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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#783227 | #7739. Knapsack | rahmanmehraj | WA | 4ms | 3844kb | C++14 | 1.5kb | 2024-11-26 02:08:09 | 2024-11-26 02:08:09 |
Judging History
answer
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
#define ll long long
// Knapsack function to maximize beauty within a budget
ll knapsack(int W, const vector<pair<int, int>>& items) {
vector<ll> dp(W + 1, 0); // dp[w] represents max beauty for budget w
for (const auto& [price, beauty] : items) {
for (int w = W; w >= price; --w) {
dp[w] = max(dp[w], dp[w - price] + beauty);
}
}
return dp[W];
}
int main() {
int n, W, k;
cin >> n >> W >> k;
vector<pair<int, int>> gemstones(n); // {price, beauty}
for (int i = 0; i < n; ++i) {
cin >> gemstones[i].first >> gemstones[i].second;
}
ll maxBeauty = 0;
for (int mask = 0; mask < (1 << n); ++mask) {
if (__builtin_popcount(mask) == k) { // Check if subset size is exactly k
ll freeBeauty = 0, freeCost = 0;
vector<pair<int, int>> remainingGemstones;
for (int i = 0; i < n; ++i) {
if (mask & (1 << i)) {
freeBeauty += gemstones[i].second; // Take this gemstone for free
} else {
remainingGemstones.push_back(gemstones[i]); // Add to items to buy
}
}
// Use knapsack to find max beauty for remaining gemstones
ll currentBeauty = freeBeauty + knapsack(W, remainingGemstones);
maxBeauty = max(maxBeauty, currentBeauty);
}
}
cout << maxBeauty << endl;
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3836kb
input:
4 10 1 9 10 10 1 3 5 5 20
output:
35
result:
ok 1 number(s): "35"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
5 13 2 5 16 5 28 7 44 8 15 8 41
output:
129
result:
ok 1 number(s): "129"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
10 50 1 44 182173741 38 163268500 36 114173760 30 521894533 25 89514235 12 516184197 42 971377551 35 28242326 31 480227821 31 388523197
output:
2009456281
result:
ok 1 number(s): "2009456281"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
10 100 3 23 51015869 9 981426050 76 243762017 64 128189636 4 718411601 48 250140255 17 340478117 68 262055220 40 370503079 4 547232664
output:
3765024872
result:
ok 1 number(s): "3765024872"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
10 500 10 430 981427684 100 458631577 32 453298334 393 716958962 82 120486064 393 561149128 182 518807793 293 950335710 332 159193263 331 280711850
output:
5201000365
result:
ok 1 number(s): "5201000365"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
10 3000 10 1325 563890842 2007 190665722 1393 874490922 548 279594682 1380 155046921 2666 894516819 770 740325614 2735 643777488 2451 754155860 1068 138544189
output:
5235009059
result:
ok 1 number(s): "5235009059"
Test #7:
score: 0
Accepted
time: 4ms
memory: 3572kb
input:
10 10000 5 108 735534045 6250 87364128 3071 66920092 9343 555321302 9070 759896065 9843 146885261 3083 364637443 7088 370871572 7802 754417134 3125 697204945
output:
4451687859
result:
ok 1 number(s): "4451687859"
Test #8:
score: -100
Wrong Answer
time: 0ms
memory: 3572kb
input:
100 50 61 24 517916473 33 497071404 40 343150837 13 559776223 2 941245278 27 987936903 7 403293890 26 68412861 28 683505315 6 173482637 31 220799032 29 815472376 42 426462445 25 470177395 43 818534622 26 137556071 15 308105056 27 745044655 28 309413241 11 61130780 36 963194467 19 701095156 5 9347020...
output:
0
result:
wrong answer 1st numbers differ - expected: '44747553879', found: '0'