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답안 #444805

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
444805 2021-07-15T11:39:37 Z kig9981 별자리 3 (JOI20_constellation3) C++17
100 / 100
 636 ms 79068 KB 
#include <bits/stdc++.h>

#ifdef NON_SUBMIT
#define TEST(n) (n)
#define tout cerr
#else
#define TEST(n) ((void)0)
#define tout cin
#endif

using namespace std;

const int SZ=1<<18;
vector<int> adj[200002], U[200002], P;
vector<pair<int,int>> Q[200002];
int node_cnt, L[200002][18], R[200002][18], A[200002], numL[200002], numR[200002], LR[200002], RR[200002], tree[2*SZ];
long long Ltree[200003], Rtree[200003], LD[200002], RD[200002];

void set_tree(int n, int v) {for(tree[n+=SZ]=v;n>>=1;) tree[n]=max(tree[2*n],tree[2*n+1]);}
void add_tree(long long *tree, int n, long long v) {for(;n<200003;n+=n&-n) tree[n]+=v;}
void add_tree(long long *tree, int s, int e, long long v) {add_tree(tree,s,v); add_tree(tree,e+1,-v);}

void dfs(int c, int *num, int *R)
{
	num[c]=++node_cnt;
	for(auto n: adj[c]) dfs(n,num,R);
	R[c]=node_cnt;
}

int get_lpos(int v)
{
	int bit=1, s=0, e=SZ-1;
	while(s<e) {
		int m=(s+e)>>1;
		if(tree[2*bit+1]>=v) tie(bit,s)=make_pair(2*bit+1,m+1);
		else tie(bit,e)=make_pair(2*bit,m);
	}
	return s;
}

int get_rpos(int v)
{
	int bit=1, s=0, e=SZ-1;
	while(s<e) {
		int m=(s+e)>>1;
		if(tree[2*bit]>=v) tie(bit,e)=make_pair(2*bit,m);
		else tie(bit,s)=make_pair(2*bit+1,m+1);
	}
	return s;
}

int get_max(int s, int e)
{
	int ret=-1;
	for(s+=SZ,e+=SZ;s<=e;s>>=1,e>>=1) {
		if(s&1) ret=max(ret,tree[s++]);
		if(~e&1) ret=max(ret,tree[e--]);
	}
	return ret;
}

void get_mp(int n1, int n2, int v, int bit=1, int s=0, int e=SZ-1)
{
	int m=(s+e)>>1;
	if(n2<n1 || n2<s || e<n1 || tree[bit]<v) return;
	if(s==e) {
		P.push_back(m);
		return;
	}
	get_mp(n1,n2,v,2*bit,s,m);
	get_mp(n1,n2,v,2*bit+1,m+1,e);
}

long long get_sum(long long *tree, int n)
{
	long long ret=0;
	for(;n;n-=n&-n) ret+=tree[n];
	return ret;
}

long long get_LD(int x)
{
	if(R[x][0]-x<2) return LD[x];
	long long temp=0; P.clear();
	get_mp(x+1,R[x][0]-1,get_max(x+1,R[x][0]-1));
	temp=RD[P[0]];
	for(auto p: P) temp+=LD[p];
	return LD[x]=min(LD[x],temp);
}

long long get_RD(int x)
{
	if(x-L[x][0]<2) return RD[x];
	long long temp=0; P.clear();
	get_mp(L[x][0]+1,x-1,get_max(L[x][0]+1,x-1));
	temp=RD[P[0]];
	for(auto p: P) temp+=LD[p];
	return RD[x]=min(RD[x],temp);
}

int main()
{
	ios::sync_with_stdio(false);
	cin.tie(NULL); cout.tie(NULL);
	TEST(freopen("input.txt","r",stdin));
	TEST(freopen("output.txt","w",stdout));
	TEST(freopen("debug.txt","w",stderr));
	int N, M;
	long long S=0;
	cin>>N; A[0]=A[N+1]=0x7fffffff;
	for(int i=1;i<=N;i++) {
		cin>>A[i];
		U[A[i]].push_back(i);
	}
	cin>>M;
	for(int i=0;i<M;i++) {
		int x, y, c;
		cin>>x>>y>>c;
		Q[y].emplace_back(x,c);
		S+=c;
	}
	set_tree(0,A[0]);
	for(int i=0;++i<=N;) {
		adj[L[i][0]=get_lpos(A[i])].push_back(i);
		set_tree(i,A[i]);
	}
	dfs(0,numL,LR); numL[N+1]=LR[N+1]=++node_cnt;
	memset(tree,0,sizeof(tree));
	set_tree(N+1,A[0]); R[N+1][0]=N+1;
	for(int i=N+1;--i;) {
		adj[R[i][0]=get_rpos(A[i])].push_back(i);
		adj[i].clear();
		set_tree(i,A[i]);
	}
	set_tree(0,A[0]);
	node_cnt=0; dfs(N+1,numR,RR); numR[0]=RR[0]=++node_cnt;
	R[0][0]=N+1; L[N+1][0]=0;
	for(int j=1;j<18;j++) for(int i=N+2;--i>=0;) {
		L[i][j]=L[L[i][j-1]][j-1];
		R[i][j]=R[R[i][j-1]][j-1];
	}
	for(int y=0;++y<=N;) {
		for(auto[x,c]: Q[y]) {
			int l=x, r=x;
			long long v;
			for(int j=18;--j>=0;) {
				if(A[L[l][j]]<y) l=L[l][j];
				if(A[R[r][j]]<y) r=R[r][j];
			}
			l=L[l][0]; r=R[r][0];
			v=get_sum(Ltree,numL[x])+get_sum(Rtree,numR[x])-c;
			LD[l]=min(LD[l],v); RD[r]=min(RD[r],v);
		}
		for(auto x: U[y]) {
			add_tree(Ltree,numL[x],LR[x],get_RD(x));
			add_tree(Rtree,numR[x],RR[x],get_LD(x));
		}
	}
	cout<<S+get_LD(0)<<'\n';
	return 0;
}

Subtask #1
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 16588 KB Output is correct
2 Correct 10 ms 16632 KB Output is correct
3 Correct 10 ms 16588 KB Output is correct
4 Correct 10 ms 16588 KB Output is correct
5 Correct 10 ms 16668 KB Output is correct
6 Correct 10 ms 16588 KB Output is correct
7 Correct 10 ms 16588 KB Output is correct
8 Correct 10 ms 16588 KB Output is correct
9 Correct 10 ms 16588 KB Output is correct
10 Correct 10 ms 16672 KB Output is correct
11 Correct 12 ms 16588 KB Output is correct
12 Correct 10 ms 16572 KB Output is correct
13 Correct 10 ms 16588 KB Output is correct
14 Correct 10 ms 16588 KB Output is correct
15 Correct 10 ms 16648 KB Output is correct
16 Correct 10 ms 16588 KB Output is correct
17 Correct 10 ms 16588 KB Output is correct
18 Correct 10 ms 16588 KB Output is correct
19 Correct 10 ms 16676 KB Output is correct
20 Correct 10 ms 16588 KB Output is correct
21 Correct 10 ms 16676 KB Output is correct
22 Correct 10 ms 16588 KB Output is correct

Subtask #2
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 16588 KB Output is correct
2 Correct 10 ms 16632 KB Output is correct
3 Correct 10 ms 16588 KB Output is correct
4 Correct 10 ms 16588 KB Output is correct
5 Correct 10 ms 16668 KB Output is correct
6 Correct 10 ms 16588 KB Output is correct
7 Correct 10 ms 16588 KB Output is correct
8 Correct 10 ms 16588 KB Output is correct
9 Correct 10 ms 16588 KB Output is correct
10 Correct 10 ms 16672 KB Output is correct
11 Correct 12 ms 16588 KB Output is correct
12 Correct 10 ms 16572 KB Output is correct
13 Correct 10 ms 16588 KB Output is correct
14 Correct 10 ms 16588 KB Output is correct
15 Correct 10 ms 16648 KB Output is correct
16 Correct 10 ms 16588 KB Output is correct
17 Correct 10 ms 16588 KB Output is correct
18 Correct 10 ms 16588 KB Output is correct
19 Correct 10 ms 16676 KB Output is correct
20 Correct 10 ms 16588 KB Output is correct
21 Correct 10 ms 16676 KB Output is correct
22 Correct 10 ms 16588 KB Output is correct
23 Correct 13 ms 16972 KB Output is correct
24 Correct 14 ms 17004 KB Output is correct
25 Correct 13 ms 17020 KB Output is correct
26 Correct 13 ms 16972 KB Output is correct
27 Correct 14 ms 17032 KB Output is correct
28 Correct 13 ms 17060 KB Output is correct
29 Correct 14 ms 17068 KB Output is correct
30 Correct 13 ms 16972 KB Output is correct
31 Correct 13 ms 17036 KB Output is correct
32 Correct 13 ms 17100 KB Output is correct
33 Correct 14 ms 17100 KB Output is correct
34 Correct 13 ms 17100 KB Output is correct
35 Correct 13 ms 17100 KB Output is correct
36 Correct 12 ms 17100 KB Output is correct
37 Correct 12 ms 17100 KB Output is correct
38 Correct 13 ms 17196 KB Output is correct
39 Correct 13 ms 17044 KB Output is correct
40 Correct 13 ms 17100 KB Output is correct
41 Correct 12 ms 17024 KB Output is correct
42 Correct 12 ms 17048 KB Output is correct
43 Correct 13 ms 17108 KB Output is correct
44 Correct 12 ms 16968 KB Output is correct

Subtask #3
65.0 / 65.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 16588 KB Output is correct
2 Correct 10 ms 16632 KB Output is correct
3 Correct 10 ms 16588 KB Output is correct
4 Correct 10 ms 16588 KB Output is correct
5 Correct 10 ms 16668 KB Output is correct
6 Correct 10 ms 16588 KB Output is correct
7 Correct 10 ms 16588 KB Output is correct
8 Correct 10 ms 16588 KB Output is correct
9 Correct 10 ms 16588 KB Output is correct
10 Correct 10 ms 16672 KB Output is correct
11 Correct 12 ms 16588 KB Output is correct
12 Correct 10 ms 16572 KB Output is correct
13 Correct 10 ms 16588 KB Output is correct
14 Correct 10 ms 16588 KB Output is correct
15 Correct 10 ms 16648 KB Output is correct
16 Correct 10 ms 16588 KB Output is correct
17 Correct 10 ms 16588 KB Output is correct
18 Correct 10 ms 16588 KB Output is correct
19 Correct 10 ms 16676 KB Output is correct
20 Correct 10 ms 16588 KB Output is correct
21 Correct 10 ms 16676 KB Output is correct
22 Correct 10 ms 16588 KB Output is correct
23 Correct 13 ms 16972 KB Output is correct
24 Correct 14 ms 17004 KB Output is correct
25 Correct 13 ms 17020 KB Output is correct
26 Correct 13 ms 16972 KB Output is correct
27 Correct 14 ms 17032 KB Output is correct
28 Correct 13 ms 17060 KB Output is correct
29 Correct 14 ms 17068 KB Output is correct
30 Correct 13 ms 16972 KB Output is correct
31 Correct 13 ms 17036 KB Output is correct
32 Correct 13 ms 17100 KB Output is correct
33 Correct 14 ms 17100 KB Output is correct
34 Correct 13 ms 17100 KB Output is correct
35 Correct 13 ms 17100 KB Output is correct
36 Correct 12 ms 17100 KB Output is correct
37 Correct 12 ms 17100 KB Output is correct
38 Correct 13 ms 17196 KB Output is correct
39 Correct 13 ms 17044 KB Output is correct
40 Correct 13 ms 17100 KB Output is correct
41 Correct 12 ms 17024 KB Output is correct
42 Correct 12 ms 17048 KB Output is correct
43 Correct 13 ms 17108 KB Output is correct
44 Correct 12 ms 16968 KB Output is correct
45 Correct 636 ms 66500 KB Output is correct
46 Correct 595 ms 65860 KB Output is correct
47 Correct 634 ms 65128 KB Output is correct
48 Correct 621 ms 66708 KB Output is correct
49 Correct 622 ms 64952 KB Output is correct
50 Correct 593 ms 64964 KB Output is correct
51 Correct 615 ms 65112 KB Output is correct
52 Correct 611 ms 66116 KB Output is correct
53 Correct 610 ms 66012 KB Output is correct
54 Correct 621 ms 72164 KB Output is correct
55 Correct 593 ms 69912 KB Output is correct
56 Correct 544 ms 69128 KB Output is correct
57 Correct 543 ms 68140 KB Output is correct
58 Correct 389 ms 68292 KB Output is correct
59 Correct 396 ms 67908 KB Output is correct
60 Correct 391 ms 79068 KB Output is correct
61 Correct 471 ms 67780 KB Output is correct
62 Correct 594 ms 75716 KB Output is correct
63 Correct 442 ms 66880 KB Output is correct
64 Correct 448 ms 66244 KB Output is correct
65 Correct 545 ms 76280 KB Output is correct
66 Correct 446 ms 66456 KB Output is correct