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Copy path388.文件的最长绝对路径.js
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388.文件的最长绝对路径.js
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/**
* @param {number[][]} envelopes
* @return {number}
* https://leetcode-cn.com/problems/russian-doll-envelopes/
*/
// ❌
// 朴素DP
// 超时 170s
var maxEnvelopes_plain = function(envelopes) {
// 能否套入
function canWrap (wraper, inner) {
return wraper[0] > inner[0] && wraper[1] > inner[1];
}
// 按宽度升序
envelopes.sort((a, b) => {return a[0] - b[0]
});
// N
// dp[i] = 第i个能套的最大数量
const dp = new Array(envelopes.length).fill(1);
let max = 1;
for (let i = 1; i < envelopes.length; i++) {
// 内部反向
for (let j = i-1; j > -1; j--) {
if (canWrap(envelopes[i], envelopes[j])) {
dp[i] = Math.max(dp[i], dp[j] + 1);
if (dp[i] > max) {
max = dp[i];
// 提前退出
break;
}
}
}
}
console.log(envelopes)
console.log(dp)
console.log(max)
return max;
};
// ✔️
// DP + 单增高度或宽度 + 二分
var maxEnvelopes = function(envelopes) {
// 按宽度升序，高度降序，降维后可改为求高度的最长递增子序列长度
envelopes.sort((a, b) => {
if (a[0] === b[0]) {
return b[1] - a[1]
} else return a[0] - b[0]
});
const heights = envelopes.map(a => a[1]);
const tails = new Array(heights.length);
let res = 0;
for (let i = 0; i < heights.length; i++) {
const num = heights[i];
let l = 0, r = res;
// 二分替换tails元素
while (l < r) {
let m = Math.floor((l+r) / 2);
if (tails[m] < num) l = m + 1
else r = m
}
tails[l] = num;
if (res === r) res++;
}
return res;
};
const t = 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// const t = [[1,1],[3,3],[3,2],[4,2],[4,5],[5,5], [5,6],[6,8]]
console.log(new Date().valueOf())
maxEnvelopes(t);
console.log(new Date().valueOf())
//