C = 1, 2 + 9 + 1 = 12, A ->2, C -> 1
[2] + [6] , C = 0, 2 + 6 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 2 1 2. |
4156+88 = | < scratch >
[4, 1, 5, 6] has 4 digits.
[8, 8] has 2 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[5] + [8] , C = 1, 5 + 8 + 1 = 14, A ->4, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
[4] + [0] , C = 0, 4 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 2 4 4. |
484+2593 = | < scratch >
[4, 8, 4] has 3 digits.
[2, 5, 9, 3] has 4 digits.
[4] + [3] , C = 0, 4 + 3 + 0 = 7, A ->7, C -> 0
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[4] + [5] , C = 1, 4 + 5 + 1 = 10, A ->0, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 0 7 7. |
697+6 = | < scratch >
[6, 9, 7] has 3 digits.
[6] has 1 digits.
[7] + [6] , C = 1, 7 + 6 + 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. |
9+7696 = | < scratch >
[9] has 1 digits.
[7, 6, 9, 6] has 4 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
[0] + [7] , C = 0, 0 + 7 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 7 0 5. |
15+885 = | < scratch >
[1, 5] has 2 digits.
[8, 8, 5] has 3 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 0 0. |
916+8785 = | < scratch >
[9, 1, 6] has 3 digits.
[8, 7, 8, 5] has 4 digits.
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, 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
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 7 0 1. |
278+779 = | < scratch >
[2, 7, 8] has 3 digits.
[7, 7, 9] has 3 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 5 7. |
439+9377 = | < scratch >
[4, 3, 9] has 3 digits.
[9, 3, 7, 7] has 4 digits.
[9] + [7] , C = 1, 9 + 7 + 1 = 16, A ->6, C -> 1
[3] + [7] , C = 1, 3 + 7 + 1 = 11, A ->1, C -> 1
[4] + [3] , C = 0, 4 + 3 + 0 = 8, A ->8, C -> 0
[0] + [9] , C = 0, 0 + 9 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 8 1 6. |
525+5966 = | < scratch >
[5, 2, 5] has 3 digits.
[5, 9, 6, 6] has 4 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[2] + [6] , C = 0, 2 + 6 + 0 = 9, A ->9, C -> 0
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 4 9 1. |
898+951 = | < scratch >
[8, 9, 8] has 3 digits.
[9, 5, 1] has 3 digits.
[8] + [1] , C = 0, 8 + 1 + 0 = 9, A ->9, C -> 0
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
</ scratch >
sum:1 8 4 9. |
967+687 = | < scratch >
[9, 6, 7] has 3 digits.
[6, 8, 7] has 3 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
[9] + [6] , C = 1, 9 + 6 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 5 4. |
8485+858 = | < scratch >
[8, 4, 8, 5] has 4 digits.
[8, 5, 8] has 3 digits.
[5] + [8] , C = 1, 5 + 8 + 1 = 13, A ->3, C -> 1
[8] + [5] , C = 1, 8 + 5 + 1 = 14, A ->4, C -> 1
[4] + [8] , C = 1, 4 + 8 + 1 = 13, A ->3, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 3 4 3. |
58+89 = | < scratch >
[5, 8] has 2 digits.
[8, 9] has 2 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[5] + [8] , C = 1, 5 + 8 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 7. |
830+487 = | < scratch >
[8, 3, 0] has 3 digits.
[4, 8, 7] has 3 digits.
[0] + [7] , C = 0, 0 + 7 + 0 = 7, A ->7, C -> 0
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 1 7. |
8148+674 = | < scratch >
[8, 1, 4, 8] has 4 digits.
[6, 7, 4] has 3 digits.
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
[1] + [6] , C = 0, 1 + 6 + 0 = 8, A ->8, C -> 0
[8] + [0] , C = 0, 8 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 8 2 2. |
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