mirror of
https://github.com/krahets/hello-algo.git
synced 2025-11-02 04:31:55 +08:00
feat: add dynamic programming code for JS and TS (#692)
* fix: Correcting typos * Add JavaScript and TypeScript code of dynamic programming. * fix: Code Style * Change ==/!= to ===/!== * Create const by default, change to let if necessary. * style fix: Delete unnecessary defined type
This commit is contained in:
@ -0,0 +1,63 @@
|
||||
/**
|
||||
* File: unbounded_knapsack.js
|
||||
* Created Time: 2023-08-23
|
||||
* Author: Gaofer Chou (gaofer-chou@qq.com)
|
||||
*/
|
||||
|
||||
/* 完全背包:动态规划 */
|
||||
function unboundedKnapsackDP(wgt, val, cap) {
|
||||
const n = wgt.length;
|
||||
// 初始化 dp 表
|
||||
const dp = Array.from({ length: n + 1 }, () =>
|
||||
Array.from({ length: cap + 1 }, () => 0)
|
||||
);
|
||||
// 状态转移
|
||||
for (let i = 1; i <= n; i++) {
|
||||
for (let c = 1; c <= cap; c++) {
|
||||
if (wgt[i - 1] > c) {
|
||||
// 若超过背包容量,则不选物品 i
|
||||
dp[i][c] = dp[i - 1][c];
|
||||
} else {
|
||||
// 不选和选物品 i 这两种方案的较大值
|
||||
dp[i][c] = Math.max(
|
||||
dp[i - 1][c],
|
||||
dp[i][c - wgt[i - 1]] + val[i - 1]
|
||||
);
|
||||
}
|
||||
}
|
||||
}
|
||||
return dp[n][cap];
|
||||
}
|
||||
|
||||
/* 完全背包:状态压缩后的动态规划 */
|
||||
function unboundedKnapsackDPComp(wgt, val, cap) {
|
||||
const n = wgt.length;
|
||||
// 初始化 dp 表
|
||||
const dp = Array.from({ length: cap + 1 }, () => 0);
|
||||
// 状态转移
|
||||
for (let i = 1; i <= n; i++) {
|
||||
for (let c = 1; c <= cap; c++) {
|
||||
if (wgt[i - 1] > c) {
|
||||
// 若超过背包容量,则不选物品 i
|
||||
dp[c] = dp[c];
|
||||
} else {
|
||||
// 不选和选物品 i 这两种方案的较大值
|
||||
dp[c] = Math.max(dp[c], dp[c - wgt[i - 1]] + val[i - 1]);
|
||||
}
|
||||
}
|
||||
}
|
||||
return dp[cap];
|
||||
}
|
||||
|
||||
/* Driver Code */
|
||||
const wgt = [1, 2, 3];
|
||||
const val = [5, 11, 15];
|
||||
const cap = 4;
|
||||
|
||||
// 动态规划
|
||||
let res = unboundedKnapsackDP(wgt, val, cap);
|
||||
console.log(`不超过背包容量的最大物品价值为 ${res}`);
|
||||
|
||||
// 状态压缩后的动态规划
|
||||
res = unboundedKnapsackDPComp(wgt, val, cap);
|
||||
console.log(`不超过背包容量的最大物品价值为 ${res}`);
|
||||
Reference in New Issue
Block a user