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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#283283#6194. Knapsack Problemucup-team022WA 107ms3440kbC++172.1kb2023-12-14 12:03:322023-12-14 12:03:32

Judging History

你现在查看的是最新测评结果

  • [2023-12-14 12:03:32]
  • 评测
  • 测评结果:WA
  • 用时:107ms
  • 内存:3440kb
  • [2023-12-14 12:03:32]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double db;
typedef pair<int,int> pr;
const int mod=998244353;
const db eps=1e-9;
ll b[20],ans;
int n,c[20],N,a[20],to[20],tc[20];
bool bad;
db f[9][9],tf[9][9];
void Getinv(){
	for(int i=0;i<n;i++)f[i][i+n]=1;
	for(int i=0;i<n;i++){
		int p=i;
		while(p<n&&fabs(f[p][i])<eps)p++;
		if(p>=n)return bad=1,void();
		for(int j=i;j<n+n;j++)swap(f[p][j],f[i][j]);
		for(int j=i+1;j<n;j++){
			db v=f[j][i]/f[i][i];
			for(int k=i;k<n+n;k++)f[j][k]-=v*f[i][k];
		}
	}
	for(int i=n-1;i>=0;i--){
		db v=1/f[i][i];
		for(int j=i;j<n+n;j++)f[i][j]*=v;
		for(int j=i-1;j>=0;j--){
			db x=f[j][i];
			for(int k=i;k<n+n;k++){
				f[j][k]-=x*f[i][k];
			}
		}
	}
}
void dfs(int x){
	if(x==N){
		ll sum=0;
		for(int i=0;i<N;i++)sum+=1ll*a[i]*b[i];
		ans=max(ans,sum);
		return ;
	}
	for(int i=0;;i++){
		a[x]+=i;
		bool ok=1;
		for(int j=0;j<n;j++){
			if((x+1)&(1<<j))tc[j]-=i;
			if(tc[j]<0)ok=0;
		}
		if(!ok){
			for(int j=0;j<n;j++)if((x+1)&(1<<j))tc[j]+=i;
			a[x]-=i;
			return ;
		}
		dfs(x+1);
		for(int j=0;j<n;j++)if((x+1)&(1<<j))tc[j]+=i;
		a[x]-=i;
	}
}
void Solve(){
	cin>>n,N=(1<<n)-1;
	for(int i=0;i<N;i++)cin>>b[i];
	for(int i=0;i<n;i++)cin>>c[i];
	ans=0;
	for(int i=0;i<(1<<N);i++){
		if(__builtin_popcount(i)!=N-n)continue;
		memset(f,0,sizeof(f)),bad=0;
		int id[20]={0},tot=0;
		for(int j=0;j<N;j++){
			if(i&(1<<j))continue;
			to[tot]=j,id[j]=(tot++);
			for(int k=0;k<n;k++){
				f[k][id[j]]=((j+1)>>k)%2;
				tf[k][id[j]]=f[k][id[j]];
			}
		}
		Getinv();
		if(bad)continue;
		memset(a,0,sizeof(a));
		bool nd=0;
		for(int i=0;i<n;i++){
			db v=0;
			for(int j=0;j<n;j++)v+=c[j]*f[i][j+n];
			if(fabsl(v-roundl(v))<eps)a[to[i]]=roundl(v);
			else a[to[i]]=floorl(v),nd=1;
			if(a[to[i]]<0)bad=1;
		}
		if(bad)continue;
		//if(nd)for(int i=0;i<N;i++)a[i]=max(a[i]-1,0);
		for(int i=0;i<n;i++){
			tc[i]=c[i];
			for(int j=0;j<N;j++)if((j+1)&(1<<i))tc[i]-=a[j];
		}
		dfs(0);
	}
	cout<<ans<<'\n';
}
int main(){
	int t;
	cin>>t;
	while(t--)Solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3440kb

input:

3
2
1 2 4
4 5
3
3226252 19270256 2430652 1187613 12496062 10286165 17494834
24 85 34
4
901133 6693218 13245489 14740234 16186210 11382783 19277321 3855635 16523184 10168517 16195031 971041 10303441 8395899 11618555
529321239 218214127 92942310 207467810

output:

18
1949753378
7832404777567179

result:

ok 3 number(s): "18 1949753378 7832404777567179"

Test #2:

score: 0
Accepted
time: 107ms
memory: 3332kb

input:

100
4
4488409 9842893 14331290 11289097 15777479 21131954 25620334 6146092 10634508 15988956 20477387 17435190 21923584 27278027 31766493
200477197 258791439 590664017 982949628
4
5484152 19851747 25335961 6555937 12039831 26407861 31891996 10897184 16381166 30749333 36233145 17453055 22937114 37304...

output:

16156444320083421
24565535429631234
29418802996321901
30685727712782520
21026118053726857
27272339796311010
28831028447377015
34577176834491128
9058894962996375
21525085254465501
6657186892229297
16750628911275484
11217846865301187
12674726744043780
33873234230125448
3890237279573366
319038768614465...

result:

ok 100 numbers

Test #3:

score: 0
Accepted
time: 106ms
memory: 3440kb

input:

100
4
11618334 18295966 29914477 5116382 16734869 23412289 35030567 15002473 26620994 33298395 44916782 20118655 31737127 38414456 50032872
52573649 733715025 105771527 204824011
4
2142433 13679527 15822005 7304783 9447231 20984363 23126840 6271380 8413827 19950941 22093291 13576168 15718643 2725577...

output:

17648887427676796
21625331519839488
5123483163674640
20332898488476516
10882410276737710
25799406290369942
9021794681785918
14079661025657823
19651479225495798
19108340996997031
7502197529195960
14859286025000990
26534486448012504
21196964793845212
17222108748663918
19112873745810973
150116234459639...

result:

ok 100 numbers

Test #4:

score: -100
Wrong Answer
time: 104ms
memory: 3440kb

input:

100
4
19912840 5584811 25497404 10173442 30086113 15758284 35670730 10055784 29968204 15640365 35553036 20228929 40141706 25813818 45726645
199637398 648830099 620879036 721665690
4
7571016 7507237 15078004 19283701 26854580 26790914 34361725 2809630 10380467 10316661 17887650 22093187 29664080 2960...

output:

21172351446279597
12216316207781859
31685774482329793
36066732654517313
19340822375673782
17094361082328640
19075803268324489
23946411427126244
15750520513128720
10839993372177143
28038252774564427
12098359408203383
16661717061725678
16141878677697603
10422881545500853
23195259150880456
161145733965...

result:

wrong answer 98th numbers differ - expected: '24656983842107825', found: '24656983842107818'