Submission #306395

# Submission time Handle Problem Language Result Execution time Memory
306395 2020-09-25T11:39:56 Z AngelKnows Split the Attractions (IOI19_split) C++14
100 / 100
124 ms 14836 KB
#include "split.h"
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,n) for (int i=1;i<=n;i++)
#define REP(i,a,b) for (int i=a;i<=b;i++)
 
#define pb push_back
#define fi first
#define se second
#define pi pair<int,int>
#define mp make_pair
#define sz(x) ((int)(x).size())
 
typedef long long ll;

const int inf=0x3f3f3f3f;
const ll linf=1e18;
const int N=100000+10;
const int M=200000+10; 
const double eps=1e-5;
const int mo=1e9+7;

int n,m,A,B,C,a,b,c;
int head[N];
int nxt[2*M];
int to[2*M];
int cnt;
int dfn[N],nn;
int f[N];
int sz[N];
bool colored[N];
bool found=0;
bool vis[N];
int remain;
int colors[4];
int ans[N];
bool taken[N];
bool tree_edge[2*M];
void color(int x,int fa) {
	colored[x]=1;
	int y;
	for (int i=head[x];i;i=nxt[i]) if (tree_edge[i]) {
		y=to[i];
		if (y!=fa) {
			color(y,x);
		}
	}
}
void add(int x,int y) {
	nxt[++cnt]=head[x];
	to[cnt]=y;
	head[x]=cnt;
	nxt[++cnt]=head[y];
	to[cnt]=x;
	head[y]=cnt;
}
void set_edge(int e) {
	if (e%2==0) tree_edge[e]=tree_edge[e-1]=1;
	else tree_edge[e]=tree_edge[e+1]=1;
}
void dfs(int x,int fa) {
	sz[x]=1;
	dfn[x]=++nn;
	f[x]=nn;
	int y;
	for (int i=head[x];i;i=nxt[i]) {
		y=to[i];
		if (y!=fa) {
			if (!dfn[y]) {
				set_edge(i);
				dfs(y,x);
				sz[x]+=sz[y];
				f[x]=min(f[x],f[y]);
			} else {
				f[x]=min(f[x],dfn[y]);
			}
		}
	}
}
void solve(int x,int fa) {
	int y;
	int p=0,cntb=0,sum=0;
	for (int i=head[x];i;i=nxt[i]) if (tree_edge[i]) {
		y=to[i];
		if (y!=fa) {
			if (sz[y]>=b) {
				p=y;
				cntb++;
			}
		}
	}
	if (cntb>=2) {
		color(p,x);
		found=1;
		return;
	} else if  (cntb==1) {
		if (n-sz[p]>=c) {
			color(p,x);
			found=1;
			return;
		} else {
			solve(p,x);
		}
	} else {
		sum=n-sz[x];
		for (int i=head[x];i;i=nxt[i]) if (tree_edge[i]) {
			y=to[i];
			if (y!=fa) {
				if (f[y]<dfn[x]) {
					// 有前向边连接上树
					sum+=sz[y];
					taken[y]=1;
					if (sum>=c) {
						// find
						// 注意find处理完后要退出循环 
						for (int j=head[x];j;j=nxt[j]) if (tree_edge[j]) {
							y=to[j];
							if (y!=fa) {
								if (!taken[y]) {
									color(y,x);
								}
							}
						}
						colored[x]=1;
						found=1;
						return;
					}
				}
			}
		}
		for (int i=head[x];i;i=nxt[i]) if (tree_edge[i]) {
			y=to[i];
			if (y!=fa) {
				if (f[y]>=dfn[x]&&sz[y]>=c) {
					// find
					color(y,x);
					found=1;
					return;
				}
			}
		}
		// 无解 
	}
}
void grow(int x) {
	if (remain==0) {
		return;
	}
	vis[x]=1;
	remain--;
	if (remain<=0) {
		return;
	}
	int y;
	for (int i=head[x];i;i=nxt[i]) {
		y=to[i];
		if (!vis[y]&&colored[y]==colored[x]) {
			grow(y);
		}
	}
}
vector<int> find_split(int N, int A, int B, int C, vector<int> P, vector<int> Q) {
	n=N,m=int(P.size()),a=A,b=B,c=C;
	REP(i,0,2) colors[i]=i+1;
    vector<int> res;
    if (c>a) {
    	swap(c,a);
    	swap(colors[2],colors[0]);
	}
    if (c>b){
		swap(c,b);
		swap(colors[2],colors[1]);
	}
    if (b>a) {
    	swap(a,b);
    	swap(colors[0],colors[1]);
	}
	for (int i=0;i<m;i++) add(P[i]+1,Q[i]+1);

	int maxsz=0,p=0,root=1;
	dfs(root,0);
	int y;
	for (int i=head[root];i;i=nxt[i]) if (tree_edge[i]) {
		y=to[i];
		if (maxsz<sz[y]) {
			maxsz=sz[y];
			p=y;
		}
	}
	if (c<=maxsz&&maxsz<=a) {
		color(p,root);
		found=1;
	} else if (maxsz<c) {
		// 无解 
	} else if (maxsz>a) {
		if (n-maxsz>=c) {
			color(p,root);
			found=1;
		} else if (n-maxsz<c) {
			solve(p,root);
		}
	}
	if (found) {
		int s=0;
		FOR(i,n) if (colored[i]) s++;
		if (n-s>=s) {
			FOR(i,n) if (colored[i]) {
				remain=c;
				grow(i);
				FOR(j,n) if (vis[j]) ans[j]=colors[2];
				break;
			}
			FOR(i,n) if (!colored[i]) {
				remain=b;
				grow(i);
				FOR(j,n) {
					if (vis[j]&&!ans[j]) {
						ans[j]=colors[1];
					} else if (!vis[j]) {
						ans[j]=colors[0];
					}
				}
				break;
			}
		} else {
			FOR(i,n) if (colored[i]) {
				remain=b;
				grow(i);
				FOR(j,n) if (vis[j]) ans[j]=colors[1];
				break;
			}
			FOR(i,n) if (!colored[i]) {
				remain=c;
				grow(i);
				FOR(j,n) {
					if (vis[j]&&!ans[j]) {
						ans[j]=colors[2];
					} else if (!vis[j]) {
						ans[j]=colors[0];
					}
				}
				break;
			}
		}
		FOR(i,n) res.pb(ans[i]); 
	} else {
		FOR(i,n) res.pb(0);
	}
	return res;
}
/*
int main() {
	int n, m, a, b, c;
	assert(5 == scanf("%d%d%d%d%d", &n, &m, &a, &b, &c));
	vector<int> p(m), q(m);
	for (int i=0; i<m; i++)
		assert(2 == scanf("%d%d", &p[i], &q[i]));
	fclose(stdin);

	vector<int> result = find_split(n, a, b, c, p, q);

	for (int i=0; i<(int)result.size(); i++)
		printf("%s%d", ((i>0)?" ":""), result[i]);
	printf("\n");
	fclose(stdout);
	return 0;
}*/
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB ok, correct split
2 Correct 1 ms 384 KB ok, correct split
3 Correct 1 ms 384 KB ok, correct split
4 Correct 1 ms 384 KB ok, correct split
5 Correct 1 ms 384 KB ok, correct split
6 Correct 1 ms 384 KB ok, correct split
7 Correct 68 ms 10868 KB ok, correct split
8 Correct 63 ms 9460 KB ok, correct split
9 Correct 63 ms 9204 KB ok, correct split
10 Correct 64 ms 10996 KB ok, correct split
11 Correct 67 ms 11124 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB ok, correct split
2 Correct 1 ms 384 KB ok, correct split
3 Correct 1 ms 384 KB ok, correct split
4 Correct 86 ms 10100 KB ok, correct split
5 Correct 59 ms 6392 KB ok, correct split
6 Correct 63 ms 11124 KB ok, correct split
7 Correct 63 ms 9460 KB ok, correct split
8 Correct 104 ms 9460 KB ok, correct split
9 Correct 65 ms 6644 KB ok, correct split
10 Correct 45 ms 6388 KB ok, correct split
11 Correct 47 ms 6524 KB ok, correct split
12 Correct 48 ms 6388 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB ok, correct split
2 Correct 59 ms 6516 KB ok, correct split
3 Correct 23 ms 2944 KB ok, correct split
4 Correct 0 ms 384 KB ok, correct split
5 Correct 62 ms 8052 KB ok, correct split
6 Correct 61 ms 7924 KB ok, correct split
7 Correct 62 ms 7796 KB ok, correct split
8 Correct 61 ms 8564 KB ok, correct split
9 Correct 64 ms 7668 KB ok, correct split
10 Correct 17 ms 2432 KB ok, no valid answer
11 Correct 25 ms 3200 KB ok, no valid answer
12 Correct 48 ms 6004 KB ok, no valid answer
13 Correct 49 ms 5876 KB ok, no valid answer
14 Correct 45 ms 5876 KB ok, no valid answer
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB ok, correct split
2 Correct 0 ms 384 KB ok, no valid answer
3 Correct 0 ms 384 KB ok, correct split
4 Correct 1 ms 384 KB ok, correct split
5 Correct 1 ms 384 KB ok, correct split
6 Correct 0 ms 384 KB ok, correct split
7 Correct 0 ms 384 KB ok, correct split
8 Correct 0 ms 384 KB ok, correct split
9 Correct 3 ms 640 KB ok, correct split
10 Correct 3 ms 640 KB ok, correct split
11 Correct 1 ms 384 KB ok, correct split
12 Correct 3 ms 640 KB ok, correct split
13 Correct 1 ms 512 KB ok, correct split
14 Correct 1 ms 384 KB ok, correct split
15 Correct 1 ms 384 KB ok, correct split
16 Correct 1 ms 384 KB ok, correct split
17 Correct 1 ms 384 KB ok, correct split
18 Correct 1 ms 384 KB ok, correct split
19 Correct 1 ms 384 KB ok, correct split
20 Correct 1 ms 512 KB ok, correct split
21 Correct 2 ms 584 KB ok, correct split
22 Correct 2 ms 640 KB ok, correct split
23 Correct 2 ms 640 KB ok, correct split
24 Correct 2 ms 640 KB ok, correct split
25 Correct 2 ms 640 KB ok, correct split
26 Correct 3 ms 640 KB ok, correct split
27 Correct 3 ms 640 KB ok, correct split
28 Correct 3 ms 640 KB ok, correct split
29 Correct 1 ms 384 KB ok, correct split
30 Correct 3 ms 640 KB ok, correct split
31 Correct 1 ms 512 KB ok, correct split
32 Correct 1 ms 384 KB ok, correct split
33 Correct 1 ms 384 KB ok, correct split
34 Correct 2 ms 640 KB ok, correct split
35 Correct 2 ms 640 KB ok, correct split
36 Correct 2 ms 512 KB ok, correct split
37 Correct 3 ms 640 KB ok, correct split
38 Correct 3 ms 640 KB ok, correct split
39 Correct 3 ms 640 KB ok, correct split
40 Correct 3 ms 640 KB ok, correct split
41 Correct 2 ms 512 KB ok, correct split
42 Correct 2 ms 512 KB ok, correct split
43 Correct 3 ms 640 KB ok, correct split
44 Correct 3 ms 640 KB ok, correct split
45 Correct 3 ms 640 KB ok, correct split
46 Correct 2 ms 640 KB ok, correct split
47 Correct 2 ms 512 KB ok, no valid answer
48 Correct 2 ms 640 KB ok, correct split
49 Correct 2 ms 640 KB ok, correct split
50 Correct 1 ms 384 KB ok, no valid answer
51 Correct 1 ms 384 KB ok, no valid answer
52 Correct 2 ms 512 KB ok, no valid answer
53 Correct 3 ms 640 KB ok, no valid answer
54 Correct 2 ms 512 KB ok, no valid answer
55 Correct 2 ms 640 KB ok, no valid answer
56 Correct 2 ms 640 KB ok, no valid answer
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB ok, correct split
2 Correct 1 ms 384 KB ok, correct split
3 Correct 1 ms 384 KB ok, correct split
4 Correct 1 ms 384 KB ok, correct split
5 Correct 1 ms 384 KB ok, correct split
6 Correct 1 ms 384 KB ok, correct split
7 Correct 68 ms 10868 KB ok, correct split
8 Correct 63 ms 9460 KB ok, correct split
9 Correct 63 ms 9204 KB ok, correct split
10 Correct 64 ms 10996 KB ok, correct split
11 Correct 67 ms 11124 KB ok, correct split
12 Correct 1 ms 384 KB ok, correct split
13 Correct 1 ms 384 KB ok, correct split
14 Correct 1 ms 384 KB ok, correct split
15 Correct 86 ms 10100 KB ok, correct split
16 Correct 59 ms 6392 KB ok, correct split
17 Correct 63 ms 11124 KB ok, correct split
18 Correct 63 ms 9460 KB ok, correct split
19 Correct 104 ms 9460 KB ok, correct split
20 Correct 65 ms 6644 KB ok, correct split
21 Correct 45 ms 6388 KB ok, correct split
22 Correct 47 ms 6524 KB ok, correct split
23 Correct 48 ms 6388 KB ok, correct split
24 Correct 1 ms 384 KB ok, correct split
25 Correct 59 ms 6516 KB ok, correct split
26 Correct 23 ms 2944 KB ok, correct split
27 Correct 0 ms 384 KB ok, correct split
28 Correct 62 ms 8052 KB ok, correct split
29 Correct 61 ms 7924 KB ok, correct split
30 Correct 62 ms 7796 KB ok, correct split
31 Correct 61 ms 8564 KB ok, correct split
32 Correct 64 ms 7668 KB ok, correct split
33 Correct 17 ms 2432 KB ok, no valid answer
34 Correct 25 ms 3200 KB ok, no valid answer
35 Correct 48 ms 6004 KB ok, no valid answer
36 Correct 49 ms 5876 KB ok, no valid answer
37 Correct 45 ms 5876 KB ok, no valid answer
38 Correct 0 ms 384 KB ok, correct split
39 Correct 0 ms 384 KB ok, no valid answer
40 Correct 0 ms 384 KB ok, correct split
41 Correct 1 ms 384 KB ok, correct split
42 Correct 1 ms 384 KB ok, correct split
43 Correct 0 ms 384 KB ok, correct split
44 Correct 0 ms 384 KB ok, correct split
45 Correct 0 ms 384 KB ok, correct split
46 Correct 3 ms 640 KB ok, correct split
47 Correct 3 ms 640 KB ok, correct split
48 Correct 1 ms 384 KB ok, correct split
49 Correct 3 ms 640 KB ok, correct split
50 Correct 1 ms 512 KB ok, correct split
51 Correct 1 ms 384 KB ok, correct split
52 Correct 1 ms 384 KB ok, correct split
53 Correct 1 ms 384 KB ok, correct split
54 Correct 1 ms 384 KB ok, correct split
55 Correct 1 ms 384 KB ok, correct split
56 Correct 1 ms 384 KB ok, correct split
57 Correct 1 ms 512 KB ok, correct split
58 Correct 2 ms 584 KB ok, correct split
59 Correct 2 ms 640 KB ok, correct split
60 Correct 2 ms 640 KB ok, correct split
61 Correct 2 ms 640 KB ok, correct split
62 Correct 2 ms 640 KB ok, correct split
63 Correct 3 ms 640 KB ok, correct split
64 Correct 3 ms 640 KB ok, correct split
65 Correct 3 ms 640 KB ok, correct split
66 Correct 1 ms 384 KB ok, correct split
67 Correct 3 ms 640 KB ok, correct split
68 Correct 1 ms 512 KB ok, correct split
69 Correct 1 ms 384 KB ok, correct split
70 Correct 1 ms 384 KB ok, correct split
71 Correct 2 ms 640 KB ok, correct split
72 Correct 2 ms 640 KB ok, correct split
73 Correct 2 ms 512 KB ok, correct split
74 Correct 3 ms 640 KB ok, correct split
75 Correct 3 ms 640 KB ok, correct split
76 Correct 3 ms 640 KB ok, correct split
77 Correct 3 ms 640 KB ok, correct split
78 Correct 2 ms 512 KB ok, correct split
79 Correct 2 ms 512 KB ok, correct split
80 Correct 3 ms 640 KB ok, correct split
81 Correct 3 ms 640 KB ok, correct split
82 Correct 3 ms 640 KB ok, correct split
83 Correct 2 ms 640 KB ok, correct split
84 Correct 2 ms 512 KB ok, no valid answer
85 Correct 2 ms 640 KB ok, correct split
86 Correct 2 ms 640 KB ok, correct split
87 Correct 1 ms 384 KB ok, no valid answer
88 Correct 1 ms 384 KB ok, no valid answer
89 Correct 2 ms 512 KB ok, no valid answer
90 Correct 3 ms 640 KB ok, no valid answer
91 Correct 2 ms 512 KB ok, no valid answer
92 Correct 2 ms 640 KB ok, no valid answer
93 Correct 2 ms 640 KB ok, no valid answer
94 Correct 94 ms 9844 KB ok, correct split
95 Correct 124 ms 14836 KB ok, correct split
96 Correct 104 ms 13172 KB ok, correct split
97 Correct 23 ms 3456 KB ok, correct split
98 Correct 24 ms 3584 KB ok, correct split
99 Correct 45 ms 6264 KB ok, correct split
100 Correct 108 ms 12404 KB ok, correct split
101 Correct 94 ms 10996 KB ok, correct split
102 Correct 79 ms 10740 KB ok, correct split
103 Correct 71 ms 10228 KB ok, correct split
104 Correct 90 ms 12148 KB ok, correct split
105 Correct 37 ms 5112 KB ok, correct split
106 Correct 91 ms 12148 KB ok, correct split
107 Correct 63 ms 7796 KB ok, correct split
108 Correct 61 ms 7668 KB ok, correct split
109 Correct 110 ms 11764 KB ok, correct split
110 Correct 112 ms 12148 KB ok, correct split
111 Correct 115 ms 12148 KB ok, correct split
112 Correct 101 ms 12148 KB ok, correct split
113 Correct 99 ms 12148 KB ok, correct split
114 Correct 10 ms 1792 KB ok, correct split
115 Correct 10 ms 1664 KB ok, correct split
116 Correct 102 ms 12148 KB ok, correct split
117 Correct 100 ms 11896 KB ok, correct split
118 Correct 62 ms 7668 KB ok, correct split
119 Correct 64 ms 7668 KB ok, correct split
120 Correct 63 ms 9844 KB ok, correct split
121 Correct 52 ms 7156 KB ok, no valid answer
122 Correct 50 ms 7028 KB ok, no valid answer
123 Correct 103 ms 11892 KB ok, no valid answer
124 Correct 95 ms 11764 KB ok, no valid answer
125 Correct 60 ms 8436 KB ok, no valid answer
126 Correct 42 ms 6516 KB ok, no valid answer
127 Correct 68 ms 9476 KB ok, no valid answer