답안 #711184

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
711184	2023-03-16T09:32:58 Z	pls33	Fireworks (APIO16_fireworks)	C++17	100 / 100	184 ms	50848 KB

fireworks

/*
 * Author: Seokhwan Choi
 * Time Complexity: O((N+M) (log (N+M))^2 )
 */

#include<stdio.h>
#include<queue>
#define MAXN 300100
int n,m;
int p[MAXN];
int c[MAXN];
struct ndata{//contains data for subtree (y=f(x), where y is minimum cost when distance to all leaf node is x
	long long int a,b;//y=ax+b at large x
	std::priority_queue<long long int> *pq;//saves slope changing points, slope change by 1 at each element
	ndata operator+(ndata r){//merge two data by adding them
		ndata s;//result(merged data)
		s.a=a+r.a;
		s.b=b+r.b;
		if(pq->size()>r.pq->size()){//merge smaller priority queue to larger priority queue
			s.pq=pq;
			while(r.pq->size()!=0){
				s.pq->push(r.pq->top());
				r.pq->pop();
			}
		}
		else{
			s.pq=r.pq;
			while(pq->size()!=0){
				s.pq->push(pq->top());
				pq->pop();
			}
		}
		return s;
	}
};
ndata d[MAXN];
int main(){
	int i;
	scanf("%d%d",&n,&m);
	for(i=2;i<=n+m;i++){
		scanf("%d%d",&p[i],&c[i]);
	}
	for(i=n+m;i>0;i--){//initiallize
		d[i].a=0;
		d[i].b=0;
		d[i].pq=new std::priority_queue<long long>;
	}
	for(i=n+m;i>n;i--){//leaf nodes
		d[i].a=1;
		d[i].b=-c[i];
		d[i].pq->push(c[i]);//slope is -1 if x<c[i], 1 if x>c[i]
		d[i].pq->push(c[i]);//slope changes by 2
		d[p[i]]=d[p[i]]+d[i];//add the data to parent node
	}
	for(i=n;i>1;i--){
		//add edge to parent node
		while(d[i].a>1){//slope over 1 is useless because we can increase only one edge(edge toward parent node)
			d[i].a--;//slope decrease by 1
			d[i].b+=d[i].pq->top();//y=ax+b=(a-1)x+(b+x) at slope changing point
			d[i].pq->pop();
		}
		long long int ta=d[i].pq->top();//increase length of slope -1 part by c[i]
		d[i].pq->pop();
		long long int tb=d[i].pq->top();
		d[i].pq->pop();
		d[i].pq->push(tb+c[i]);//move location of slope 0, 1 part by c[i]
		d[i].pq->push(ta+c[i]);
		d[i].b-=c[i];//y is decreased by c[i] at sufficiently large x (slope 1 part)
		d[p[i]]=d[p[i]]+d[i];//add the data to parent node
	}
	while(d[1].a>0){//root node, y at slope 0 is the answer because it is minimum y
		d[1].a--;
		d[1].b+=d[1].pq->top();
		d[1].pq->pop();
	}
	printf("%lld\n",d[1].b);
	return 0;
}

Compilation message

fireworks.cpp: In function 'int main()':
fireworks.cpp:39:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   39 |  scanf("%d%d",&n,&m);
      |  ~~~~~^~~~~~~~~~~~~~
fireworks.cpp:41:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   41 |   scanf("%d%d",&p[i],&c[i]);
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

#	결과	메모리	Grader output
1	Correct	212 KB	Output is correct
2	Correct	212 KB	Output is correct
3	Correct	212 KB	Output is correct
4	Correct	212 KB	Output is correct
5	Correct	212 KB	Output is correct
6	Correct	212 KB	Output is correct
7	Correct	212 KB	Output is correct
8	Correct	212 KB	Output is correct
9	Correct	212 KB	Output is correct
10	Correct	212 KB	Output is correct

Subtask #2
19.0 / 19.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	0 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	1 ms	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	1 ms	340 KB	Output is correct

Subtask #3
29.0 / 29.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	0 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	1 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	0 ms	212 KB	Output is correct
16	Correct	1 ms	212 KB	Output is correct
17	Correct	1 ms	212 KB	Output is correct
18	Correct	1 ms	212 KB	Output is correct
19	Correct	0 ms	212 KB	Output is correct
20	Correct	0 ms	212 KB	Output is correct
21	Correct	0 ms	340 KB	Output is correct
22	Correct	0 ms	340 KB	Output is correct
23	Correct	0 ms	340 KB	Output is correct
24	Correct	0 ms	212 KB	Output is correct
25	Correct	1 ms	340 KB	Output is correct
26	Correct	0 ms	340 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	1 ms	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	1 ms	344 KB	Output is correct
31	Correct	1 ms	340 KB	Output is correct
32	Correct	1 ms	468 KB	Output is correct
33	Correct	1 ms	468 KB	Output is correct
34	Correct	2 ms	596 KB	Output is correct
35	Correct	2 ms	596 KB	Output is correct
36	Correct	2 ms	724 KB	Output is correct
37	Correct	2 ms	852 KB	Output is correct
38	Correct	2 ms	852 KB	Output is correct
39	Correct	2 ms	852 KB	Output is correct
40	Correct	1 ms	596 KB	Output is correct
41	Correct	2 ms	596 KB	Output is correct
42	Correct	2 ms	596 KB	Output is correct
43	Correct	2 ms	724 KB	Output is correct
44	Correct	2 ms	852 KB	Output is correct
45	Correct	2 ms	852 KB	Output is correct
46	Correct	3 ms	980 KB	Output is correct
47	Correct	3 ms	980 KB	Output is correct
48	Correct	3 ms	852 KB	Output is correct
49	Correct	3 ms	980 KB	Output is correct
50	Correct	3 ms	852 KB	Output is correct
51	Correct	2 ms	852 KB	Output is correct
52	Correct	2 ms	852 KB	Output is correct
53	Correct	3 ms	852 KB	Output is correct
54	Correct	3 ms	980 KB	Output is correct

Subtask #4
45.0 / 45.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	0 ms	212 KB	Output is correct
8	Correct	0 ms	212 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	0 ms	212 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	1 ms	212 KB	Output is correct
14	Correct	0 ms	212 KB	Output is correct
15	Correct	0 ms	212 KB	Output is correct
16	Correct	1 ms	212 KB	Output is correct
17	Correct	1 ms	212 KB	Output is correct
18	Correct	1 ms	212 KB	Output is correct
19	Correct	0 ms	212 KB	Output is correct
20	Correct	0 ms	212 KB	Output is correct
21	Correct	0 ms	340 KB	Output is correct
22	Correct	0 ms	340 KB	Output is correct
23	Correct	0 ms	340 KB	Output is correct
24	Correct	0 ms	212 KB	Output is correct
25	Correct	1 ms	340 KB	Output is correct
26	Correct	0 ms	340 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	1 ms	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	1 ms	344 KB	Output is correct
31	Correct	1 ms	340 KB	Output is correct
32	Correct	1 ms	468 KB	Output is correct
33	Correct	1 ms	468 KB	Output is correct
34	Correct	2 ms	596 KB	Output is correct
35	Correct	2 ms	596 KB	Output is correct
36	Correct	2 ms	724 KB	Output is correct
37	Correct	2 ms	852 KB	Output is correct
38	Correct	2 ms	852 KB	Output is correct
39	Correct	2 ms	852 KB	Output is correct
40	Correct	1 ms	596 KB	Output is correct
41	Correct	2 ms	596 KB	Output is correct
42	Correct	2 ms	596 KB	Output is correct
43	Correct	2 ms	724 KB	Output is correct
44	Correct	2 ms	852 KB	Output is correct
45	Correct	2 ms	852 KB	Output is correct
46	Correct	3 ms	980 KB	Output is correct
47	Correct	3 ms	980 KB	Output is correct
48	Correct	3 ms	852 KB	Output is correct
49	Correct	3 ms	980 KB	Output is correct
50	Correct	3 ms	852 KB	Output is correct
51	Correct	2 ms	852 KB	Output is correct
52	Correct	2 ms	852 KB	Output is correct
53	Correct	3 ms	852 KB	Output is correct
54	Correct	3 ms	980 KB	Output is correct
55	Correct	6 ms	1748 KB	Output is correct
56	Correct	22 ms	6032 KB	Output is correct
57	Correct	39 ms	9932 KB	Output is correct
58	Correct	52 ms	12736 KB	Output is correct
59	Correct	71 ms	16728 KB	Output is correct
60	Correct	122 ms	20592 KB	Output is correct
61	Correct	111 ms	23780 KB	Output is correct
62	Correct	122 ms	26200 KB	Output is correct
63	Correct	159 ms	31008 KB	Output is correct
64	Correct	184 ms	32492 KB	Output is correct
65	Correct	85 ms	23704 KB	Output is correct
66	Correct	83 ms	23776 KB	Output is correct
67	Correct	80 ms	23768 KB	Output is correct
68	Correct	131 ms	30656 KB	Output is correct
69	Correct	151 ms	35912 KB	Output is correct
70	Correct	151 ms	35980 KB	Output is correct
71	Correct	169 ms	50736 KB	Output is correct
72	Correct	173 ms	50848 KB	Output is correct
73	Correct	156 ms	47272 KB	Output is correct
74	Correct	155 ms	48040 KB	Output is correct
75	Correct	151 ms	46176 KB	Output is correct
76	Correct	149 ms	46204 KB	Output is correct
77	Correct	156 ms	45240 KB	Output is correct
78	Correct	165 ms	44996 KB	Output is correct
79	Correct	149 ms	43556 KB	Output is correct

답안 #711184

Compilation message

Subtask #1 7.0 / 7.0

Subtask #2 19.0 / 19.0

Subtask #3 29.0 / 29.0

Subtask #4 45.0 / 45.0

Subtask #1
7.0 / 7.0

Subtask #2
19.0 / 19.0

Subtask #3
29.0 / 29.0

Subtask #4
45.0 / 45.0