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double knapsack.cpp
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68 lines (66 loc) · 2.26 KB
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#include <iostream>
#include <bits/stdc++.h>
using namespace std;
pair<int, vector<int> > doubleknapsack(int N, int W, int V, int* value, int* weight, int* volumn);
int main(){
int N, W, V;
cin >> N >> W >> V;
int value[N], weight[N], volume[N];
for (int i = 0; i < N; i ++){
cin >> value[i];
}
for (int i = 0; i < N; i ++){
cin >> weight[i];
}
for (int i = 0; i < N; i ++){
cin >> volume[i];
}
pair<int, vector<int> > result;
result = doubleknapsack(N, W, V, value, weight, volume);
cout << result.first << endl;
for (int i = 0; i < result.second.size(); i ++){
cout << result.second[i] << " ";
}
}
pair<int, vector<int> > doubleknapsack(int N, int W, int V, int* value, int* weight, int* volume){
int cur_wgt = W, cur_vol = V, inx_item = N;
int*** arr = (int***) calloc((N+1), sizeof(int**));
int*** istake = (int***) calloc((N+1), sizeof(int**));
vector<int> pick;
pair<int, vector<int> > result;
for (int i = 0; i <= N; i ++){
arr[i] = (int**) calloc((W+1), sizeof(int*));
istake[i] = (int**) calloc((W+1), sizeof(int*));
}
for (int i = 0; i <= N; i ++){
for (int j = 0; j <= W; j ++){
arr[i][j] = (int*) calloc((V+1), sizeof(int));
istake[i][j] = (int*) calloc((V+1), sizeof(int));
}
}
for (int i = 1; i <= N; i ++){
for (int j = 1; j <= W; j ++){
for (int k = 1; k <= V; k ++){
if (weight[i-1] > j || volume[i-1] > k){
arr[i][j][k] = arr[i-1][j][k];
} else {
arr[i][j][k] = max(value[i-1] + arr[i-1][j-weight[i-1]][k-volume[i-1]], arr[i-1][j][k]);
}
istake[i][j][k] = (arr[i][j][k] == arr[i-1][j][k]) ? 0 : 1;
}
}
}
while (inx_item > 0){
if (istake[inx_item][cur_wgt][cur_vol] == 1){
pick.push_back(inx_item);
cur_wgt -= weight[inx_item-1];
cur_vol -= volume[inx_item-1];
inx_item -= 1;
} else {
inx_item -= 1;
}
}
sort(pick.begin(), pick.end());
result = make_pair(arr[N][W][V], pick);
return result;
}