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Solution.ts
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function canDistribute(nums: number[], quantity: number[]): boolean {
const m = quantity.length;
const s: number[] = new Array(1 << m).fill(0);
for (let i = 1; i < 1 << m; ++i) {
for (let j = 0; j < m; ++j) {
if ((i >> j) & 1) {
s[i] = s[i ^ (1 << j)] + quantity[j];
break;
}
}
}
const cnt: Map<number, number> = new Map();
for (const x of nums) {
cnt.set(x, (cnt.get(x) || 0) + 1);
}
const n = cnt.size;
const arr: number[] = [];
for (const [_, v] of cnt) {
arr.push(v);
}
const f: boolean[][] = new Array(n).fill(false).map(() => new Array(1 << m).fill(false));
for (let i = 0; i < n; ++i) {
f[i][0] = true;
}
for (let i = 0; i < n; ++i) {
for (let j = 0; j < 1 << m; ++j) {
if (i > 0 && f[i - 1][j]) {
f[i][j] = true;
continue;
}
for (let k = j; k > 0; k = (k - 1) & j) {
const ok1: boolean = (i == 0 && j == k) || (i > 0 && f[i - 1][j ^ k]);
const ok2: boolean = s[k] <= arr[i];
if (ok1 && ok2) {
f[i][j] = true;
break;
}
}
}
}
return f[n - 1][(1 << m) - 1];
}