input stringlengths 6 12 | target stringlengths 117 294 |
|---|---|
3733+4369 = | < scratch >
[3, 7, 3, 3] has 4 digits.
[4, 3, 6, 9] has 4 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[3] + [6] , C = 1, 3 + 6 + 1 = 10, A ->0, C -> 1
[7] + [3] , C = 1, 7 + 3 + 1 = 11, A ->1, C -> 1
[3] + [4] , C = 0, 3 + 4 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 1 0 2. |
8347+5094 = | < scratch >
[8, 3, 4, 7] has 4 digits.
[5, 0, 9, 4] has 4 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, 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
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 4 4 1. |
469+854 = | < scratch >
[4, 6, 9] has 3 digits.
[8, 5, 4] has 3 digits.
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[6] + [5] , C = 1, 6 + 5 + 1 = 12, A ->2, C -> 1
[4] + [8] , C = 1, 4 + 8 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 2 3. |
959+58 = | < scratch >
[9, 5, 9] has 3 digits.
[5, 8] has 2 digits.
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[5] + [5] , C = 1, 5 + 5 + 1 = 11, A ->1, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 1 7. |
3629+2389 = | < scratch >
[3, 6, 2, 9] has 4 digits.
[2, 3, 8, 9] has 4 digits.
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[2] + [8] , C = 1, 2 + 8 + 1 = 11, A ->1, C -> 1
[6] + [3] , C = 1, 6 + 3 + 1 = 10, A ->0, C -> 1
[3] + [2] , C = 0, 3 + 2 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 1 8. |
88+97 = | < scratch >
[8, 8] has 2 digits.
[9, 7] has 2 digits.
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
</ scratch >
sum:1 8 5. |
315+819 = | < scratch >
[3, 1, 5] has 3 digits.
[8, 1, 9] has 3 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[1] + [1] , C = 0, 1 + 1 + 0 = 3, A ->3, C -> 0
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 3 4. |
9715+7307 = | < scratch >
[9, 7, 1, 5] has 4 digits.
[7, 3, 0, 7] has 4 digits.
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[9] + [7] , C = 1, 9 + 7 + 1 = 17, A ->7, C -> 1
</ scratch >
sum:1 7 0 2 2. |
5283+9089 = | < scratch >
[5, 2, 8, 3] has 4 digits.
[9, 0, 8, 9] has 4 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 3 7 2. |
5528+94 = | < scratch >
[5, 5, 2, 8] has 4 digits.
[9, 4] has 2 digits.
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[2] + [9] , C = 1, 2 + 9 + 1 = 12, A ->2, C -> 1
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
[5] + [0] , C = 0, 5 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 6 2 2. |
69+79 = | < scratch >
[6, 9] has 2 digits.
[7, 9] has 2 digits.
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[6] + [7] , C = 1, 6 + 7 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 8. |
8725+4607 = | < scratch >
[8, 7, 2, 5] has 4 digits.
[4, 6, 0, 7] has 4 digits.
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 3 3 2. |
520+488 = | < scratch >
[5, 2, 0] has 3 digits.
[4, 8, 8] has 3 digits.
[0] + [8] , C = 0, 0 + 8 + 0 = 8, A ->8, C -> 0
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[5] + [4] , C = 1, 5 + 4 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 8. |
37+95 = | < scratch >
[3, 7] has 2 digits.
[9, 5] has 2 digits.
[7] + [5] , C = 1, 7 + 5 + 1 = 12, A ->2, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 2. |
786+38 = | < scratch >
[7, 8, 6] has 3 digits.
[3, 8] has 2 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[8] + [3] , C = 1, 8 + 3 + 1 = 12, A ->2, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 2 4. |
67+3934 = | < scratch >
[6, 7] has 2 digits.
[3, 9, 3, 4] has 4 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[6] + [3] , C = 1, 6 + 3 + 1 = 10, A ->0, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 0 0 1. |
9575+7366 = | < scratch >
[9, 5, 7, 5] has 4 digits.
[7, 3, 6, 6] has 4 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[7] + [6] , C = 1, 7 + 6 + 1 = 14, A ->4, C -> 1
[5] + [3] , C = 0, 5 + 3 + 0 = 9, A ->9, C -> 0
[9] + [7] , C = 1, 9 + 7 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 9 4 1. |
3937+4285 = | < scratch >
[3, 9, 3, 7] has 4 digits.
[4, 2, 8, 5] has 4 digits.
[7] + [5] , C = 1, 7 + 5 + 1 = 12, A ->2, C -> 1
[3] + [8] , C = 1, 3 + 8 + 1 = 12, A ->2, C -> 1
[9] + [2] , C = 1, 9 + 2 + 1 = 12, A ->2, C -> 1
[3] + [4] , C = 0, 3 + 4 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 2 2 2. |
711+490 = | < scratch >
[7, 1, 1] has 3 digits.
[4, 9, 0] has 3 digits.
[1] + [0] , C = 0, 1 + 0 + 0 = 1, A ->1, C -> 0
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[7] + [4] , C = 1, 7 + 4 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 0 1. |
2153+569 = | < scratch >
[2, 1, 5, 3] has 4 digits.
[5, 6, 9] has 3 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
[1] + [5] , C = 0, 1 + 5 + 0 = 7, A ->7, C -> 0
[2] + [0] , C = 0, 2 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 7 2 2. |
99+4 = | < scratch >
[9, 9] has 2 digits.
[4] has 1 digits.
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 3. |
69+58 = | < scratch >
[6, 9] has 2 digits.
[5, 8] has 2 digits.
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[6] + [5] , C = 1, 6 + 5 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 7. |
85+546 = | < scratch >
[8, 5] has 2 digits.
[5, 4, 6] has 3 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 3 1. |
991+9581 = | < scratch >
[9, 9, 1] has 3 digits.
[9, 5, 8, 1] has 4 digits.
[1] + [1] , C = 0, 1 + 1 + 0 = 2, A ->2, C -> 0
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[9] + [5] , C = 1, 9 + 5 + 1 = 15, A ->5, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 5 7 2. |
909+96 = | < scratch >
[9, 0, 9] has 3 digits.
[9, 6] has 2 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
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 5. |
56+65 = | < scratch >
[5, 6] has 2 digits.
[6, 5] has 2 digits.
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 1. |
9328+182 = | < scratch >
[9, 3, 2, 8] has 4 digits.
[1, 8, 2] has 3 digits.
[8] + [2] , C = 1, 8 + 2 + 1 = 10, A ->0, C -> 1
[2] + [8] , C = 1, 2 + 8 + 1 = 11, A ->1, C -> 1
[3] + [1] , C = 0, 3 + 1 + 0 = 5, A ->5, C -> 0
[9] + [0] , C = 0, 9 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 5 1 0. |
8152+68 = | < scratch >
[8, 1, 5, 2] has 4 digits.
[6, 8] has 2 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
[8] + [0] , C = 0, 8 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 2 2 0. |
9163+8153 = | < scratch >
[9, 1, 6, 3] has 4 digits.
[8, 1, 5, 3] has 4 digits.
[3] + [3] , C = 0, 3 + 3 + 0 = 6, A ->6, C -> 0
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[1] + [1] , C = 0, 1 + 1 + 0 = 3, A ->3, C -> 0
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
</ scratch >
sum:1 7 3 1 6. |
7+95 = | < scratch >
[7] has 1 digits.
[9, 5] has 2 digits.
[7] + [5] , C = 1, 7 + 5 + 1 = 12, A ->2, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 2. |
2319+976 = | < scratch >
[2, 3, 1, 9] has 4 digits.
[9, 7, 6] has 3 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[1] + [7] , C = 0, 1 + 7 + 0 = 9, A ->9, C -> 0
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 2 9 5. |
3570+649 = | < scratch >
[3, 5, 7, 0] has 4 digits.
[6, 4, 9] has 3 digits.
[0] + [9] , C = 0, 0 + 9 + 0 = 9, A ->9, C -> 0
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, 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 1 9. |
335+999 = | < scratch >
[3, 3, 5] has 3 digits.
[9, 9, 9] has 3 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 3 4. |
75+85 = | < scratch >
[7, 5] has 2 digits.
[8, 5] has 2 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[7] + [8] , C = 1, 7 + 8 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 0. |
187+7383 = | < scratch >
[1, 8, 7] has 3 digits.
[7, 3, 8, 3] has 4 digits.
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
[1] + [3] , C = 0, 1 + 3 + 0 = 5, A ->5, C -> 0
[0] + [7] , C = 0, 0 + 7 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 5 7 0. |
68+63 = | < scratch >
[6, 8] has 2 digits.
[6, 3] has 2 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 1. |
366+3276 = | < scratch >
[3, 6, 6] has 3 digits.
[3, 2, 7, 6] has 4 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[6] + [7] , C = 1, 6 + 7 + 1 = 14, A ->4, C -> 1
[3] + [2] , C = 0, 3 + 2 + 0 = 6, A ->6, C -> 0
[0] + [3] , C = 0, 0 + 3 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 6 4 2. |
98+608 = | < scratch >
[9, 8] has 2 digits.
[6, 0, 8] has 3 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 0 6. |
4892+178 = | < scratch >
[4, 8, 9, 2] has 4 digits.
[1, 7, 8] has 3 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] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 0 7 0. |
7989+986 = | < scratch >
[7, 9, 8, 9] has 4 digits.
[9, 8, 6] has 3 digits.
[9] + [6] , C = 1, 9 + 6 + 1 = 15, A ->5, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
[9] + [9] , C = 1, 9 + 9 + 1 = 19, A ->9, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 9 7 5. |
88+92 = | < scratch >
[8, 8] has 2 digits.
[9, 2] has 2 digits.
[8] + [2] , C = 1, 8 + 2 + 1 = 10, A ->0, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
</ scratch >
sum:1 8 0. |
9286+656 = | < scratch >
[9, 2, 8, 6] has 4 digits.
[6, 5, 6] has 3 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, 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
[9] + [0] , C = 0, 9 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 9 4 2. |
8889+82 = | < scratch >
[8, 8, 8, 9] has 4 digits.
[8, 2] has 2 digits.
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
[8] + [0] , C = 0, 8 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 9 7 1. |
1693+9811 = | < scratch >
[1, 6, 9, 3] has 4 digits.
[9, 8, 1, 1] has 4 digits.
[3] + [1] , C = 0, 3 + 1 + 0 = 4, A ->4, C -> 0
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 5 0 4. |
5757+6572 = | < scratch >
[5, 7, 5, 7] has 4 digits.
[6, 5, 7, 2] has 4 digits.
[7] + [2] , C = 0, 7 + 2 + 0 = 9, A ->9, C -> 0
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 3 2 9. |
53+587 = | < scratch >
[5, 3] has 2 digits.
[5, 8, 7] has 3 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, 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 0. |
554+397 = | < scratch >
[5, 5, 4] has 3 digits.
[3, 9, 7] has 3 digits.
[4] + [7] , C = 1, 4 + 7 + 1 = 11, A ->1, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
[5] + [3] , C = 0, 5 + 3 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 5 1. |
89+185 = | < scratch >
[8, 9] has 2 digits.
[1, 8, 5] has 3 digits.
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 7 4. |
37+565 = | < scratch >
[3, 7] has 2 digits.
[5, 6, 5] has 3 digits.
[7] + [5] , C = 1, 7 + 5 + 1 = 12, A ->2, 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
</ scratch >
sum:6 0 2. |
79+51 = | < scratch >
[7, 9] has 2 digits.
[5, 1] has 2 digits.
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 0. |
976+3147 = | < scratch >
[9, 7, 6] has 3 digits.
[3, 1, 4, 7] has 4 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[7] + [4] , C = 1, 7 + 4 + 1 = 12, A ->2, C -> 1
[9] + [1] , C = 1, 9 + 1 + 1 = 11, A ->1, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 1 2 3. |
6474+98 = | < scratch >
[6, 4, 7, 4] has 4 digits.
[9, 8] has 2 digits.
[4] + [8] , C = 1, 4 + 8 + 1 = 12, A ->2, C -> 1
[7] + [9] , C = 1, 7 + 9 + 1 = 17, A ->7, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
[6] + [0] , C = 0, 6 + 0 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 5 7 2. |
39+473 = | < scratch >
[3, 9] has 2 digits.
[4, 7, 3] has 3 digits.
[9] + [3] , C = 1, 9 + 3 + 1 = 12, A ->2, C -> 1
[3] + [7] , C = 1, 3 + 7 + 1 = 11, A ->1, C -> 1
[0] + [4] , C = 0, 0 + 4 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 1 2. |
3511+399 = | < scratch >
[3, 5, 1, 1] has 4 digits.
[3, 9, 9] has 3 digits.
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, C -> 1
[5] + [3] , C = 0, 5 + 3 + 0 = 9, A ->9, C -> 0
[3] + [0] , C = 0, 3 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 9 1 0. |
777+5278 = | < scratch >
[7, 7, 7] has 3 digits.
[5, 2, 7, 8] has 4 digits.
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, C -> 1
[7] + [2] , C = 1, 7 + 2 + 1 = 10, A ->0, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 5 5. |
108+5968 = | < scratch >
[1, 0, 8] has 3 digits.
[5, 9, 6, 8] has 4 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 7 6. |
2852+309 = | < scratch >
[2, 8, 5, 2] has 4 digits.
[3, 0, 9] has 3 digits.
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 1 6 1. |
96+2494 = | < scratch >
[9, 6] has 2 digits.
[2, 4, 9, 4] has 4 digits.
[6] + [4] , C = 1, 6 + 4 + 1 = 10, A ->0, C -> 1
[9] + [9] , C = 1, 9 + 9 + 1 = 19, A ->9, C -> 1
[0] + [4] , C = 0, 0 + 4 + 0 = 5, A ->5, C -> 0
[0] + [2] , C = 0, 0 + 2 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 5 9 0. |
42+69 = | < scratch >
[4, 2] has 2 digits.
[6, 9] has 2 digits.
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 1. |
173+2679 = | < scratch >
[1, 7, 3] has 3 digits.
[2, 6, 7, 9] has 4 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, C -> 1
[1] + [6] , C = 0, 1 + 6 + 0 = 8, A ->8, C -> 0
[0] + [2] , C = 0, 0 + 2 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 8 5 2. |
72+358 = | < scratch >
[7, 2] has 2 digits.
[3, 5, 8] has 3 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, C -> 1
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 3 0. |
479+595 = | < scratch >
[4, 7, 9] has 3 digits.
[5, 9, 5] has 3 digits.
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[7] + [9] , C = 1, 7 + 9 + 1 = 17, A ->7, C -> 1
[4] + [5] , C = 1, 4 + 5 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 7 4. |
574+983 = | < scratch >
[5, 7, 4] has 3 digits.
[9, 8, 3] has 3 digits.
[4] + [3] , C = 0, 4 + 3 + 0 = 7, A ->7, C -> 0
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 5 7. |
97+2209 = | < scratch >
[9, 7] has 2 digits.
[2, 2, 0, 9] has 4 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, 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
[0] + [2] , C = 0, 0 + 2 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 3 0 6. |
967+70 = | < scratch >
[9, 6, 7] has 3 digits.
[7, 0] has 2 digits.
[7] + [0] , C = 0, 7 + 0 + 0 = 7, A ->7, C -> 0
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 3 7. |
3843+5829 = | < scratch >
[3, 8, 4, 3] has 4 digits.
[5, 8, 2, 9] has 4 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[4] + [2] , C = 0, 4 + 2 + 0 = 7, A ->7, C -> 0
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[3] + [5] , C = 0, 3 + 5 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 6 7 2. |
9+3492 = | < scratch >
[9] has 1 digits.
[3, 4, 9, 2] has 4 digits.
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, 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] + [3] , C = 0, 0 + 3 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 5 0 1. |
989+5259 = | < scratch >
[9, 8, 9] has 3 digits.
[5, 2, 5, 9] has 4 digits.
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[8] + [5] , C = 1, 8 + 5 + 1 = 14, A ->4, 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 4 8. |
89+72 = | < scratch >
[8, 9] has 2 digits.
[7, 2] has 2 digits.
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[8] + [7] , C = 1, 8 + 7 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 1. |
567+93 = | < scratch >
[5, 6, 7] has 3 digits.
[9, 3] has 2 digits.
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 6 0. |
2948+68 = | < scratch >
[2, 9, 4, 8] has 4 digits.
[6, 8] has 2 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, 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 1 6. |
8+95 = | < scratch >
[8] has 1 digits.
[9, 5] has 2 digits.
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 3. |
348+823 = | < scratch >
[3, 4, 8] has 3 digits.
[8, 2, 3] has 3 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[4] + [2] , C = 0, 4 + 2 + 0 = 7, A ->7, C -> 0
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 7 1. |
948+2209 = | < scratch >
[9, 4, 8] has 3 digits.
[2, 2, 0, 9] has 4 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 1 5 7. |
1324+883 = | < scratch >
[1, 3, 2, 4] has 4 digits.
[8, 8, 3] has 3 digits.
[4] + [3] , C = 0, 4 + 3 + 0 = 7, A ->7, C -> 0
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, 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 0 7. |
99+7 = | < scratch >
[9, 9] has 2 digits.
[7] has 1 digits.
[9] + [7] , C = 1, 9 + 7 + 1 = 16, A ->6, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 6. |
643+79 = | < scratch >
[6, 4, 3] has 3 digits.
[7, 9] has 2 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 2 2. |
332+78 = | < scratch >
[3, 3, 2] has 3 digits.
[7, 8] has 2 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
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 1 0. |
8625+5247 = | < scratch >
[8, 6, 2, 5] has 4 digits.
[5, 2, 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
[6] + [2] , C = 0, 6 + 2 + 0 = 8, A ->8, C -> 0
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 8 7 2. |
2777+2668 = | < scratch >
[2, 7, 7, 7] has 4 digits.
[2, 6, 6, 8] has 4 digits.
[7] + [8] , C = 1, 7 + 8 + 1 = 15, A ->5, C -> 1
[7] + [6] , C = 1, 7 + 6 + 1 = 14, A ->4, C -> 1
[7] + [6] , C = 1, 7 + 6 + 1 = 14, A ->4, C -> 1
[2] + [2] , C = 0, 2 + 2 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 4 4 5. |
659+2169 = | < scratch >
[6, 5, 9] has 3 digits.
[2, 1, 6, 9] has 4 digits.
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
[6] + [1] , C = 0, 6 + 1 + 0 = 8, A ->8, C -> 0
[0] + [2] , C = 0, 0 + 2 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 8 2 8. |
7397+3 = | < scratch >
[7, 3, 9, 7] has 4 digits.
[3] has 1 digits.
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, 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
[7] + [0] , C = 0, 7 + 0 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 4 0 0. |
78+3852 = | < scratch >
[7, 8] has 2 digits.
[3, 8, 5, 2] has 4 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
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
[0] + [3] , C = 0, 0 + 3 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 9 3 0. |
372+974 = | < scratch >
[3, 7, 2] has 3 digits.
[9, 7, 4] has 3 digits.
[2] + [4] , C = 0, 2 + 4 + 0 = 6, A ->6, C -> 0
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 4 6. |
68+99 = | < scratch >
[6, 8] has 2 digits.
[9, 9] has 2 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 7. |
8634+683 = | < scratch >
[8, 6, 3, 4] has 4 digits.
[6, 8, 3] has 3 digits.
[4] + [3] , C = 0, 4 + 3 + 0 = 7, A ->7, C -> 0
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, 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
</ scratch >
sum:9 3 1 7. |
3297+812 = | < scratch >
[3, 2, 9, 7] has 4 digits.
[8, 1, 2] has 3 digits.
[7] + [2] , C = 0, 7 + 2 + 0 = 9, A ->9, C -> 0
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[2] + [8] , C = 1, 2 + 8 + 1 = 11, A ->1, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 1 0 9. |
8739+3301 = | < scratch >
[8, 7, 3, 9] has 4 digits.
[3, 3, 0, 1] has 4 digits.
[9] + [1] , C = 1, 9 + 1 + 1 = 10, A ->0, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[8] + [3] , C = 1, 8 + 3 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 0 4 0. |
666+9385 = | < scratch >
[6, 6, 6] has 3 digits.
[9, 3, 8, 5] has 4 digits.
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, 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
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 5 1. |
5785+262 = | < scratch >
[5, 7, 8, 5] has 4 digits.
[2, 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
[7] + [2] , C = 1, 7 + 2 + 1 = 10, A ->0, C -> 1
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 4 7. |
4789+7760 = | < scratch >
[4, 7, 8, 9] has 4 digits.
[7, 7, 6, 0] has 4 digits.
[9] + [0] , C = 0, 9 + 0 + 0 = 9, A ->9, C -> 0
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 5 4 9. |
68+966 = | < scratch >
[6, 8] has 2 digits.
[9, 6, 6] has 3 digits.
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 3 4. |
5158+9758 = | < scratch >
[5, 1, 5, 8] has 4 digits.
[9, 7, 5, 8] has 4 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[5] + [5] , C = 1, 5 + 5 + 1 = 11, A ->1, C -> 1
[1] + [7] , C = 0, 1 + 7 + 0 = 9, A ->9, C -> 0
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 9 1 6. |
895+295 = | < scratch >
[8, 9, 5] has 3 digits.
[2, 9, 5] has 3 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[9] + [9] , C = 1, 9 + 9 + 1 = 19, A ->9, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 9 0. |
828+7503 = | < scratch >
[8, 2, 8] has 3 digits.
[7, 5, 0, 3] has 4 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[0] + [7] , C = 0, 0 + 7 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 3 3 1. |
4979+94 = | < scratch >
[4, 9, 7, 9] has 4 digits.
[9, 4] has 2 digits.
[9] + [4] , C = 1, 9 + 4 + 1 = 13, A ->3, 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
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 0 7 3. |
5867+8724 = | < scratch >
[5, 8, 6, 7] has 4 digits.
[8, 7, 2, 4] has 4 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[6] + [2] , C = 0, 6 + 2 + 0 = 9, A ->9, C -> 0
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[5] + [8] , C = 1, 5 + 8 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 5 9 1. |
5698+9 = | < scratch >
[5, 6, 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
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
[5] + [0] , C = 0, 5 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 7 0 7. |
77+930 = | < scratch >
[7, 7] has 2 digits.
[9, 3, 0] has 3 digits.
[7] + [0] , C = 0, 7 + 0 + 0 = 7, A ->7, C -> 0
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 7. |
92+478 = | < scratch >
[9, 2] has 2 digits.
[4, 7, 8] has 3 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
[0] + [4] , C = 0, 0 + 4 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 7 0. |
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