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knapsack.cc
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#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
void knap_teh_sack(int c, int n, vector<int> &v, vector<int> &w) {
int W = c + 1;
int N = n + 1;
int *m = new int[N * W];
for (int i = 1; i < N; ++i) {
for (int j = 0; j < W; ++j) {
if (w[i-1] <= j) {
m[i*W + j] = max(m[(i-1)*W + j], m[(i-1)*W + j - w[i-1]] + v[i-1]);
} else {
m[i*W + j] = m[(i-1)*W + j];
}
}
}
vector<int> res;
int j = W - 1;
for (int i = N - 1; i > 0; --i) {
if (m[i*W + j] != m[(i-1)*W + j]) {
res.push_back(i-1);
j -= w[i-1];
}
}
cout << res.size() << endl;
for (auto i : res) {
cout << i << " ";
}
cout << endl;
}
int main()
{
while (!cin.eof()) {
double c;
int n;
cin >> c >> n;
if (cin.eof()) {
break;
}
vector<int> v, w;
for (int i = 0; i < n; i++) {
int value, weight;
cin >> value >> weight;
v.push_back(value);
w.push_back(weight);
}
knap_teh_sack(c, n, v, w);
}
return 0;
}