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| 1 | +/** |
| 2 | + * @param {number[][]} matrix |
| 3 | + * @return {number[][]} |
| 4 | + */ |
| 5 | +const matrixRankTransform = function (matrix) { |
| 6 | + function find(UF, x) { |
| 7 | + if (x !== UF.get(x)) UF.set(x, find(UF, UF.get(x))) |
| 8 | + return UF.get(x) |
| 9 | + } |
| 10 | + function union(UF, x, y) { |
| 11 | + if (!UF.has(x)) UF.set(x, x) |
| 12 | + if (!UF.has(y)) UF.set(y, y) |
| 13 | + UF.set(find(UF, x), find(UF, y)) |
| 14 | + } |
| 15 | + const m = matrix.length |
| 16 | + const n = matrix[0].length |
| 17 | + const UFs = new Map() |
| 18 | + for (let i = 0; i < m; i++) { |
| 19 | + for (let j = 0; j < n; j++) { |
| 20 | + const v = matrix[i][j] |
| 21 | + if (!UFs.has(v)) UFs.set(v, new Map()) |
| 22 | + union(UFs.get(v), i, ~j) |
| 23 | + } |
| 24 | + } |
| 25 | + const value2index = {} |
| 26 | + for (let i = 0; i < m; i++) { |
| 27 | + for (let j = 0; j < n; j++) { |
| 28 | + let v = matrix[i][j] |
| 29 | + if (!value2index.hasOwnProperty(v)) value2index[v] = new Map() |
| 30 | + const indexes = value2index[v] |
| 31 | + let f = find(UFs.get(v), i) |
| 32 | + if (!indexes.has(f)) indexes.set(f, []) |
| 33 | + indexes.get(f).push([i, j]) |
| 34 | + } |
| 35 | + } |
| 36 | + const answer = Array.from({ length: m }, () => Array(n).fill(0)) |
| 37 | + const rowMax = Array(m).fill(0), colMax = Array(n).fill(0) |
| 38 | + const keys = Object.keys(value2index) |
| 39 | + keys.sort((a, b) => a - b) |
| 40 | + for (let v of keys) { |
| 41 | + for (let points of value2index[v].values()) { |
| 42 | + let rank = 1 |
| 43 | + for (let point of points) { |
| 44 | + rank = Math.max(rank, Math.max(rowMax[point[0]], colMax[point[1]]) + 1) |
| 45 | + } |
| 46 | + for (let point of points) { |
| 47 | + answer[point[0]][point[1]] = rank |
| 48 | + rowMax[point[0]] = Math.max(rowMax[point[0]], rank) |
| 49 | + colMax[point[1]] = Math.max(colMax[point[1]], rank) |
| 50 | + } |
| 51 | + } |
| 52 | + } |
| 53 | + return answer |
| 54 | +} |
| 55 | + |
| 56 | +// another |
| 57 | + |
1 | 58 | /**
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2 | 59 | * @param {number[][]} matrix
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3 | 60 | * @return {number[][]}
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