#N=int("22119")
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2 1 5 1 1 0 3 0 0 4 3 3 1 14 8 17 7 20 1 43 110 13 1 8 0 5 1 6 1 5 7 21 1 1 0 3 1 1 1 0 1 0 5 7 11 4 3 1 0 2 3 0 2 2 1 1 6 1 12 3 1 0 2 0 3 2 15 0 1 2 0 2 21 3 2 2 22 44 26 14 88 544 49 24 43 35 1 75 76 16 1 76 0 6 3 1 0 1 2 3 5 6 3 4 8 0 6 6 9 16 20 30 15 31 18 1 1 0 44 1 16 27 0 3 0 3 1 0 1 2 1 9 9 0 1 3 5 0 2 3 1 0 2 3 1 0 2 0 3 2 8 10 4 8 0 26 3 9 4 16 7 23 3 20 33 2 3 6 0 9 6 9 8 9 0 2 6 5 16 24 46 3 55 67 28 10 4 28 0 9 0 5 4 16 112 46 3 0 0 4 5 0 10 1 2 5 2 2 7 2 9 9 6 2 6 11 0 1 1 4 0 17 9 6 0 15 0 2 1 1 9 0 1 0 3 12 0 6 29 9 7 2 3 5 3 11 2 3 8 1 4 1 5 1 0 0 4 4 4 3 6 6 0 5 1 1 2 16 2 9 96 5 6 14 0 2 6 10 1 5 1 1 0 2 2 3 0 1 0 10 3 1 0 3 1 0 3 1 0 0 5 1 9 1 1 0 0 7 0 1 2 4 3 2 2 24 3 1 9 5 16 13 13 1 0 2 1 5 1 1 1 0 2 2 2 2 2 0 4 1 1 0 5 0 153 4 118 12 4 25 6 18 106 81 122 85 2 2 6 2 14 11 1 0 2 0 2 8 7 1 1 1 1 1 0 1 4 3 0 0 4 0 6 3 32 3 1 1 0 0 3 0 3 27 6 14 2 0 2 7 3 13 1 1 1 1 0 0 2 10 1 4 0 0 7 7 18 6 3 0 0 6 3 1 0 1 1 8 1 1 2 8 7 17 1 1 0 2 0 4 5 0 8 1 0 18 3 22 9 0 22 67 10 10 10 2 1 3 5 0 0 3 6 6 2 0 4 6 2 3 1 1 1 1 1 0 0 5 2 5 0 0 12 4 32 7 8 2 7 1 50 11 27 47 103 551 668 538 780 922 2229 808 285 620 97 37 250 319 36 169 11 75 267 82 206 219 445 1292 926 39 31 16 9 3 4 3 0 2 1 3 3 2 4 7 0 3 0 1 4 2 2 2 3 0 2 2 3 1 1 1 1 1 1 0 2 1 0 1 9 19 11 4 2 3 0 0 2 8 2 6 6 10 2 1 4 2 2 0 3 1 10 6 3 3 45 0 27 75 3 17 0 18 1 0 3 7 21 1 0 3 0 0 4 0 1 11 29 3 1 56 3 0 3 0 2 2 0 7 0 3 0 1 4 2 0 7 0 0 7 0 1 2 1 0 14 22 7 4 1 12 4 22 13 13 1 0 1 4 3 1 1 1 0 3 0 0 2 11 1 0 3 0 1 3 5 0 3 0 0 0 4 22 2 3 1 1 0 0 2 11 0 0 6 3 1 0 2 2 0 1 0 26 2 1 0 9 2 2 7 5 7 0 6 7 1 13 4 3 9 10 3 6 13 8 88 7 1 0 2 2 0 4 7 1 0 3 1 0 1 5 1 0 1 0 7 0 11 0 13 37 3 29 0 1 2 6 1 4 3 1 1 1 0 0 5 0 1 5 25 12 0 10 14 13 28 2 0 6 3 1 0 0 0 6 19 1 1 1 0 2 1 2 0 2 7 41 0 1 0 0 6 6 43 31 0 2 14 2 0 19 10 43 27 18 4 31 2 29 4 2 1 5 1 0 1 5 0 0 3 8 2 2 3 1 0 2 1 4 0 6 3 1 0 2 1 1 3 6 8 14 1 5 0 2 1 1 8 2 0 3 1 0 29 10 2 1 17 0 14 4 13 0 10 1 5 1 1 0 2 2 1 1 3 6 10 0 9 7 10 32 17 83 32 27 111 99 1 1 14 0 6 0 17 5 76 9 2 1 2 20 4 4 6 1 3 4 0 3 3 5 14 0 9 3 12 8 9 17 20 9 4 2 1 2 5 1 5 9 0 3 1 1 1 0 2 3 1 1 1 0 0 2 0 4 8 26 30 42 18 140 37 9 23 0 7 1 7 3 13 31 19 14 27 3 68 2 29 9 6 4 5 0 2 0 2 38 27 37 12 41 86 428 106 186 2 215 31 105 17 12 0 7 3 53 3 7 40 11 1 1 0 1 2 5 0 0 15 9 11 3 10 1 29 32 2 1 5 0 2 3 0 0 3 3 9 4 7 0 9 0 25 12 9 83 2 5 5 0 0 2 10 1 0 10 0 1 1 11 17 11 6 10 55 11 11 58 49 48 32 52 3 3 2 4 14 5 74 10 13 86 11 1 7 13 12 5 2 21 1 2 1 20 1 22 27 0 18 0 1 7 4 6 24 6 2 0 6 2 1 3 0 1 8 26 2 3 0 1 5 1 1 0 0 1 6 15 1 0 3 0 1 2 7 0 1 4 1 1 1 3 21 7 13 10 12 6 1 2 3 7 3 0 2 3 17 16 6 10 96 1 5 14 7 1 0 0 1 0 4 15 47 1 55 0 52 0 18 140 31 1 1 1 1 0 2 0 1 9 7 0 9 5 0 0 5 2 0 9 4 16 1 8 1 18 3 5 9 1 0 2 1 2 7 1 0 3 0 2 2 3 1 1 0 2 0 2 2 14 5 2 15 10 14 3 0 1 1 0 10 15 0 14 2 7 24 2 0 5 2 5 3 2 3 5 0 11 13 4 11 0 1 3 3 5 1 1 0 1 5 1 1 0 1 1 2 11 4 4 1 3 28 42 7 22 1 11 1 9 0 0 2 7 3 4 6 6 34 4 13 20 35 0 0 3 0 10 1 8 1 112 6 2 3 7 28 8 12 78 131 3 26 45 47 13 0 3 0 3 1 0 0 0 7 13 8 3 1 1 1 1 0 1 2 4 4 6 0 7 1 0 1 1 7 5 1 0 2 2 1 4 3 0 2 0 2 4 3 10 22 18 1 3 3 3 1 0 16 6 1 5 0 3 0 3 0 3 0 0 7 1 0 2 1 2 3 8 0 2 8 2 6 4 10 4 8 6 19 1 0 0 2 4 13 0 6 6 6 4 1 26 4 5 2 4 1 13 1 0 2 1 2 2 6 4 6 18 3 0 1 5 1 1 0 3 0 2 1 0 11 0 1 3 2 0 11 0 17 4 3 0 2 2 3 1 0 1 2 6 0 4 2 10 2 2 2 3 1 1 0 0 7 1 0 1 3 4 0 2 8 4 2 10 2 3 1 1 0 2 0 7 1 1 0 2 3 0 0 4 4 1 12 3 0 1 4 3 0 2 3 1 0 0 0 8 1 26 7 1 1 0 2 1 1 6 1 2 11 14 22 2 1 3 3 1 5 9 0 1 1 1 14 6 0 1 5 1 22 11 2 21 32 10 43 46 4 1 10 3 8 2 3 0 1 4 0 4 7 0 1 1 4 9 5 1 1 0 2 3 0 0 0 3 9 24 12 9 11 2 5 5 0 3 1 1 1 0 3 1 0 2 1 3 0 6 2 6 17 17 4 5 11 5 1 0 2 2 0 7 1 0 3 1 0 1 5 1 1 1 0 2 1 2 0 13 4 1 3 0 0 16 9 2 23 1 1 1 0 3 1 0 2 1 5 0 3 0 1 4 1 0 4 12 5 3 5 1 0 1 1 4 11 0 0 4 2 0 23 1 0 0 5 2 2 0 15 4 11 13 11 19 2 98 106 34 44 27 5 50 32 6 38 12 17 27 3 3 3 0 0 15 16 3 0 0 1 10 5 1 3 7 13 1 1 1 1 1 0 0 6 0 5 0 1 8 18 6 10 23 1 8 13 40 78 22 235 58 700 137 2 79 49 28 53 0 54 33 36 10 52 138 94 267 0 44 6 53 18 48 46 63 8 3 0 1 5 0 3 1 0 3 1 1 1 1 1 1 1 1 0 0 4 2 10 0 2 9 3 5 1 1 0 0 1 13 1 0 0 2 2 4 20 18 10 0 0 0 20 4 7 53 20 8 4 7 0 2 0 7 0 3 0 3 0 2 0 5 1 2 1 6 9 36 64 19 31 14 5 1 30 23 0 0 2 0 8 17 10 17 15 7 69 34 94 1 0 6 11 0 2 1 0 7 6 2 0 1 15 2 61 90 16 67 17 9 1 0 10 77 48 2 96 11 36 14 52 4 15 11 4 16 7 1 0 1 3 3 1 7 1 9 0 1 5 1 1 0 3 1 0 2 0 3 7 1 6 3 2 8 4 9 13 31 1 1 2 0 51 24 1 1 5 5 4 4 9 1 18 13 0 1 9 18 8 2 9 32 9 2 4 1 3 6 28 7 0 0 1 11 5 1 1 1 1 0 3 0 0 7 0 0 1 1 19 13 1 1 0 1 0 10 3 0 2 1 0 5 0 18 10 3 2 46 0 46 49 0 4 9 8 0 16 9 7 4 9 18 6 0 6 3 1 1 1 1 0 2 3 0 2 2 0 6 0 4 0 6 13 4 16 7 0 3 1 0 0 2 7 1 15 3 4 1 4 1 3 1 0 1 35 0 10 2 0 2 5 10 3 0 3 17 11 43 3 4 1 5 0 3 1 0 0 3 7 0 2 5 10 3 50 38 3 8 22 16 52 60 17 12 1 1 9 1 1 0 1 3 0 5 10 6 3 1 0 0 1 3 16 6 0 14 10 3 18 16 18 19 16 3 1 0 3 1 0 3 1 0 1 1 5 7 1 3 1 16 11 4 24 6 1 0 7 3 3 2 4 64 8 4 13 3 4 37 56 8 7 0 0 6 0 1 13 1 1 0 3 1 0 2 3 0 1 5 0 1 0 2 8 6 6 5 26 0 266 9 205 85 54 6 0 6 2 2 2 1 3 1 8 1 0 11 1 1 0 0 0 9 3 13 7 14 3 24 3 1 0 3 0 2 1 1 8 0 7 1 0 2 3 0 0 6 1 3 2 1 0 22 1 11 0 2 49 62 7 1 26 11 0 10 11 3 9 33 10 15 0 3 0 1 1 1 8 1 15 17 44 17 8 13 15 15 5 38 6 5 41 16 30 40 4 2 1 20 1 1 2 8 15 1 1 0 2 3 0 0 1 8 6 2 5 3 25 10 78 7 42 7 38 21 4 2 3 1 0 1 3 2 6 2 2 1 3 5 1 1 0 1 4 3 1 0 1 5 1 0 1 3 0 3 10 9 4 6 18 18 3 0 1 2 6 1 1 8 0 3 9 1 0 0 6 3 1 1 1 0 1 0 6 0 13 19 3 2 6 3 0 2 2 0 0 8 2 1 36 32 1 5 8 17 0 7 9 1 1 0 0 2 7 1 8 1 33 1 8 0 27 1 19 29 64 3 1 1 1 0 3 1 1 1 0 0 6 0 0 1 27 4 2 3 1 1 0 3 1 0 1 2 2 8 1 1 18 8 12 3 1 17 1 0 0 5 1 8 3 0 0 4 5 3 1 0 19 0 0 3 9 1 1 1 1 1 0 1 3 0 1 4 28 9 0 20 6 16 6 2 3 1 1 0 0 2 11 0 2 3 1 1 1 1 1 1 0 3 1 0 2 1 1 2 1 18 9 5 22 33 8 45 29 4 113 12 19 1 1 1 1 1 1 1 1 0 0 3 4 6 9 0 10 1 5 0 1 5 0 3 0 2 1 3 5 1 1 0 0 2 10 1 2 0 14 0 3 4 5 3 10 18 6 11 1 1 1 1 0 0 3 7 5 1 1 0 3 0 3 0 1 4 0 5 5 0 3 0 1 1 1 13 2 0 3 0 0 45 329 71 9 41 2 20 24 1 109 263 39 29 1 1 1 0 2 2 3 0 3 0 2 2 1 0 2 19 0 2 2 1 4 1 0 11 1 0 2 2 0 0 9 4 19 0 1 2 7 0 2 2 2 0 2 2 19 1 1 1 1 1 1 1 1 0 1 1 4 9 0 5 10 1 1 15 19 0 4 10 11 1 1 1 0 0 5 1 5 2 2 20 7 15 5 1 0 0 1 0 4 46 1 3 2 4 4 7 1 1 1 1 0 0 7 0 2 2 0 2 2 5 19 15 3 21 1 1 1 1 1 1 1 0 2 2 0 7 0 0 4 7 1 0 0 6 0 4 7 0 2 2 2 2 2 3 0 1 5 0 3 1 1 1 0 3 1 0 0 4 4 7 1 0 3 0 2 1 4 2 3 0 3 1 0 3 0 0 6 1 5 0 1 3 3 3 2 3 8 0 7 0 0 7 0 3 1 0 3 1 0 1 4 1 2 5 1 8 0 2 9 1 5 8 1 2 3 5 7 5 0 1 4 2 0 4 3 7 0 5 9 7 0 10 1 1 2 0 27 4 2 18 3 1 1 1 1 0 3 0 3 0 0 7 1 0 0 6 1 4 0 0 7 8 4 27 1 17 1 1 0 3 1 1 1 1 1 1 0 2 3 0 0 4 4 6 0 4 2 5 8 9 1 9 1 0 2 2 0 4 1 11 3 5 1 1 0 2 0 2 11 1 0 3 1 0 0 3 3 11 0 10 3 0 2 3 1 1 0 2 0 6 2 2 0 1 10 0 14 1 0 11 0 1 4 2 1 2 7 1 0 3 1 0 3 1 0 2 1 4 2 3 0 1 1 9 1 0 1 1 6 0 0 16 17 2 1 16 85 22 198 336 3 5 1 17 0 2 1 0 5 6 13 4 3 0 3 0 2 0 3 3 2 13 21 1 1 0 2 3 1 1 1 0 1 2 5 4 0 7 1 0 1 5 0 2 1 5 0 3 1 1 0 2 2 3 1 0 0 6 2 2 1 0 4 2 14 0 35 6 38 42 9 61 14 45 37 1 18 82 5 42 0 4 16 3 25 1 0 1 5 1 1 1 0 3 0 1 0 1 15 9 3 10 6 3 0 1 0 5 3 19 2 1 8 2 8 20 4 3 1 10 13 1 6 6 2 0 7 1 0 0 3 3 3 15 4 12 8 14 2 1 5 0 3 0 3 1 1 1 0 1 4 0 2 7 5 3 2 10 10 6 33 49 5 0 18 1 1 7 2 4 5 0 6 11 0 0 6 2 1 1 9 0 1 5 0 2 2 0 0 2 8 29 21 0 3 1 1 1 0 3 0 3 0 0 4 3 9 1 0 3 0 1 1 4 10 0 2 10 2 1 2 2 5 11 2 3 6 1 9 8 2 0 4 4 6 3 0 0 2 4 9 4 7 5 10 18 5 146 45 17 4 3 12 0 13 16 5 10 0 2 20 12 3 9 0 2 3 0 3 1 0 3 1 1 1 1 1 1 0 1 3 5 1 0 0 7 1 0 1 5 0 1 2 0 8 6 12 9 5 13 5 3 3 14 1 16 26 0 7 1 0 3 0 1 2 2 0 20 0 12 4 5 4 1 2 4 7 1 1 1 1 1 1 0 1 2 3 5 8 3 0 2 3 1 1 0 0 0 3 6 2 73 3 4 2 2 2 2 2 1 5 1 0 1 5 0 1 0 1 11 18 6 1 1 6 7 1 0 0 3 5 2 15 1 0 1 2 4 4 2 4 1 27 4 0 6 3 1 0 3 1 0 3 1 0 1 2 1 0 4 12 67 7 1 0 2 21 7 40 0 22 2 2 1 1 0 1 33 0 2 18 21 7 0 15 23 119 260 23 13 24 85 81 9 22 18 0 15 9 6 2 40 6 0 6 3 1 1 1 1 1 0 0 0 15 0 2 1 1 2 5 5 24 10 9 1 30 5 27 16 1 8 23 6 6 3 0 3 1 0 1 5 0 3 1 0 2 3 1 1 1 0 2 3 1 0 2 3 1 1 1 0 3 0 3 0 1 3 3 5 1 0 0 1 5 4 9 4 53 21 11 11 0 1 7 26 5 4 3 0 1 4 3 0 1 3 1 6 4 0 0 1 29 19 93 1 1 0 0 5 0 8 4 2 8 7 1 0 0 4 7 1 1 0 0 6 3 1 0 0 1 9 6 4 6 1 0 10 3 1 0 1 3 5 0 3 1 0 3 0 3 1 0 3 0 0 0 0 15 26 8 3 0 31 30 20 0 13 5 0 3 1 0 3 1 1 0 0 5 5 1 1 1 1 1 0 0 5 1 7 3 0 9 5 0 0 7 1 1 0 1 2 7 1 1 0 2 2 3 1 1 0 3 1 0 1 2 2 0 23 0 2 2 2 1 5 1 1 0 0 2 4 4 5 8 57 1 0 5 9 3 75 0 8 0 8 6 7 17 9 3 20 15 2 8 7 5 7 6 23 77 4 10 3 1 1 1 1 1 1 1 0 2 1 2 4 4 7 0 3 1 0 1 5 1 0 1 0 4 3 22 3 7 1 7 4 1 0 10 3 1 1 0 3 1 1 0 1 4 2 1 3 1 8 2 1 3 5 0 1 2 1 1 12 20 3 16 14 2 19 1 1 1 1 0 3 1 1 0 0 7 1 1 1 0 3 1 0 1 0 6 2 12 3 15 19 0 7 4 9 2 5 2 5 5 0 3 1 0 0 0 4 13 8 12 7 42 12 2 4 7 1 5 34 13 57 21 8 0 0 3 9 4 28 63 0 3 0 2 0 0 3 13 18 14 1 1 2 5 17 3 0 21 10 7 1 1 0 2 0 3 6 7 1 1 0 2 0 3 2 0 20 10 18 18 0 2 2 17 0 5 4 12 9 7 0 1 38 16 10 8 7 27 27 216 166 207 48 7 18 2 12 30 1 1 5 0 4 2 48 20 6 1 2 1 3 19 2 2 6 6 2 1 0 34 22 33 150 36 24 9 33 150 2 10 3 1 1 1 1 1 1 0 2 0 2 2 2 31 8 2 1 2 7 0 1 5 0 3 1 1 1 1 1 1 0 2 3 0 1 5 0 0 0 8 8 10 9 2 1 2 4 2 1 51 99 90 8 279 235 32 6 144 54 1 2 2 10 1 2 1 8 4 15 1 0 1 2 3 0 13 11 5 1 0 3 1 0 1 0 10 0 1 10 3 2 4 2 42 0 3 6 3 3 5 4 2 9 37 62 56 14 16 2 18 16 78 130 113 14 387 88 0 5 5 1 0 0 6 0 5 3 3 1 0 3 19 24 2 9 12 14 8 4 5 5 1 1 1 0 0 6 1 1 4 0 16 5 1 35 13 1 0 3 0 2 0 3 4 9 5 1 1 1 1 0 2 0 3 0 8 7 22 13 19 1 3 0 26 1 2 0 0 0 6 21 182 0 20 13 5 2 44 33 11 1 2 9 11 1 7 2 7 1 1 1 1 0 3 0 3 0 0 3 4 1 14 7 7 11 19 1 0 0 21 15 40 7 1 11 0 19 13 2 14 1 3 5 1 0 3 0 0 4 4 4 7 0 3 1 0 0 5 0 9 1 5 7 2 5 2 2 5 1 9 6 37 16 23 28 7 24 17 28 12 11 4 6 1 0 26 32 1 1 22 1 13 1 1 1 0 1 1 5 5 5 0 16 2 9 2 6 1 5 1 0 3 0 0 5 1 7 5 1 0 0 3 2 1 5 48 1 3 5 0 1 4 1 4 1 3 2 4 7 0 3 0 0 2 6 5 0 4 20 3 91 21 10 7 8 2 20 13 24 11 31 5 0 1 0 0 16 3 7 26 13 19 3 3 2 3 7 3 0 4 3 8 20 22 10 2 1 48 8 39 38 16 77 5 1 1 1 1 1 0 3 1 1 0 3 0 1 0 1 13 11 1 12 13 24 1 1 24 11 41 7 2 24 1 46 18 26 0 2 5 8 8 6 3 0 1 3 3 3 5 1 0 3 0 3 0 1 1 2 6 3 11 38 5 19 1 8 2 1 0 1 10 10 22 11 0 0 3 3 13 0 0 2 2 13 6 10 7 6 4 2 7 8 1 4 1 1 2 0 22 6 3 47 3 3 1 7 0 0 20 5 3 3 5 0 3 0 1 3 2 4 5 4 3 0 2 1 4 2 2 0 5 1 6 3 9 0 3 0 2 1 5 1 0 1 3 5 0 0 5 1 1 15 1 4 10 1 2 3 4 11 0 2 3 0 0 6 2 0 2 8 7 1 1 0 3 0 2 2 3 1 1 0 0 0 12 1 13 0 2 3 0 0 1 8 5 2 7 5 32 3 71 44 15 8 0 6 3 0 3 0 2 0 4 5 0 10 2 3 1 0 0 3 6 4 5 4 1 3 0 3 2 23 7 14 3 17 16 3 1 0 2 3 1 1 0 3 1 1 0 2 0 3 4 6 0 8 0 24 17 93 20 61 31 39 24 9 30 76 0 10 3 13 5 9 0 1 1 8 1 5 1 1 0 3 1 1 0 1 3 5 0 1 5 1 1 0 1 2 4 7 1 0 0 5 4 1 5 1 0 2 3 0 1 3 0 1 20 1 4 0 4 7 1 0 1 0 10 0 4 4 5 0 5 11 0 3 1 6 19 66 0 19 8 29 6 0 3 46 8 3 30 20 62 1 13 32 33 4 1 5 1 0 1 5 0 2 3 1 0 0 3 1 13 4 0 17 4 1 1 46 6 18 85 119 12 111 3 44 35 21 59 54 1 23 13 0 3 1 0 1 0 3 11 1 7 22 20 2 32 10 6 17 31 5 5 4 82 379 92 32 17 12 0 0 11 6 4 0 1 2 52 2 9 4 3 1 1 0 2 1 1 9 1 0 2 0 1 0 8 5 53 28 3 6 4 13 8 11 76 29 244 25 79 1 138 22 4 1 42 22 16 20 34 1 9 8 7 39 26 17 13 1 0 2 3 1 0 3 1 0 0 0 10 4 9 4 9 19 4 3 0 2 2 1 3 3 2 1 3 13 0 31 0 3 2 62 3 1 1 1 1 0 1 1 4 5 3 19 0 5 6 10 4 7 12 8 0 6 4 3 28 17 75 13 11 12 3 0 2 3 1 0 1 1 1 0 0 71 0 3 1 1 1 0 2 1 0 3 6 21 4 3 0 3 0 0 0 6 19 1 0 2 2 2 3 0 0 7 0 2 2 3 0 2 1 4 0 5 5 0 3 1 1 0 2 3 1 0 3 0 3 1 0 2 3 1 0 0 2 10 0 6 3 0 1 4 2 3 1 1 1 0 0 1 1 22 3 6 2 9 4 2 2 0 7 1 0 2 0 3 0 19 0 0 4 1 3 21 1 1 0 0 5 1 8 1 0 9 3 4 1 5 1 0 0 3 5 4 2 16 3 9 1 1 0 3 0 1 4 2 3 0 1 5 1 1 1 0 1 0 3 8 2 23 12 8 30 7 14 2 4 11 102 69 2 4 7 1 1 1 0 2 2 3 0 3 1 1 1 0 3 0 2 3 1 0 0 4 2 4 12 3 7 3 2 3 5 5 6 5 2 7 0 3 0 3 0 1 0 6 7 5 0 3 27 3 13 15 0 6 2 19 0 1 2 1 1 11 8 6 23 38 47 72 103 109 199 28 4 28 3 4 7 4 4 3 15 8 2 0 38 29 155 68 23 73 2 40 33 7 10 9 96 11 6 10 137 411 12 18 0 4 1 4 19 0 0 5 3 1 1 7 14 5 14 11 5 8 2 0 1 11 5 0 0 1 10 3 3 12 2 2 0 6 2 3 1 1 1 0 1 1 5 7 5 1 0 1 1 0 12 13 0 3 14 7 1 1 0 2 0 4 2 6 11 1 0 3 1 0 1 0 4 14 0 4 6 1 3 1 2 4 14 0 6 24 87 0 2 3 0 2 0 3 2 9 4 17 3 4 3 1 0 1 0 2 4 23 1 1 35 12 44 84 43 21 6 7 0 2 0 0 12 7 1 0 2 0 3 2 8 10 8 6 3 0 3 0 0 7 0 3 0 0 5 0 4 1 4 26 25 43 15 12 1 5 1 0 3 0 0 1 6 2 16 6 19 4 20 79 0 0 6 1 1 1 12 1 1 27 4 23 12 58 45 2 66 9 15 97 23 4 0 0 15 1 0 0 6 1 0 3 8 10 4 25 11 1 1 4 26 3 1 1 1 0 1 2 2 6 0 21 1 5 4 9 0 9 5 0 0 3 3 0 18 1 16 18 44 5 18 3 6 3 6 4 3 7 0 8 4 0 0 19 16 6 15 16 11 15 1 4 2 15 4 7 8 2 0 4 4 0 11 0 6 1 16 57 0 29 4 67 133 34 0 306 76 619 10 463 1806 638 1190 204 823 606 296 454 454 308 695 52 1128 440 512 58 398 317 240 643 203 1186 1819 204 44 1484 71 406 33 70 78 0 5 1 5 0 19 0 0 4 5 2 6 0 7 1 1 0 2 1 3 4 2 1 4 2 1 4 1 5 0 2 2 2 2 3 0 2 2 1 5 0 3 0 3 0 1 4 1 4 1 3 4 2 3 1 0 1 3 1 4 6 2 3 26 1 19 5 8 31 13 6 36 34 45 16 444 234 143 26 28 50 11 26 19 20 36 146 107 341 184 434 18 18 21 0 21 18 35 97 0 245 63 18 63 24 46 9 0 10 3 1 1 0 1 1 3 10 7 1 1 0 2 3 0 3 1 0 3 0 2 0 5 0 0 3 19 32 26 1 4 0 3 2 8 14 2 0 6 2 2 1 5 1 0 2 1 1 7 5 0 3 1 0 2 1 0 0 18 8 1 7 8 3 3 21 7 12 10 15 2 12 0 12 3 3 7 13 1 1 1 1 1 1 0 2 2 3 0 1 0 0 11 2 20 51 9 0 2 2 1 5 0 2 1 4 3 0 1 2 1 4 13 13 1 0 3 0 2 2 3 0 2 2 1 0 5 9 7 1 1 3 10 5 33 20 18 13 275 43 32 103 44 328 129 58 172 143 149 24 168 10 29 92 37 37 48 3 0 3 0 2 0 4 6 3 1 1 1 0 1 4 3 1 1 1 1 0 2 3 1 0 2 0 2 10 3 0 3 1 1 1 0 3 0 1 1 5 0 9 2 12 31 7 7 48 97 210 65 11 4 0 6 0 7 1 1 0 1 1 4 5 0 25 5 1 1 1 1 0 1 1 3 4 0 0 58 30 23 6 2 4 9 9 2 8 15 1 1 0 2 2 1 4 2 3 0 0 0 14 3 1 1 0 0 4 1 7 6 14 1 1 7 5 1 1 1 1 1 1 0 1 3 2 7 1 0 3 0 0 4 6 2 2 0 4 5 4 0 0 6 15 6 5 0 9 4 0 5 1 0 3 0 28 41 66 8 8 12 48 41 0 3 26 36 3 3 71 9 3 13 0 1 1 8 3 1 1 1 0 1 2 4 7 0 3 1 0 1 3 4 2 2 1 3 1 1 5 8 8 0 67 1 53 33 24 634 38 647 34 5 18 0 11 5 7 1 4 9 2 5 1 1 2 21 3 24 23 2 5 21 0 3 1 0 1 5 1 0 2 0 5 0 10 2 1 3 1 9 0 2 3 0 2 2 2 0 7 1 0 2 1 1 5 4 3 9 3 21 17 0 3 1 1 0 0 0 4 17 13 0 2 2 1 4 3 1 0 2 1 1 1 11 7 13 1 1 1 1 0 1 2 0 10 5 9 4 4 8 13 0 4 9 10 5 1 1 15 2 0 0 9 38 3 15 20 0 3 8 1 2 6 0 6 0 2 4 9 11 4 0 3 7 2 3 8 0 2 8 4 0 0 20 3 5 36 21 18 122 89 29 3 120 52 35 6 0 43 46 53 3 2 4 6 0 1 8 7 8 0 4 4 7 0 0 1 9 2 1 28 3 1 0 3 0 2 0 7 1 1 0 2 0 1 8 10 1 4 1 0 3 13 9 1 0 1 4 1 2 2 6 11 1 1 0 2 3 0 1 5 1 1 0 0 1 7 8 7 7 4 0 5 2 0 6 0 20 33 6 14 0 7 1 1 1 1 1 0 3 0 2 1 3 4 1 4 1 1 1 6 16 7 15 0 4 10 0 20 1 12 0 4 4 5 0 4 2 1 26 12 74 10 17 37 1 0 0 1 12 2 1 0 3 11 7 10 2 9 1 8 1 3 5 1 0 0 5 5 0 2 3 0 1 0 0 23 1 1 0 3 0 2 0 3 1 7 17 2 5 13 7 6 9 23 15 14 0 141 22 119 47 28 54 34 43 9 13 8 3 0 0 2 0 15 17 0 2 0 3 4 6 7 1 4 24 6 0 6 2 3 1 0 2 0 5 2 4 5 1 3 3 2 29 17 9 1 1 1 0 0 7 0 3 0 3 1 0 1 3 1 2 10 2 2 34 1 0 6 8 0 11 0 19 1 0 1 1 9 0 2 2 2 2 1 3 4 1 5 1 1 1 0 2 3 1 0 1 3 3 4 0 5 3 3 4 1 1 0 1 6 55 13 8 0 1 12 2 3 1 1 0 2 2 3 1 0 3 1 0 2 3 1 0 3 0 2 0 3 8 0 3 3 3 4 14 40 6 3 0 2 3 0 0 0 15 0 3 1 1 1 1 1 0 1 0 2 12 5 12 18 2 2 1 0 6 5 8 9 1 6 2 1 7 6 47 1 0 2 1 5 1 0 2 1 5 1 0 3 1 0 2 2 3 0 2 1 0 11 0 0 3 9 1 0 2 1 1 8 1 0 10 1 3 1 0 16 6 2 2 1 4 0 0 3 2 13 35 37 35 14 88 12 3 8 3 1 0 1 3 4 3 1 0 3 0 3 0 0 7 0 2 3 0 3 1 0 0 2 2 18 2 3 1 1 1 1 1 0 2 3 0 1 5 1 1 1 1 0 0 5 0 3 13 8 1 5 0 2 3 0 1 3 4 0 5 5 1 0 2 1 5 0 0 2 6 8 3 2 8 6 18 0 3 9 0 1 3 3 2 7 1 0 3 0 1 3 5 0 0 4 3 3 7 13 1 0 2 2 1 3 5 0 0 4 6 1 3 4 1 0 1 13 7 9 15 7 2 36 16 7 49 10 5 137 130 36 10 15 5 18 14 66 1 5 0 2 0 0 2 4 2 48 59 27 16 8 37 104 161 93 330 61 154 2 229 77 19 1387 138 3103 197 103 24 307 112 75 20 132 309 334 494 29 210 29 98 558 228 27 7 1 0 16 7 0 3 0 1 1 4 11 1 0 1 1 0 14 3 4 27 0 2 2 1 0 1 18 5 4 3 0 0 4 7 0 2 0 1 1 20 8 7 0 1 1 2 0 5 51 5 1 1 1 0 1 2 7 0 0 5 5 1 0 3 0 2 1 2 6 3 0 2 1 4 3 1 1 0 1 5 0 2 3 0 3 1 1 0 0 6 1 4 0 7 1 0 1 3 1 1 15 3 1 1 4 7 23 24 16 17 7 8 11 0 0 7 1 1 0 3 0 3 0 3 0 0 6 1 2 3 9 1 1 1 1 0 1 2 4 2 11 0 2 0 7 0 2 3 0 0 0 7 6 4 15 17 31 22".split()))

#N=int("20")
#A=list(map(int, "0 0 0 0 0 0 0 0 0 0 0 0 4092 0 7 6 4 15 17 31 22".split()))


N=int(input())
A=list(map(int, input().split()))

ans=0
bef=0

tmp=[]

#20, 25, 33, 35, 48

for i in range(N+1):
    if i==0:
        if A[0]==1:
            bef=0
        elif A[0]>1:
            print("-1")
            exit()
        elif N==0 and A[0]==0:
            print("-1")
            exit()
        else:
            bef=1
        tmp.append(1)
        continue
    elif (bef*2-A[i])>=0:
        bef=bef*2-A[i]
        tmp.append(bef)
    else:
        print("-1")
        exit()

hoge=[]

for i in range(N+1):
    current=A[-(i+1)]
    if i==0:
        bef=current
        ans+=current
        hoge.append(bef)
        continue
    else:
        tmpp = tmp[-(i+1)]
        if bef > tmpp:
            ans+=tmpp+current
            bef=tmpp+current
        else:
            ans+=current+bef
            bef=current+bef
    hoge.append(bef)

if ans==0:
    ans=-1
#print(tmp)
#print(hoge)
print(ans)



Measured memory_bytes: 705360