mirror of
https://github.com/krahets/hello-algo.git
synced 2026-11-10 16:00:36 +08:00
Retranslate the complete English edition from Simplified Chinese (#2010)
* Retranslate the complete English edition from Simplified Chinese * Polish three English explanations after reader-focused review
This commit is contained in:
@@ -4,21 +4,21 @@
|
||||
* Author: Gaofer Chou (gaofer-chou@qq.com)
|
||||
*/
|
||||
|
||||
/* Unbounded knapsack: Dynamic programming */
|
||||
/* Unbounded knapsack: dynamic programming */
|
||||
function unboundedKnapsackDP(wgt, val, cap) {
|
||||
const n = wgt.length;
|
||||
// Initialize dp table
|
||||
// Initialize the dp table
|
||||
const dp = Array.from({ length: n + 1 }, () =>
|
||||
Array.from({ length: cap + 1 }, () => 0)
|
||||
);
|
||||
// State transition
|
||||
// State transitions
|
||||
for (let i = 1; i <= n; i++) {
|
||||
for (let c = 1; c <= cap; c++) {
|
||||
if (wgt[i - 1] > c) {
|
||||
// If exceeds knapsack capacity, don't select item i
|
||||
// If item i exceeds the remaining capacity, do not choose it
|
||||
dp[i][c] = dp[i - 1][c];
|
||||
} else {
|
||||
// The larger value between not selecting and selecting item i
|
||||
// Take the larger value obtained by excluding and including item i
|
||||
dp[i][c] = Math.max(
|
||||
dp[i - 1][c],
|
||||
dp[i][c - wgt[i - 1]] + val[i - 1]
|
||||
@@ -29,19 +29,19 @@ function unboundedKnapsackDP(wgt, val, cap) {
|
||||
return dp[n][cap];
|
||||
}
|
||||
|
||||
/* Unbounded knapsack: Space-optimized dynamic programming */
|
||||
/* Unbounded knapsack: space-optimized dynamic programming */
|
||||
function unboundedKnapsackDPComp(wgt, val, cap) {
|
||||
const n = wgt.length;
|
||||
// Initialize dp table
|
||||
// Initialize the dp table
|
||||
const dp = Array.from({ length: cap + 1 }, () => 0);
|
||||
// State transition
|
||||
// State transitions
|
||||
for (let i = 1; i <= n; i++) {
|
||||
for (let c = 1; c <= cap; c++) {
|
||||
if (wgt[i - 1] > c) {
|
||||
// If exceeds knapsack capacity, don't select item i
|
||||
// If item i exceeds the remaining capacity, do not choose it
|
||||
dp[c] = dp[c];
|
||||
} else {
|
||||
// The larger value between not selecting and selecting item i
|
||||
// Take the larger value obtained by excluding and including item i
|
||||
dp[c] = Math.max(dp[c], dp[c - wgt[i - 1]] + val[i - 1]);
|
||||
}
|
||||
}
|
||||
@@ -49,15 +49,15 @@ function unboundedKnapsackDPComp(wgt, val, cap) {
|
||||
return dp[cap];
|
||||
}
|
||||
|
||||
/* Driver Code */
|
||||
/* Driver code */
|
||||
const wgt = [1, 2, 3];
|
||||
const val = [5, 11, 15];
|
||||
const cap = 4;
|
||||
|
||||
// Dynamic programming
|
||||
let res = unboundedKnapsackDP(wgt, val, cap);
|
||||
console.log(`Maximum item value not exceeding knapsack capacity is ${res}`);
|
||||
console.log(`Maximum item value within the knapsack capacity: ${res}`);
|
||||
|
||||
// Space-optimized dynamic programming
|
||||
res = unboundedKnapsackDPComp(wgt, val, cap);
|
||||
console.log(`Maximum item value not exceeding knapsack capacity is ${res}`);
|
||||
console.log(`Maximum item value within the knapsack capacity: ${res}`);
|
||||
|
||||
Reference in New Issue
Block a user