input stringlengths 6 12 | target stringlengths 117 294 |
|---|---|
9907+93 = | < scratch >
[9, 9, 0, 7] has 4 digits.
[9, 3] has 2 digits.
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 0 0. |
929+471 = | < scratch >
[9, 2, 9] has 3 digits.
[4, 7, 1] has 3 digits.
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
[9] + [4] , C = 1, 9 + 4 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 0 0. |
654+6481 = | < scratch >
[6, 5, 4] has 3 digits.
[6, 4, 8, 1] has 4 digits.
[4] + [1] , C = 0, 4 + 1 + 0 = 5, A ->5, C -> 0
[5] + [8] , C = 1, 5 + 8 + 1 = 13, A ->3, C -> 1
[6] + [4] , C = 1, 6 + 4 + 1 = 11, A ->1, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 1 3 5. |
682+4982 = | < scratch >
[6, 8, 2] has 3 digits.
[4, 9, 8, 2] has 4 digits.
[2] + [2] , C = 0, 2 + 2 + 0 = 4, A ->4, C -> 0
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
[0] + [4] , C = 0, 0 + 4 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 6 6 4. |
88+758 = | < scratch >
[8, 8] has 2 digits.
[7, 5, 8] has 3 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[8] + [5] , C = 1, 8 + 5 + 1 = 14, A ->4, C -> 1
[0] + [7] , C = 0, 0 + 7 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 4 6. |
987+3896 = | < scratch >
[9, 8, 7] has 3 digits.
[3, 8, 9, 6] has 4 digits.
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 8 8 3. |
414+87 = | < scratch >
[4, 1, 4] has 3 digits.
[8, 7] has 2 digits.
[4] + [7] , C = 1, 4 + 7 + 1 = 11, A ->1, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 0 1. |
2882+680 = | < scratch >
[2, 8, 8, 2] has 4 digits.
[6, 8, 0] has 3 digits.
[2] + [0] , C = 0, 2 + 0 + 0 = 2, A ->2, C -> 0
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[8] + [6] , C = 1, 8 + 6 + 1 = 15, A ->5, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 5 6 2. |
970+888 = | < scratch >
[9, 7, 0] has 3 digits.
[8, 8, 8] has 3 digits.
[0] + [8] , C = 0, 0 + 8 + 0 = 8, A ->8, C -> 0
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
</ scratch >
sum:1 8 5 8. |
8722+518 = | < scratch >
[8, 7, 2, 2] has 4 digits.
[5, 1, 8] has 3 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[2] + [1] , C = 0, 2 + 1 + 0 = 4, A ->4, C -> 0
[7] + [5] , C = 1, 7 + 5 + 1 = 12, A ->2, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 2 4 0. |
78+68 = | < scratch >
[7, 8] has 2 digits.
[6, 8] has 2 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[7] + [6] , C = 1, 7 + 6 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 6. |
4783+435 = | < scratch >
[4, 7, 8, 3] has 4 digits.
[4, 3, 5] has 3 digits.
[3] + [5] , C = 0, 3 + 5 + 0 = 8, A ->8, C -> 0
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[7] + [4] , C = 1, 7 + 4 + 1 = 12, A ->2, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 2 1 8. |
9+795 = | < scratch >
[9] has 1 digits.
[7, 9, 5] has 3 digits.
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, 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 4. |
9843+3273 = | < scratch >
[9, 8, 4, 3] has 4 digits.
[3, 2, 7, 3] has 4 digits.
[3] + [3] , C = 0, 3 + 3 + 0 = 6, A ->6, C -> 0
[4] + [7] , C = 1, 4 + 7 + 1 = 11, A ->1, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, C -> 1
[9] + [3] , C = 1, 9 + 3 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 1 1 6. |
5956+7514 = | < scratch >
[5, 9, 5, 6] has 4 digits.
[7, 5, 1, 4] has 4 digits.
[6] + [4] , C = 1, 6 + 4 + 1 = 10, A ->0, C -> 1
[5] + [1] , C = 0, 5 + 1 + 0 = 7, A ->7, C -> 0
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[5] + [7] , C = 1, 5 + 7 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 4 7 0. |
9225+9347 = | < scratch >
[9, 2, 2, 5] has 4 digits.
[9, 3, 4, 7] has 4 digits.
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[2] + [4] , C = 0, 2 + 4 + 0 = 7, A ->7, C -> 0
[2] + [3] , C = 0, 2 + 3 + 0 = 5, A ->5, C -> 0
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
</ scratch >
sum:1 8 5 7 2. |
456+785 = | < scratch >
[4, 5, 6] has 3 digits.
[7, 8, 5] has 3 digits.
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[5] + [8] , C = 1, 5 + 8 + 1 = 14, A ->4, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 4 1. |
2680+4871 = | < scratch >
[2, 6, 8, 0] has 4 digits.
[4, 8, 7, 1] has 4 digits.
[0] + [1] , C = 0, 0 + 1 + 0 = 1, A ->1, C -> 0
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
[2] + [4] , C = 0, 2 + 4 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 5 5 1. |
355+57 = | < scratch >
[3, 5, 5] has 3 digits.
[5, 7] has 2 digits.
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[5] + [5] , C = 1, 5 + 5 + 1 = 11, A ->1, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 1 2. |
631+2474 = | < scratch >
[6, 3, 1] has 3 digits.
[2, 4, 7, 4] has 4 digits.
[1] + [4] , C = 0, 1 + 4 + 0 = 5, A ->5, C -> 0
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, 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 0 5. |
49+571 = | < scratch >
[4, 9] has 2 digits.
[5, 7, 1] has 3 digits.
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 2 0. |
355+65 = | < scratch >
[3, 5, 5] has 3 digits.
[6, 5] has 2 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 2 0. |
6+1297 = | < scratch >
[6] has 1 digits.
[1, 2, 9, 7] has 4 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] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
[0] + [1] , C = 0, 0 + 1 + 0 = 1, A ->1, C -> 0
</ scratch >
sum:1 3 0 3. |
56+57 = | < scratch >
[5, 6] has 2 digits.
[5, 7] has 2 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[5] + [5] , C = 1, 5 + 5 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 3. |
1169+898 = | < scratch >
[1, 1, 6, 9] has 4 digits.
[8, 9, 8] has 3 digits.
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 0 6 7. |
282+68 = | < scratch >
[2, 8, 2] has 3 digits.
[6, 8] has 2 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[8] + [6] , C = 1, 8 + 6 + 1 = 15, A ->5, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 5 0. |
7564+4700 = | < scratch >
[7, 5, 6, 4] has 4 digits.
[4, 7, 0, 0] has 4 digits.
[4] + [0] , C = 0, 4 + 0 + 0 = 4, A ->4, C -> 0
[6] + [0] , C = 0, 6 + 0 + 0 = 6, A ->6, C -> 0
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[7] + [4] , C = 1, 7 + 4 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 2 6 4. |
6792+2713 = | < scratch >
[6, 7, 9, 2] has 4 digits.
[2, 7, 1, 3] has 4 digits.
[2] + [3] , C = 0, 2 + 3 + 0 = 5, A ->5, C -> 0
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, C -> 1
[6] + [2] , C = 0, 6 + 2 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 5 0 5. |
27+9797 = | < scratch >
[2, 7] has 2 digits.
[9, 7, 9, 7] has 4 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[2] + [9] , C = 1, 2 + 9 + 1 = 12, A ->2, C -> 1
[0] + [7] , C = 0, 0 + 7 + 0 = 8, A ->8, C -> 0
[0] + [9] , C = 0, 0 + 9 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 8 2 4. |
2838+6593 = | < scratch >
[2, 8, 3, 8] has 4 digits.
[6, 5, 9, 3] has 4 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
[8] + [5] , C = 1, 8 + 5 + 1 = 14, A ->4, C -> 1
[2] + [6] , C = 0, 2 + 6 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 4 3 1. |
9818+3933 = | < scratch >
[9, 8, 1, 8] has 4 digits.
[3, 9, 3, 3] has 4 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[1] + [3] , C = 0, 1 + 3 + 0 = 5, A ->5, C -> 0
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[9] + [3] , C = 1, 9 + 3 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 7 5 1. |
4928+5456 = | < scratch >
[4, 9, 2, 8] has 4 digits.
[5, 4, 5, 6] has 4 digits.
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[2] + [5] , C = 0, 2 + 5 + 0 = 8, A ->8, C -> 0
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[4] + [5] , C = 1, 4 + 5 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 3 8 4. |
89+22 = | < scratch >
[8, 9] has 2 digits.
[2, 2] has 2 digits.
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 1. |
493+7 = | < scratch >
[4, 9, 3] has 3 digits.
[7] has 1 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 0 0. |
879+58 = | < scratch >
[8, 7, 9] has 3 digits.
[5, 8] has 2 digits.
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 3 7. |
183+698 = | < scratch >
[1, 8, 3] has 3 digits.
[6, 9, 8] has 3 digits.
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
[1] + [6] , C = 0, 1 + 6 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 8 1. |
9768+953 = | < scratch >
[9, 7, 6, 8] has 4 digits.
[9, 5, 3] has 3 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[6] + [5] , C = 1, 6 + 5 + 1 = 12, A ->2, C -> 1
[7] + [9] , C = 1, 7 + 9 + 1 = 17, A ->7, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 7 2 1. |
854+87 = | < scratch >
[8, 5, 4] has 3 digits.
[8, 7] has 2 digits.
[4] + [7] , C = 1, 4 + 7 + 1 = 11, A ->1, C -> 1
[5] + [8] , C = 1, 5 + 8 + 1 = 14, A ->4, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 4 1. |
94+39 = | < scratch >
[9, 4] has 2 digits.
[3, 9] has 2 digits.
[4] + [9] , C = 1, 4 + 9 + 1 = 13, A ->3, C -> 1
[9] + [3] , C = 1, 9 + 3 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 3. |
97+386 = | < scratch >
[9, 7] has 2 digits.
[3, 8, 6] has 3 digits.
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 8 3. |
885+29 = | < scratch >
[8, 8, 5] has 3 digits.
[2, 9] has 2 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 1 4. |
69+51 = | < scratch >
[6, 9] has 2 digits.
[5, 1] has 2 digits.
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[6] + [5] , C = 1, 6 + 5 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 0. |
85+849 = | < scratch >
[8, 5] has 2 digits.
[8, 4, 9] has 3 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 3 4. |
9453+1891 = | < scratch >
[9, 4, 5, 3] has 4 digits.
[1, 8, 9, 1] has 4 digits.
[3] + [1] , C = 0, 3 + 1 + 0 = 4, A ->4, C -> 0
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[4] + [8] , C = 1, 4 + 8 + 1 = 13, A ->3, C -> 1
[9] + [1] , C = 1, 9 + 1 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 3 4 4. |
96+934 = | < scratch >
[9, 6] has 2 digits.
[9, 3, 4] has 3 digits.
[6] + [4] , C = 1, 6 + 4 + 1 = 10, A ->0, 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
</ scratch >
sum:1 0 3 0. |
4624+556 = | < scratch >
[4, 6, 2, 4] has 4 digits.
[5, 5, 6] has 3 digits.
[4] + [6] , C = 1, 4 + 6 + 1 = 10, A ->0, C -> 1
[2] + [5] , C = 0, 2 + 5 + 0 = 8, A ->8, C -> 0
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 1 8 0. |
1646+7497 = | < scratch >
[1, 6, 4, 6] has 4 digits.
[7, 4, 9, 7] has 4 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[4] + [9] , C = 1, 4 + 9 + 1 = 14, A ->4, C -> 1
[6] + [4] , C = 1, 6 + 4 + 1 = 11, A ->1, C -> 1
[1] + [7] , C = 0, 1 + 7 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 1 4 3. |
6590+9316 = | < scratch >
[6, 5, 9, 0] has 4 digits.
[9, 3, 1, 6] has 4 digits.
[0] + [6] , C = 0, 0 + 6 + 0 = 6, A ->6, C -> 0
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[5] + [3] , C = 0, 5 + 3 + 0 = 9, A ->9, C -> 0
[6] + [9] , C = 1, 6 + 9 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 9 0 6. |
2453+47 = | < scratch >
[2, 4, 5, 3] has 4 digits.
[4, 7] has 2 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[5] + [4] , C = 1, 5 + 4 + 1 = 10, A ->0, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
[2] + [0] , C = 0, 2 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 5 0 0. |
974+143 = | < scratch >
[9, 7, 4] has 3 digits.
[1, 4, 3] has 3 digits.
[4] + [3] , C = 0, 4 + 3 + 0 = 7, A ->7, C -> 0
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[9] + [1] , C = 1, 9 + 1 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 1 7. |
77+94 = | < scratch >
[7, 7] has 2 digits.
[9, 4] has 2 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[7] + [9] , C = 1, 7 + 9 + 1 = 17, A ->7, C -> 1
</ scratch >
sum:1 7 1. |
8616+8238 = | < scratch >
[8, 6, 1, 6] has 4 digits.
[8, 2, 3, 8] has 4 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[1] + [3] , C = 0, 1 + 3 + 0 = 5, A ->5, C -> 0
[6] + [2] , C = 0, 6 + 2 + 0 = 8, A ->8, C -> 0
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 8 5 4. |
4818+2483 = | < scratch >
[4, 8, 1, 8] has 4 digits.
[2, 4, 8, 3] has 4 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
[4] + [2] , C = 0, 4 + 2 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 3 0 1. |
2987+17 = | < scratch >
[2, 9, 8, 7] has 4 digits.
[1, 7] has 2 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[8] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, 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 0 4. |
46+655 = | < scratch >
[4, 6] has 2 digits.
[6, 5, 5] has 3 digits.
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[4] + [5] , C = 1, 4 + 5 + 1 = 10, A ->0, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 0 1. |
357+93 = | < scratch >
[3, 5, 7] has 3 digits.
[9, 3] has 2 digits.
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 5 0. |
4840+7585 = | < scratch >
[4, 8, 4, 0] has 4 digits.
[7, 5, 8, 5] has 4 digits.
[0] + [5] , C = 0, 0 + 5 + 0 = 5, A ->5, C -> 0
[4] + [8] , C = 1, 4 + 8 + 1 = 12, A ->2, C -> 1
[8] + [5] , C = 1, 8 + 5 + 1 = 14, A ->4, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 4 2 5. |
8886+681 = | < scratch >
[8, 8, 8, 6] has 4 digits.
[6, 8, 1] has 3 digits.
[6] + [1] , C = 0, 6 + 1 + 0 = 7, A ->7, C -> 0
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[8] + [6] , C = 1, 8 + 6 + 1 = 15, A ->5, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 5 6 7. |
786+777 = | < scratch >
[7, 8, 6] has 3 digits.
[7, 7, 7] has 3 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[8] + [7] , C = 1, 8 + 7 + 1 = 16, A ->6, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 6 3. |
797+9550 = | < scratch >
[7, 9, 7] has 3 digits.
[9, 5, 5, 0] has 4 digits.
[7] + [0] , C = 0, 7 + 0 + 0 = 7, A ->7, C -> 0
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 3 4 7. |
5938+93 = | < scratch >
[5, 9, 3, 8] has 4 digits.
[9, 3] has 2 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, 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
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 3 1. |
277+6387 = | < scratch >
[2, 7, 7] has 3 digits.
[6, 3, 8, 7] has 4 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[7] + [8] , C = 1, 7 + 8 + 1 = 16, A ->6, C -> 1
[2] + [3] , C = 0, 2 + 3 + 0 = 6, A ->6, C -> 0
[0] + [6] , C = 0, 0 + 6 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 6 6 4. |
95+7865 = | < scratch >
[9, 5] has 2 digits.
[7, 8, 6, 5] has 4 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, 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
[0] + [7] , C = 0, 0 + 7 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 9 6 0. |
806+6287 = | < scratch >
[8, 0, 6] has 3 digits.
[6, 2, 8, 7] has 4 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
[8] + [2] , C = 1, 8 + 2 + 1 = 10, A ->0, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 0 9 3. |
7396+8724 = | < scratch >
[7, 3, 9, 6] has 4 digits.
[8, 7, 2, 4] has 4 digits.
[6] + [4] , C = 1, 6 + 4 + 1 = 10, A ->0, C -> 1
[9] + [2] , C = 1, 9 + 2 + 1 = 12, A ->2, C -> 1
[3] + [7] , C = 1, 3 + 7 + 1 = 11, A ->1, C -> 1
[7] + [8] , C = 1, 7 + 8 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 1 2 0. |
532+478 = | < scratch >
[5, 3, 2] has 3 digits.
[4, 7, 8] has 3 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[3] + [7] , C = 1, 3 + 7 + 1 = 11, A ->1, C -> 1
[5] + [4] , C = 1, 5 + 4 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 1 0. |
146+6585 = | < scratch >
[1, 4, 6] has 3 digits.
[6, 5, 8, 5] has 4 digits.
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[4] + [8] , C = 1, 4 + 8 + 1 = 13, A ->3, C -> 1
[1] + [5] , C = 0, 1 + 5 + 0 = 7, A ->7, C -> 0
[0] + [6] , C = 0, 0 + 6 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 7 3 1. |
814+1469 = | < scratch >
[8, 1, 4] has 3 digits.
[1, 4, 6, 9] has 4 digits.
[4] + [9] , C = 1, 4 + 9 + 1 = 13, A ->3, C -> 1
[1] + [6] , C = 0, 1 + 6 + 0 = 8, A ->8, C -> 0
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 2 8 3. |
992+1545 = | < scratch >
[9, 9, 2] has 3 digits.
[1, 5, 4, 5] has 4 digits.
[2] + [5] , C = 0, 2 + 5 + 0 = 7, A ->7, C -> 0
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[9] + [5] , C = 1, 9 + 5 + 1 = 15, A ->5, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 5 3 7. |
9749+82 = | < scratch >
[9, 7, 4, 9] has 4 digits.
[8, 2] has 2 digits.
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[4] + [8] , C = 1, 4 + 8 + 1 = 13, A ->3, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
[9] + [0] , C = 0, 9 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 8 3 1. |
39+9569 = | < scratch >
[3, 9] has 2 digits.
[9, 5, 6, 9] has 4 digits.
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[3] + [6] , C = 1, 3 + 6 + 1 = 10, A ->0, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
[0] + [9] , C = 0, 0 + 9 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 6 0 8. |
6545+67 = | < scratch >
[6, 5, 4, 5] has 4 digits.
[6, 7] has 2 digits.
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
[6] + [0] , C = 0, 6 + 0 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 6 1 2. |
8161+899 = | < scratch >
[8, 1, 6, 1] has 4 digits.
[8, 9, 9] has 3 digits.
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 0 6 0. |
8992+1404 = | < scratch >
[8, 9, 9, 2] has 4 digits.
[1, 4, 0, 4] has 4 digits.
[2] + [4] , C = 0, 2 + 4 + 0 = 6, A ->6, C -> 0
[9] + [0] , C = 0, 9 + 0 + 0 = 9, A ->9, C -> 0
[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 9 6. |
579+3876 = | < scratch >
[5, 7, 9] has 3 digits.
[3, 8, 7, 6] has 4 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, C -> 1
[5] + [8] , C = 1, 5 + 8 + 1 = 14, A ->4, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 4 5 5. |
4887+384 = | < scratch >
[4, 8, 8, 7] has 4 digits.
[3, 8, 4] has 3 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
[8] + [3] , C = 1, 8 + 3 + 1 = 12, A ->2, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 2 7 1. |
9696+7582 = | < scratch >
[9, 6, 9, 6] has 4 digits.
[7, 5, 8, 2] has 4 digits.
[6] + [2] , C = 0, 6 + 2 + 0 = 8, A ->8, C -> 0
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[6] + [5] , C = 1, 6 + 5 + 1 = 12, A ->2, C -> 1
[9] + [7] , C = 1, 9 + 7 + 1 = 17, A ->7, C -> 1
</ scratch >
sum:1 7 2 7 8. |
7+98 = | < scratch >
[7] has 1 digits.
[9, 8] has 2 digits.
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 5. |
255+974 = | < scratch >
[2, 5, 5] has 3 digits.
[9, 7, 4] has 3 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
[2] + [9] , C = 1, 2 + 9 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 2 9. |
332+88 = | < scratch >
[3, 3, 2] has 3 digits.
[8, 8] has 2 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[3] + [8] , C = 1, 3 + 8 + 1 = 12, A ->2, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 2 0. |
265+7085 = | < scratch >
[2, 6, 5] has 3 digits.
[7, 0, 8, 5] has 4 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
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
[0] + [7] , C = 0, 0 + 7 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 3 5 0. |
883+187 = | < scratch >
[8, 8, 3] has 3 digits.
[1, 8, 7] has 3 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
[8] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 7 0. |
7699+6120 = | < scratch >
[7, 6, 9, 9] has 4 digits.
[6, 1, 2, 0] has 4 digits.
[9] + [0] , C = 0, 9 + 0 + 0 = 9, A ->9, C -> 0
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[6] + [1] , C = 0, 6 + 1 + 0 = 8, A ->8, C -> 0
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 8 1 9. |
2328+1592 = | < scratch >
[2, 3, 2, 8] has 4 digits.
[1, 5, 9, 2] has 4 digits.
[8] + [2] , C = 1, 8 + 2 + 1 = 10, A ->0, C -> 1
[2] + [9] , C = 1, 2 + 9 + 1 = 12, A ->2, C -> 1
[3] + [5] , C = 0, 3 + 5 + 0 = 9, A ->9, C -> 0
[2] + [1] , C = 0, 2 + 1 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 9 2 0. |
6397+4796 = | < scratch >
[6, 3, 9, 7] has 4 digits.
[4, 7, 9, 6] has 4 digits.
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[9] + [9] , C = 1, 9 + 9 + 1 = 19, A ->9, C -> 1
[3] + [7] , C = 1, 3 + 7 + 1 = 11, A ->1, C -> 1
[6] + [4] , C = 1, 6 + 4 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 1 9 3. |
7958+683 = | < scratch >
[7, 9, 5, 8] has 4 digits.
[6, 8, 3] has 3 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[5] + [8] , C = 1, 5 + 8 + 1 = 14, A ->4, C -> 1
[9] + [6] , C = 1, 9 + 6 + 1 = 16, A ->6, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 6 4 1. |
94+526 = | < scratch >
[9, 4] has 2 digits.
[5, 2, 6] has 3 digits.
[4] + [6] , C = 1, 4 + 6 + 1 = 10, A ->0, 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 0. |
95+86 = | < scratch >
[9, 5] has 2 digits.
[8, 6] has 2 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
</ scratch >
sum:1 8 1. |
3391+847 = | < scratch >
[3, 3, 9, 1] has 4 digits.
[8, 4, 7] has 3 digits.
[1] + [7] , C = 0, 1 + 7 + 0 = 8, A ->8, C -> 0
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[3] + [8] , C = 1, 3 + 8 + 1 = 12, A ->2, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 2 3 8. |
85+798 = | < scratch >
[8, 5] has 2 digits.
[7, 9, 8] has 3 digits.
[5] + [8] , C = 1, 5 + 8 + 1 = 13, A ->3, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
[0] + [7] , C = 0, 0 + 7 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 8 3. |
74+9476 = | < scratch >
[7, 4] has 2 digits.
[9, 4, 7, 6] has 4 digits.
[4] + [6] , C = 1, 4 + 6 + 1 = 10, A ->0, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, 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 5 0. |
52+248 = | < scratch >
[5, 2] has 2 digits.
[2, 4, 8] has 3 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[5] + [4] , C = 1, 5 + 4 + 1 = 10, A ->0, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 0 0. |
3169+4775 = | < scratch >
[3, 1, 6, 9] has 4 digits.
[4, 7, 7, 5] has 4 digits.
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[6] + [7] , C = 1, 6 + 7 + 1 = 14, A ->4, C -> 1
[1] + [7] , C = 0, 1 + 7 + 0 = 9, A ->9, C -> 0
[3] + [4] , C = 0, 3 + 4 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 9 4 4. |
4366+75 = | < scratch >
[4, 3, 6, 6] has 4 digits.
[7, 5] has 2 digits.
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[6] + [7] , C = 1, 6 + 7 + 1 = 14, A ->4, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
[4] + [0] , C = 0, 4 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 4 4 1. |
628+5878 = | < scratch >
[6, 2, 8] has 3 digits.
[5, 8, 7, 8] has 4 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 5 0 6. |
95+47 = | < scratch >
[9, 5] has 2 digits.
[4, 7] has 2 digits.
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[9] + [4] , C = 1, 9 + 4 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 2. |
1254+557 = | < scratch >
[1, 2, 5, 4] has 4 digits.
[5, 5, 7] has 3 digits.
[4] + [7] , C = 1, 4 + 7 + 1 = 11, A ->1, C -> 1
[5] + [5] , C = 1, 5 + 5 + 1 = 11, A ->1, C -> 1
[2] + [5] , C = 0, 2 + 5 + 0 = 8, A ->8, C -> 0
[1] + [0] , C = 0, 1 + 0 + 0 = 1, A ->1, C -> 0
</ scratch >
sum:1 8 1 1. |
9759+67 = | < scratch >
[9, 7, 5, 9] has 4 digits.
[6, 7] has 2 digits.
[9] + [7] , C = 1, 9 + 7 + 1 = 16, A ->6, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
[9] + [0] , C = 0, 9 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 8 2 6. |
93+99 = | < scratch >
[9, 3] has 2 digits.
[9, 9] has 2 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[9] + [9] , C = 1, 9 + 9 + 1 = 19, A ->9, C -> 1
</ scratch >
sum:1 9 2. |
885+162 = | < scratch >
[8, 8, 5] has 3 digits.
[1, 6, 2] has 3 digits.
[5] + [2] , C = 0, 5 + 2 + 0 = 7, A ->7, C -> 0
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[8] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 4 7. |
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