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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#721548 | #7739. Knapsack | paramec1um# | WA | 1ms | 3948kb | C++20 | 1.5kb | 2024-11-07 16:22:02 | 2024-11-07 16:22:02 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
const int N=5e3+5;
const int M=1e4+5;
int n, W, k;
ll f[2][M];
struct Node{
int w, v;
bool operator<(const Node& T)const {
return w<T.w;
}
}a[N];
inline ll calc(int r){
priority_queue<int> q;
memset(f, -63, sizeof(f));
f[0][0]=0;
for(int i=1, op=1; i<=r; ++i, op^=1){
for(int j=W; j>=0; --j){
f[op][j]=f[op^1][j];
if(j-a[i].w>=0 && f[op^1][j]<f[op^1][j-a[i].w]+a[i].v){
f[op][j]=f[op^1][j-a[i].w]+a[i].v;
}
}
// cout<<"11: ";
// for(int j=W; j>=0; --j) cout<<f[op][j]<<" ";
// cout<<"\n";
}
ll ans=0;
for(int j=W; j>=0; --j){
ans=max(ans, f[r&1][j]);
}
for(int i=r+1; i<=n; ++i){
q.push(a[i].v);
}
for(int i=k; i>0; --i){
if(q.empty()) break;
ans+=q.top();
q.pop();
}
return ans;
}
int main(){
ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>n>>W>>k;
for(int i=1; i<=n; ++i) cin>>a[i].w>>a[i].v;
sort(a+1, a+1+n);
int l=1, r=n, mid=r;
ll ans=0;
while(l<r){
mid=(l+r)>>1;
ll v1=calc(mid), v2=calc(mid+1);
// cout<<mid<<"\n";
if(v1>v2){
ans=v1;
r=mid;
}else{
ans=v2;
l=mid+1;
}
}
cout<<ans<<"\n";
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3696kb
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: 3916kb
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: 3648kb
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: 0ms
memory: 3720kb
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: 3948kb
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: 1ms
memory: 3780kb
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: 1ms
memory: 3772kb
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: 3716kb
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:
43892601635
result:
wrong answer 1st numbers differ - expected: '44747553879', found: '43892601635'