|
| 1 | +/** |
| 2 | + * @param {number[][]} grid |
| 3 | + * @return {number} |
| 4 | + */ |
| 5 | +const minimumSum = function(grid) { |
| 6 | + const m = grid.length, n = grid[0].length |
| 7 | + let res = Infinity |
| 8 | +// case 1 |
| 9 | +/* |
| 10 | +1 | 2 | 3 |
| 11 | +*/ |
| 12 | +for(let i = 0; i < n - 2; i++) { |
| 13 | + const one = calc(0, m - 1, 0, i, grid) |
| 14 | + for(let j = i + 1; j < n - 1; j++) { |
| 15 | + const two = calc(0, m - 1, i + 1, j, grid) |
| 16 | + const three = calc(0, m - 1, j + 1, n - 1, grid) |
| 17 | + res = Math.min(res, one + two + three) |
| 18 | + } |
| 19 | +} |
| 20 | + |
| 21 | + |
| 22 | +// case 2 |
| 23 | +/* |
| 24 | +1 |
| 25 | +- |
| 26 | +2 |
| 27 | +- |
| 28 | +3 |
| 29 | +*/ |
| 30 | +for(let i = 0; i < m - 2; i++) { |
| 31 | + const one = calc(0, i, 0, n - 1, grid) |
| 32 | + for(let j = i + 1; j < m - 1; j++) { |
| 33 | + const two = calc(i + 1, j, 0, n - 1, grid) |
| 34 | + const three = calc(j + 1, m - 1, 0, n - 1, grid) |
| 35 | + res = Math.min(res, one + two + three) |
| 36 | + } |
| 37 | +} |
| 38 | + |
| 39 | + |
| 40 | +// case 3 |
| 41 | +/* |
| 42 | +2 | 3 |
| 43 | +----- |
| 44 | + 1 |
| 45 | +*/ |
| 46 | +for(let i = m - 1; i >= 1; i--) { |
| 47 | + const one = calc(i, m - 1, 0, n - 1, grid) |
| 48 | + for(let j = 0; j < n - 1; j++) { |
| 49 | + const two = calc(0, i - 1, 0, j, grid) |
| 50 | + const three = calc(0, i - 1, j + 1, n - 1, grid) |
| 51 | + res = Math.min(res, one + two + three) |
| 52 | + } |
| 53 | + |
| 54 | +} |
| 55 | + |
| 56 | + |
| 57 | +// case 4 |
| 58 | +/* |
| 59 | +2 | |
| 60 | +--| 1 |
| 61 | +3 | |
| 62 | +*/ |
| 63 | +for(let i = n - 1; i >= 1; i--) { |
| 64 | + const one = calc(0, m - 1, i, n - 1, grid) |
| 65 | + for(let j = 0; j < m - 1; j++) { |
| 66 | + const two = calc(0, j, 0, i - 1, grid) |
| 67 | + const three = calc(j + 1, m - 1, 0, i - 1, grid) |
| 68 | + res = Math.min(res, one + two + three) |
| 69 | + } |
| 70 | + } |
| 71 | + |
| 72 | + |
| 73 | +// case 5 |
| 74 | +/* |
| 75 | + 1 |
| 76 | +----- |
| 77 | +2 | 3 |
| 78 | +*/ |
| 79 | +for(let i = 0; i < m - 1; i++) { |
| 80 | + const one = calc(0, i, 0, n - 1, grid) |
| 81 | + for(let j = 0; j < n - 1; j++) { |
| 82 | + const two = calc(i + 1, m - 1, 0, j, grid) |
| 83 | + const three = calc(i + 1, m - 1, j + 1, n - 1, grid) |
| 84 | + res = Math.min(res, one + two + three) |
| 85 | + } |
| 86 | + |
| 87 | +} |
| 88 | + |
| 89 | + |
| 90 | +// case 6 |
| 91 | +/* |
| 92 | + | 2 |
| 93 | + 1 |-- |
| 94 | + | 3 |
| 95 | +*/ |
| 96 | +for(let j = 0; j < n - 1; j++) { |
| 97 | + const one = calc(0, m - 1, 0, j, grid) |
| 98 | + for(let i = 0; i < m - 1; i++) { |
| 99 | + const two = calc(0, i, j + 1, n - 1, grid) |
| 100 | + const three = calc(i + 1, m - 1, j + 1, n - 1, grid) |
| 101 | + res = Math.min(res, one + two + three) |
| 102 | + } |
| 103 | +} |
| 104 | + |
| 105 | + return res |
| 106 | +}; |
| 107 | + |
| 108 | +function calc(rs, re, cs, ce, grid) { |
| 109 | + |
| 110 | + let rmin = Infinity, rmax = -Infinity, cmin = Infinity, cmax = -Infinity |
| 111 | + for(let i = rs; i <= re; i++) { |
| 112 | + for(let j = cs; j <= ce; j++) { |
| 113 | + if(grid[i][j] === 1) { |
| 114 | + rmin = Math.min(rmin, i) |
| 115 | + rmax = Math.max(rmax, i) |
| 116 | + cmin = Math.min(cmin, j) |
| 117 | + cmax = Math.max(cmax, j) |
| 118 | + } |
| 119 | + } |
| 120 | + } |
| 121 | + return (rmax - rmin + 1) * (cmax - cmin + 1) |
| 122 | +} |
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