input stringlengths 6 12 | target stringlengths 117 294 |
|---|---|
87+684 = | < scratch >
[8, 7] has 2 digits.
[6, 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
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 7 1. |
460+989 = | < scratch >
[4, 6, 0] has 3 digits.
[9, 8, 9] has 3 digits.
[0] + [9] , C = 0, 0 + 9 + 0 = 9, A ->9, C -> 0
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[4] + [9] , C = 1, 4 + 9 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 4 9. |
789+17 = | < scratch >
[7, 8, 9] has 3 digits.
[1, 7] has 2 digits.
[9] + [7] , C = 1, 9 + 7 + 1 = 16, A ->6, C -> 1
[8] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 0 6. |
765+236 = | < scratch >
[7, 6, 5] has 3 digits.
[2, 3, 6] has 3 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[6] + [3] , C = 1, 6 + 3 + 1 = 10, A ->0, C -> 1
[7] + [2] , C = 1, 7 + 2 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 1. |
99+8 = | < scratch >
[9, 9] has 2 digits.
[8] has 1 digits.
[9] + [8] , C = 1, 9 + 8 + 1 = 17, A ->7, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 7. |
7+796 = | < scratch >
[7] has 1 digits.
[7, 9, 6] has 3 digits.
[7] + [6] , C = 1, 7 + 6 + 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. |
638+66 = | < scratch >
[6, 3, 8] has 3 digits.
[6, 6] has 2 digits.
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[3] + [6] , C = 1, 3 + 6 + 1 = 10, A ->0, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 0 4. |
254+6791 = | < scratch >
[2, 5, 4] has 3 digits.
[6, 7, 9, 1] has 4 digits.
[4] + [1] , C = 0, 4 + 1 + 0 = 5, A ->5, C -> 0
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 0 4 5. |
3677+37 = | < scratch >
[3, 6, 7, 7] has 4 digits.
[3, 7] has 2 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[7] + [3] , C = 1, 7 + 3 + 1 = 11, A ->1, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
[3] + [0] , C = 0, 3 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 7 1 4. |
486+7346 = | < scratch >
[4, 8, 6] has 3 digits.
[7, 3, 4, 6] has 4 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
[4] + [3] , C = 0, 4 + 3 + 0 = 8, A ->8, C -> 0
[0] + [7] , C = 0, 0 + 7 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 8 3 2. |
918+3977 = | < scratch >
[9, 1, 8] has 3 digits.
[3, 9, 7, 7] has 4 digits.
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[1] + [7] , C = 0, 1 + 7 + 0 = 9, A ->9, C -> 0
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 8 9 5. |
4726+9118 = | < scratch >
[4, 7, 2, 6] has 4 digits.
[9, 1, 1, 8] has 4 digits.
[6] + [8] , C = 1, 6 + 8 + 1 = 14, A ->4, C -> 1
[2] + [1] , C = 0, 2 + 1 + 0 = 4, A ->4, C -> 0
[7] + [1] , C = 0, 7 + 1 + 0 = 8, A ->8, C -> 0
[4] + [9] , C = 1, 4 + 9 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 8 4 4. |
44+657 = | < scratch >
[4, 4] has 2 digits.
[6, 5, 7] has 3 digits.
[4] + [7] , C = 1, 4 + 7 + 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. |
5255+66 = | < scratch >
[5, 2, 5, 5] has 4 digits.
[6, 6] has 2 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
[5] + [0] , C = 0, 5 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 3 2 1. |
598+489 = | < scratch >
[5, 9, 8] has 3 digits.
[4, 8, 9] has 3 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
[5] + [4] , C = 1, 5 + 4 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 8 7. |
998+3668 = | < scratch >
[9, 9, 8] has 3 digits.
[3, 6, 6, 8] has 4 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[9] + [6] , C = 1, 9 + 6 + 1 = 16, A ->6, 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 6 6. |
2093+9 = | < scratch >
[2, 0, 9, 3] has 4 digits.
[9] has 1 digits.
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
[0] + [0] , C = 0, 0 + 0 + 0 = 1, A ->1, C -> 0
[2] + [0] , C = 0, 2 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 1 0 2. |
568+136 = | < scratch >
[5, 6, 8] has 3 digits.
[1, 3, 6] has 3 digits.
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[6] + [3] , C = 1, 6 + 3 + 1 = 10, A ->0, C -> 1
[5] + [1] , C = 0, 5 + 1 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 0 4. |
67+96 = | < scratch >
[6, 7] has 2 digits.
[9, 6] has 2 digits.
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[6] + [9] , C = 1, 6 + 9 + 1 = 16, A ->6, C -> 1
</ scratch >
sum:1 6 3. |
2567+584 = | < scratch >
[2, 5, 6, 7] has 4 digits.
[5, 8, 4] has 3 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
[5] + [5] , C = 1, 5 + 5 + 1 = 11, A ->1, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 1 5 1. |
78+24 = | < scratch >
[7, 8] has 2 digits.
[2, 4] has 2 digits.
[8] + [4] , C = 1, 8 + 4 + 1 = 12, A ->2, C -> 1
[7] + [2] , C = 1, 7 + 2 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 2. |
517+826 = | < scratch >
[5, 1, 7] has 3 digits.
[8, 2, 6] has 3 digits.
[7] + [6] , C = 1, 7 + 6 + 1 = 13, A ->3, C -> 1
[1] + [2] , C = 0, 1 + 2 + 0 = 4, A ->4, C -> 0
[5] + [8] , C = 1, 5 + 8 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 4 3. |
63+38 = | < scratch >
[6, 3] has 2 digits.
[3, 8] has 2 digits.
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[6] + [3] , C = 1, 6 + 3 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 1. |
68+655 = | < scratch >
[6, 8] has 2 digits.
[6, 5, 5] has 3 digits.
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[6] + [5] , C = 1, 6 + 5 + 1 = 12, A ->2, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 2 3. |
8454+6841 = | < scratch >
[8, 4, 5, 4] has 4 digits.
[6, 8, 4, 1] has 4 digits.
[4] + [1] , C = 0, 4 + 1 + 0 = 5, A ->5, C -> 0
[5] + [4] , C = 0, 5 + 4 + 0 = 9, A ->9, C -> 0
[4] + [8] , C = 1, 4 + 8 + 1 = 12, A ->2, C -> 1
[8] + [6] , C = 1, 8 + 6 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 2 9 5. |
588+13 = | < scratch >
[5, 8, 8] has 3 digits.
[1, 3] has 2 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[8] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, C -> 1
[5] + [0] , C = 0, 5 + 0 + 0 = 6, A ->6, C -> 0
</ scratch >
sum:6 0 1. |
96+3046 = | < scratch >
[9, 6] has 2 digits.
[3, 0, 4, 6] has 4 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[9] + [4] , C = 1, 9 + 4 + 1 = 14, A ->4, C -> 1
[0] + [0] , C = 0, 0 + 0 + 0 = 1, A ->1, C -> 0
[0] + [3] , C = 0, 0 + 3 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 1 4 2. |
75+985 = | < scratch >
[7, 5] has 2 digits.
[9, 8, 5] has 3 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
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 6 0. |
59+869 = | < scratch >
[5, 9] has 2 digits.
[8, 6, 9] has 3 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
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 2 8. |
4733+3270 = | < scratch >
[4, 7, 3, 3] has 4 digits.
[3, 2, 7, 0] has 4 digits.
[3] + [0] , C = 0, 3 + 0 + 0 = 3, A ->3, C -> 0
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[7] + [2] , C = 1, 7 + 2 + 1 = 10, A ->0, C -> 1
[4] + [3] , C = 0, 4 + 3 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 0 0 3. |
275+833 = | < scratch >
[2, 7, 5] has 3 digits.
[8, 3, 3] has 3 digits.
[5] + [3] , C = 0, 5 + 3 + 0 = 8, A ->8, C -> 0
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[2] + [8] , C = 1, 2 + 8 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 0 8. |
8253+9762 = | < scratch >
[8, 2, 5, 3] has 4 digits.
[9, 7, 6, 2] has 4 digits.
[3] + [2] , C = 0, 3 + 2 + 0 = 5, A ->5, C -> 0
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
[8] + [9] , C = 1, 8 + 9 + 1 = 18, A ->8, C -> 1
</ scratch >
sum:1 8 0 1 5. |
78+4895 = | < scratch >
[7, 8] has 2 digits.
[4, 8, 9, 5] has 4 digits.
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[7] + [9] , C = 1, 7 + 9 + 1 = 17, A ->7, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
[0] + [4] , C = 0, 0 + 4 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 9 7 3. |
8239+294 = | < scratch >
[8, 2, 3, 9] has 4 digits.
[2, 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
[2] + [2] , C = 0, 2 + 2 + 0 = 5, A ->5, C -> 0
[8] + [0] , C = 0, 8 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 5 3 3. |
266+949 = | < scratch >
[2, 6, 6] has 3 digits.
[9, 4, 9] has 3 digits.
[6] + [9] , C = 1, 6 + 9 + 1 = 15, A ->5, C -> 1
[6] + [4] , C = 1, 6 + 4 + 1 = 11, A ->1, C -> 1
[2] + [9] , C = 1, 2 + 9 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 1 5. |
3737+595 = | < scratch >
[3, 7, 3, 7] has 4 digits.
[5, 9, 5] has 3 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
[7] + [5] , C = 1, 7 + 5 + 1 = 13, A ->3, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 3 3 2. |
692+8 = | < scratch >
[6, 9, 2] has 3 digits.
[8] has 1 digits.
[2] + [8] , C = 1, 2 + 8 + 1 = 10, A ->0, 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 0. |
788+415 = | < scratch >
[7, 8, 8] has 3 digits.
[4, 1, 5] has 3 digits.
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[8] + [1] , C = 1, 8 + 1 + 1 = 10, A ->0, C -> 1
[7] + [4] , C = 1, 7 + 4 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 0 3. |
87+54 = | < scratch >
[8, 7] has 2 digits.
[5, 4] has 2 digits.
[7] + [4] , C = 1, 7 + 4 + 1 = 11, A ->1, C -> 1
[8] + [5] , C = 1, 8 + 5 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 1. |
8190+9190 = | < scratch >
[8, 1, 9, 0] has 4 digits.
[9, 1, 9, 0] has 4 digits.
[0] + [0] , C = 0, 0 + 0 + 0 = 0, A ->0, C -> 0
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[1] + [1] , C = 0, 1 + 1 + 0 = 3, A ->3, C -> 0
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
</ scratch >
sum:1 7 3 8 0. |
735+1359 = | < scratch >
[7, 3, 5] has 3 digits.
[1, 3, 5, 9] has 4 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[3] + [5] , C = 0, 3 + 5 + 0 = 9, A ->9, C -> 0
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 0 9 4. |
1915+95 = | < scratch >
[1, 9, 1, 5] has 4 digits.
[9, 5] has 2 digits.
[5] + [5] , C = 1, 5 + 5 + 1 = 10, A ->0, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, 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
</ scratch >
sum:2 0 1 0. |
757+737 = | < scratch >
[7, 5, 7] has 3 digits.
[7, 3, 7] has 3 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[5] + [3] , C = 0, 5 + 3 + 0 = 9, A ->9, C -> 0
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 9 4. |
808+8718 = | < scratch >
[8, 0, 8] has 3 digits.
[8, 7, 1, 8] has 4 digits.
[8] + [8] , C = 1, 8 + 8 + 1 = 16, A ->6, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
[8] + [7] , C = 1, 8 + 7 + 1 = 15, A ->5, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 5 2 6. |
77+178 = | < scratch >
[7, 7] has 2 digits.
[1, 7, 8] has 3 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
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 5 5. |
55+96 = | < scratch >
[5, 5] has 2 digits.
[9, 6] has 2 digits.
[5] + [6] , C = 1, 5 + 6 + 1 = 11, A ->1, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 1. |
3658+49 = | < scratch >
[3, 6, 5, 8] has 4 digits.
[4, 9] has 2 digits.
[8] + [9] , C = 1, 8 + 9 + 1 = 17, A ->7, C -> 1
[5] + [4] , C = 1, 5 + 4 + 1 = 10, A ->0, C -> 1
[6] + [0] , C = 0, 6 + 0 + 0 = 7, A ->7, C -> 0
[3] + [0] , C = 0, 3 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 7 0 7. |
758+96 = | < scratch >
[7, 5, 8] has 3 digits.
[9, 6] has 2 digits.
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 5 4. |
8079+3137 = | < scratch >
[8, 0, 7, 9] has 4 digits.
[3, 1, 3, 7] has 4 digits.
[9] + [7] , C = 1, 9 + 7 + 1 = 16, A ->6, C -> 1
[7] + [3] , C = 1, 7 + 3 + 1 = 11, A ->1, C -> 1
[0] + [1] , C = 0, 0 + 1 + 0 = 2, A ->2, C -> 0
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 2 1 6. |
392+99 = | < scratch >
[3, 9, 2] has 3 digits.
[9, 9] has 2 digits.
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[9] + [9] , C = 1, 9 + 9 + 1 = 19, A ->9, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 9 1. |
986+87 = | < scratch >
[9, 8, 6] has 3 digits.
[8, 7] has 2 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 7 3. |
24+96 = | < scratch >
[2, 4] has 2 digits.
[9, 6] has 2 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
</ scratch >
sum:1 2 0. |
3774+466 = | < scratch >
[3, 7, 7, 4] has 4 digits.
[4, 6, 6] has 3 digits.
[4] + [6] , C = 1, 4 + 6 + 1 = 10, A ->0, C -> 1
[7] + [6] , C = 1, 7 + 6 + 1 = 14, A ->4, C -> 1
[7] + [4] , C = 1, 7 + 4 + 1 = 12, A ->2, C -> 1
[3] + [0] , C = 0, 3 + 0 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 2 4 0. |
9158+893 = | < scratch >
[9, 1, 5, 8] has 4 digits.
[8, 9, 3] has 3 digits.
[8] + [3] , C = 1, 8 + 3 + 1 = 11, A ->1, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 0 5 1. |
92+9 = | < scratch >
[9, 2] has 2 digits.
[9] has 1 digits.
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[9] + [0] , C = 1, 9 + 0 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 1. |
3262+3749 = | < scratch >
[3, 2, 6, 2] has 4 digits.
[3, 7, 4, 9] has 4 digits.
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[6] + [4] , C = 1, 6 + 4 + 1 = 11, A ->1, C -> 1
[2] + [7] , C = 1, 2 + 7 + 1 = 10, A ->0, C -> 1
[3] + [3] , C = 0, 3 + 3 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 0 1 1. |
87+1585 = | < scratch >
[8, 7] has 2 digits.
[1, 5, 8, 5] has 4 digits.
[7] + [5] , C = 1, 7 + 5 + 1 = 12, A ->2, C -> 1
[8] + [8] , C = 1, 8 + 8 + 1 = 17, A ->7, C -> 1
[0] + [5] , C = 0, 0 + 5 + 0 = 6, A ->6, C -> 0
[0] + [1] , C = 0, 0 + 1 + 0 = 1, A ->1, C -> 0
</ scratch >
sum:1 6 7 2. |
6199+7889 = | < scratch >
[6, 1, 9, 9] has 4 digits.
[7, 8, 8, 9] has 4 digits.
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
[1] + [8] , C = 1, 1 + 8 + 1 = 10, A ->0, C -> 1
[6] + [7] , C = 1, 6 + 7 + 1 = 14, A ->4, C -> 1
</ scratch >
sum:1 4 0 8 8. |
427+4399 = | < scratch >
[4, 2, 7] has 3 digits.
[4, 3, 9, 9] has 4 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[2] + [9] , C = 1, 2 + 9 + 1 = 12, A ->2, C -> 1
[4] + [3] , C = 0, 4 + 3 + 0 = 8, A ->8, C -> 0
[0] + [4] , C = 0, 0 + 4 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 8 2 6. |
52+99 = | < scratch >
[5, 2] has 2 digits.
[9, 9] has 2 digits.
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[5] + [9] , C = 1, 5 + 9 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 1. |
63+87 = | < scratch >
[6, 3] has 2 digits.
[8, 7] has 2 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 0. |
9696+9 = | < scratch >
[9, 6, 9, 6] has 4 digits.
[9] has 1 digits.
[6] + [9] , C = 1, 6 + 9 + 1 = 15, A ->5, 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
[9] + [0] , C = 0, 9 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 7 0 5. |
1706+377 = | < scratch >
[1, 7, 0, 6] has 4 digits.
[3, 7, 7] has 3 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[0] + [7] , C = 0, 0 + 7 + 0 = 8, A ->8, C -> 0
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 0 8 3. |
3177+1277 = | < scratch >
[3, 1, 7, 7] has 4 digits.
[1, 2, 7, 7] has 4 digits.
[7] + [7] , C = 1, 7 + 7 + 1 = 14, A ->4, C -> 1
[7] + [7] , C = 1, 7 + 7 + 1 = 15, A ->5, C -> 1
[1] + [2] , C = 0, 1 + 2 + 0 = 4, A ->4, C -> 0
[3] + [1] , C = 0, 3 + 1 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 4 5 4. |
61+950 = | < scratch >
[6, 1] has 2 digits.
[9, 5, 0] has 3 digits.
[1] + [0] , C = 0, 1 + 0 + 0 = 1, A ->1, C -> 0
[6] + [5] , C = 1, 6 + 5 + 1 = 11, A ->1, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 1 1. |
53+48 = | < scratch >
[5, 3] has 2 digits.
[4, 8] has 2 digits.
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[5] + [4] , C = 1, 5 + 4 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 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. |
649+8702 = | < scratch >
[6, 4, 9] has 3 digits.
[8, 7, 0, 2] has 4 digits.
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 3 5 1. |
486+726 = | < scratch >
[4, 8, 6] has 3 digits.
[7, 2, 6] has 3 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 1 2. |
36+296 = | < scratch >
[3, 6] has 2 digits.
[2, 9, 6] has 3 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 3 2. |
198+722 = | < scratch >
[1, 9, 8] has 3 digits.
[7, 2, 2] has 3 digits.
[8] + [2] , C = 1, 8 + 2 + 1 = 10, A ->0, C -> 1
[9] + [2] , C = 1, 9 + 2 + 1 = 12, A ->2, C -> 1
[1] + [7] , C = 0, 1 + 7 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 2 0. |
7891+795 = | < scratch >
[7, 8, 9, 1] has 4 digits.
[7, 9, 5] has 3 digits.
[1] + [5] , C = 0, 1 + 5 + 0 = 6, A ->6, C -> 0
[9] + [9] , C = 1, 9 + 9 + 1 = 18, A ->8, C -> 1
[8] + [7] , C = 1, 8 + 7 + 1 = 16, A ->6, C -> 1
[7] + [0] , C = 0, 7 + 0 + 0 = 8, A ->8, C -> 0
</ scratch >
sum:8 6 8 6. |
4488+6560 = | < scratch >
[4, 4, 8, 8] has 4 digits.
[6, 5, 6, 0] has 4 digits.
[8] + [0] , C = 0, 8 + 0 + 0 = 8, A ->8, C -> 0
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[4] + [5] , C = 1, 4 + 5 + 1 = 10, A ->0, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 0 4 8. |
3298+16 = | < scratch >
[3, 2, 9, 8] has 4 digits.
[1, 6] has 2 digits.
[8] + [6] , C = 1, 8 + 6 + 1 = 14, A ->4, C -> 1
[9] + [1] , C = 1, 9 + 1 + 1 = 11, A ->1, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
[3] + [0] , C = 0, 3 + 0 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 3 1 4. |
8+5697 = | < scratch >
[8] has 1 digits.
[5, 6, 9, 7] has 4 digits.
[8] + [7] , C = 1, 8 + 7 + 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] + [5] , C = 0, 0 + 5 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 7 0 5. |
8797+4919 = | < scratch >
[8, 7, 9, 7] has 4 digits.
[4, 9, 1, 9] has 4 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[9] + [1] , C = 1, 9 + 1 + 1 = 11, A ->1, C -> 1
[7] + [9] , C = 1, 7 + 9 + 1 = 17, A ->7, C -> 1
[8] + [4] , C = 1, 8 + 4 + 1 = 13, A ->3, C -> 1
</ scratch >
sum:1 3 7 1 6. |
5203+98 = | < scratch >
[5, 2, 0, 3] has 4 digits.
[9, 8] has 2 digits.
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
[2] + [0] , C = 0, 2 + 0 + 0 = 3, A ->3, C -> 0
[5] + [0] , C = 0, 5 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 3 0 1. |
7217+4913 = | < scratch >
[7, 2, 1, 7] has 4 digits.
[4, 9, 1, 3] has 4 digits.
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[1] + [1] , C = 0, 1 + 1 + 0 = 3, A ->3, C -> 0
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[7] + [4] , C = 1, 7 + 4 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 1 3 0. |
855+65 = | < scratch >
[8, 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
[8] + [0] , C = 0, 8 + 0 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 2 0. |
867+6739 = | < scratch >
[8, 6, 7] has 3 digits.
[6, 7, 3, 9] has 4 digits.
[7] + [9] , C = 1, 7 + 9 + 1 = 16, A ->6, C -> 1
[6] + [3] , C = 1, 6 + 3 + 1 = 10, A ->0, C -> 1
[8] + [7] , C = 1, 8 + 7 + 1 = 16, A ->6, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 6 0 6. |
8+895 = | < scratch >
[8] has 1 digits.
[8, 9, 5] has 3 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
[0] + [8] , C = 0, 0 + 8 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 0 3. |
336+2827 = | < scratch >
[3, 3, 6] has 3 digits.
[2, 8, 2, 7] has 4 digits.
[6] + [7] , C = 1, 6 + 7 + 1 = 13, A ->3, C -> 1
[3] + [2] , C = 0, 3 + 2 + 0 = 6, A ->6, C -> 0
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 1 6 3. |
5479+37 = | < scratch >
[5, 4, 7, 9] has 4 digits.
[3, 7] has 2 digits.
[9] + [7] , C = 1, 9 + 7 + 1 = 16, A ->6, C -> 1
[7] + [3] , C = 1, 7 + 3 + 1 = 11, A ->1, C -> 1
[4] + [0] , C = 0, 4 + 0 + 0 = 5, A ->5, C -> 0
[5] + [0] , C = 0, 5 + 0 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 5 1 6. |
65+3477 = | < scratch >
[6, 5] has 2 digits.
[3, 4, 7, 7] has 4 digits.
[5] + [7] , C = 1, 5 + 7 + 1 = 12, A ->2, C -> 1
[6] + [7] , C = 1, 6 + 7 + 1 = 14, A ->4, 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 4 2. |
95+279 = | < scratch >
[9, 5] has 2 digits.
[2, 7, 9] has 3 digits.
[5] + [9] , C = 1, 5 + 9 + 1 = 14, A ->4, C -> 1
[9] + [7] , C = 1, 9 + 7 + 1 = 17, A ->7, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 7 4. |
53+9677 = | < scratch >
[5, 3] has 2 digits.
[9, 6, 7, 7] has 4 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[5] + [7] , C = 1, 5 + 7 + 1 = 13, A ->3, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
[0] + [9] , C = 0, 0 + 9 + 0 = 9, A ->9, C -> 0
</ scratch >
sum:9 7 3 0. |
55+257 = | < scratch >
[5, 5] has 2 digits.
[2, 5, 7] has 3 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
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 1 2. |
239+495 = | < scratch >
[2, 3, 9] has 3 digits.
[4, 9, 5] has 3 digits.
[9] + [5] , C = 1, 9 + 5 + 1 = 14, A ->4, C -> 1
[3] + [9] , C = 1, 3 + 9 + 1 = 13, A ->3, C -> 1
[2] + [4] , C = 0, 2 + 4 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 3 4. |
66+266 = | < scratch >
[6, 6] has 2 digits.
[2, 6, 6] has 3 digits.
[6] + [6] , C = 1, 6 + 6 + 1 = 12, A ->2, C -> 1
[6] + [6] , C = 1, 6 + 6 + 1 = 13, A ->3, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
</ scratch >
sum:3 3 2. |
152+9969 = | < scratch >
[1, 5, 2] has 3 digits.
[9, 9, 6, 9] has 4 digits.
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[5] + [6] , C = 1, 5 + 6 + 1 = 12, A ->2, C -> 1
[1] + [9] , C = 1, 1 + 9 + 1 = 11, A ->1, C -> 1
[0] + [9] , C = 1, 0 + 9 + 1 = 10, A ->0, C -> 1
</ scratch >
sum:1 0 1 2 1. |
7981+629 = | < scratch >
[7, 9, 8, 1] has 4 digits.
[6, 2, 9] has 3 digits.
[1] + [9] , C = 1, 1 + 9 + 1 = 10, A ->0, C -> 1
[8] + [2] , C = 1, 8 + 2 + 1 = 11, A ->1, 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 1 0. |
733+3286 = | < scratch >
[7, 3, 3] has 3 digits.
[3, 2, 8, 6] has 4 digits.
[3] + [6] , C = 0, 3 + 6 + 0 = 9, A ->9, C -> 0
[3] + [8] , C = 1, 3 + 8 + 1 = 11, A ->1, C -> 1
[7] + [2] , C = 1, 7 + 2 + 1 = 10, A ->0, C -> 1
[0] + [3] , C = 0, 0 + 3 + 0 = 4, A ->4, C -> 0
</ scratch >
sum:4 0 1 9. |
69+82 = | < scratch >
[6, 9] has 2 digits.
[8, 2] has 2 digits.
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[6] + [8] , C = 1, 6 + 8 + 1 = 15, A ->5, C -> 1
</ scratch >
sum:1 5 1. |
313+6957 = | < scratch >
[3, 1, 3] has 3 digits.
[6, 9, 5, 7] has 4 digits.
[3] + [7] , C = 1, 3 + 7 + 1 = 10, A ->0, C -> 1
[1] + [5] , C = 0, 1 + 5 + 0 = 7, A ->7, C -> 0
[3] + [9] , C = 1, 3 + 9 + 1 = 12, A ->2, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 2 7 0. |
1580+552 = | < scratch >
[1, 5, 8, 0] has 4 digits.
[5, 5, 2] has 3 digits.
[0] + [2] , C = 0, 0 + 2 + 0 = 2, A ->2, C -> 0
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[5] + [5] , C = 1, 5 + 5 + 1 = 11, A ->1, C -> 1
[1] + [0] , C = 0, 1 + 0 + 0 = 2, A ->2, C -> 0
</ scratch >
sum:2 1 3 2. |
4472+7631 = | < scratch >
[4, 4, 7, 2] has 4 digits.
[7, 6, 3, 1] has 4 digits.
[2] + [1] , C = 0, 2 + 1 + 0 = 3, A ->3, C -> 0
[7] + [3] , C = 1, 7 + 3 + 1 = 10, A ->0, C -> 1
[4] + [6] , C = 1, 4 + 6 + 1 = 11, A ->1, C -> 1
[4] + [7] , C = 1, 4 + 7 + 1 = 12, A ->2, C -> 1
</ scratch >
sum:1 2 1 0 3. |
928+185 = | < scratch >
[9, 2, 8] has 3 digits.
[1, 8, 5] has 3 digits.
[8] + [5] , C = 1, 8 + 5 + 1 = 13, A ->3, C -> 1
[2] + [8] , C = 1, 2 + 8 + 1 = 11, A ->1, C -> 1
[9] + [1] , C = 1, 9 + 1 + 1 = 11, A ->1, C -> 1
</ scratch >
sum:1 1 1 3. |
99+5282 = | < scratch >
[9, 9] has 2 digits.
[5, 2, 8, 2] has 4 digits.
[9] + [2] , C = 1, 9 + 2 + 1 = 11, A ->1, C -> 1
[9] + [8] , C = 1, 9 + 8 + 1 = 18, A ->8, C -> 1
[0] + [2] , C = 0, 0 + 2 + 0 = 3, A ->3, C -> 0
[0] + [5] , C = 0, 0 + 5 + 0 = 5, A ->5, C -> 0
</ scratch >
sum:5 3 8 1. |
970+53 = | < scratch >
[9, 7, 0] has 3 digits.
[5, 3] has 2 digits.
[0] + [3] , C = 0, 0 + 3 + 0 = 3, A ->3, C -> 0
[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 3. |
72+629 = | < scratch >
[7, 2] has 2 digits.
[6, 2, 9] has 3 digits.
[2] + [9] , C = 1, 2 + 9 + 1 = 11, A ->1, C -> 1
[7] + [2] , C = 1, 7 + 2 + 1 = 10, A ->0, C -> 1
[0] + [6] , C = 0, 0 + 6 + 0 = 7, A ->7, C -> 0
</ scratch >
sum:7 0 1. |
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