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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#536682#5809. Min Perimeterzhicheng20 ✓6919ms12824kbC++141.0kb2024-08-29 15:42:262024-08-29 15:42:27

Judging History

你现在查看的是最新测评结果

  • [2024-08-29 15:42:27]
  • 评测
  • 测评结果:20
  • 用时:6919ms
  • 内存:12824kb
  • [2024-08-29 15:42:26]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const int N=1000010;
struct s{
	int x,y;
	bool operator<(s b){
		return x<b.x;
	}
}p[N],x[N];
double dist(s a,s b){
	return sqrt(1ll*(a.x-b.x)*(a.x-b.x)+1ll*(a.y-b.y)*(a.y-b.y));
}
double solve(int l,int r){
	int mid=(l+r)>>1,cnt=0,pos=1;
	double px=(p[mid].x+p[mid+1].x)/2.0,delta,ans;
	if(l==r){
		return 1e18;
	}
	ans=delta=min(solve(l,mid),solve(mid+1,r));
	for(int i=l;i<=r;i++){
		if(abs(px-p[i].x)<=delta/2){
			x[++cnt]=p[i];
		}
	}
	sort(x+1,x+cnt+1,[](s a,s b){return a.y<b.y;});
	for(int i=1;i<=cnt;i++){
		while(pos+1<=cnt&&x[pos+1].y-x[i].y<=delta/2){
			pos++;
		}
		for(int j=i+1;j<=pos;j++){
			for(int k=j+1;k<=pos;k++){
				ans=min(ans,dist(x[i],x[j])+dist(x[i],x[k])+dist(x[j],x[k]));
			}
		}
	}
	return ans;
}
int main(){
	int t,n;
	scanf("%d",&t);
	for(int tt=1;tt<=t;tt++){
		scanf("%d",&n);
		for(int i=1;i<=n;i++){
			scanf("%d%d",&p[i].x,&p[i].y);
		}
		sort(p+1,p+n+1);
		printf("Case #%d: %.6lf\n",tt,solve(1,n));
	}
}

详细

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 39ms
memory: 5940kb

input:

15
3
2 6
7 0
3 0
3
713 269
371 79
455 421
3
91983245 637281504
756917015 312173515
869576338 436726680
10000
14761642 78236002
9047458 47951098
5238002 27761162
476182 2523742
1428546 7571226
26190010 138805810
21904372 116092132
18094916 95902196
43332562 229660522
55237112 292754072
52380020 27761...

output:

Case #1: 17.893012
Case #2: 1042.844835
Case #3: 1711142102.791327
Case #4: 90912.296374
Case #5: 3.414214
Case #6: 26.153830
Case #7: 1701.012681
Case #8: 2865438.191994
Case #9: 2020088.337226
Case #10: 1792106.037292
Case #11: 2019352.542910
Case #12: 2530195.728018
Case #13: 930517.779631
Case #...

result:

ok correct! (15 test cases)

Subtask #2:

score: 15
Accepted

Test #2:

score: 15
Accepted
time: 6919ms
memory: 12824kb

input:

15
3
501691275 344354353
167768963 536043860
249445040 557426549
4
1000000000 0
0 0
1000000000 1000000000
0 1000000000
1000000
138925776 669369648
61257680 295150640
170762328 822763944
55483472 267329456
97736936 470914328
84041848 404928904
18463588 88960924
124429360 599523280
95066048 458045504
...

output:

Case #1: 799653579.133090
Case #2: 3414213562.373095
Case #3: 866.071591
Case #4: 62459.895370
Case #5: 59141.918359
Case #6: 898195.090968
Case #7: 1707085.769987
Case #8: 1686.226798
Case #9: 1686.603546
Case #10: 6806.665584
Case #11: 1907363.078325
Case #12: 1798829.537861
Case #13: 2000000.4819...

result:

ok correct! (15 test cases)

Extra Test:

score: 0
Extra Test Passed