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51 lines (49 loc) · 1.31 KB
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rod cut dp.cpp
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51 lines (49 loc) · 1.31 KB
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#include <iostream>
#include <bits/stdc++.h>
#include <math.h>
using namespace std;
void rodcut(int* val, int N);
int main(){
int N;
cin >> N;
int val[N];
for (int i = 0; i < N; i ++){
cin >> val[i];
}
rodcut(val, N);
}
void rodcut(int* val, int N){
int maxprice, temp, total_price = 0, cur_len = N;
vector<int> cutway;
int** arr = new int* [2];
for (int i = 0; i < 2; i ++){
arr[i] = new int [N];
}
for (int i = 0; i < N; i ++){
arr[0][i] = val[i];
arr[1][i] = i+1;
}
for (int i = 1; i < N; i ++){
maxprice = arr[0][i];
for (int j = 1; j <= floor((i+1) / 2); j ++){
temp = maxprice;
maxprice = max(maxprice, val[j-1] + arr[0][i-j]);
if (temp != maxprice) arr[1][i] = j;
}
arr[0][i] = maxprice;
}
while (cur_len > 0){
cutway.push_back(arr[1][cur_len-1]);
cur_len -= arr[1][cur_len-1];
}
for (int i = 0; i < cutway.size(); i ++){
total_price += arr[0][cutway[i]-1];
}
cout << total_price << endl;
cout << cutway.size() << endl;
cout << N << " = ";
for (int i = 0; i < cutway.size()-1; i ++){
cout << cutway[i] << "+";
}
cout << cutway[cutway.size()-1];
}