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Submission #284910

# Submission time Handle Problem Language Result Execution time Memory
284910 2020-08-28T07:56:36 Z tmwilliamlin168 Split the Attractions (IOI19_split) C++14
100 / 100
 266 ms 72180 KB 
#include "split.h"
#include <bits/stdc++.h>
using namespace std;

#define ar array

const int mxN=1e5;
ar<int, 2> ps[3];
vector<int> ans, adj1[mxN], adj2[2*mxN], st, adj3[mxN];
int n, tin[mxN], low[mxN], dt=1, bccI, s[2*mxN], nxt[mxN][2], it[mxN];
bool cb[mxN], bl[mxN], si[mxN];

void dfs1(int u=0, int p=-1) {
	tin[u]=low[u]=dt++;
	st.push_back(u);
	for(int v : adj1[u]) {
		if(!tin[v]) {
			int sts=st.size();
			dfs1(v, u);
			low[u]=min(low[v], low[u]);
			if(low[v]>=tin[u]) {
				while(st.size()>sts) {
					adj2[n+bccI].push_back(st.back());
					st.pop_back();
				}
				adj2[n+bccI].push_back(u);
				adj2[u].push_back(n+bccI++);
			}
		} else if(v^p)
			low[u]=min(tin[v], low[u]);
	}
}

void dfs2(int u=0, int p=-1) {
	s[u]=u<n;
	for(int v : adj2[u]) {
		if(v==p)
			continue;
		dfs2(v, u);
		s[u]+=s[v];
	}
}

void dfs4(int u, int p=-1) {
	it[dt]=u;
	tin[u]=low[u]=dt++;
	for(int v : adj3[u]) {
		if(!tin[v]) {
			dfs4(v, u);
			low[u]=min(low[v], low[u]);
		} else if(v^p)
			low[u]=min(tin[v], low[u]);
	}
}

void dfs5(int u, int p=-1) {
	tin[u]=0;
	bool d=si[it[low[u]]];
	if(~p) {
		nxt[u][!d]=p;
		nxt[u][d]=nxt[p][d];
		nxt[p][d]=u;
		if(~nxt[u][d])
			nxt[nxt[u][d]][!d]=u;
		si[p]=!d;
	}
	for(int v : adj3[u])
		if(tin[v])
			dfs5(v, u);
}

void dfs6(int u, int c, int &l) {
	if(!l)
		return;
	ans[u]=c;
	--l;
	for(int v : adj1[u])
		if(!bl[v]&&ans[v]==ps[2][1])
			dfs6(v, c, l);
}

void as(vector<int> a, vector<int> b) {
	if(ans[0])
		return;
	fill(ans.begin(), ans.end(), ps[2][1]);
	int la=ps[0][0], lb=ps[1][0];
	for(int c : b)
		bl[c]=1;
	dfs6(a[0], ps[0][1], la);
	for(int c : b)
		bl[c]=0;
	dfs6(b[0], ps[1][1], lb);
}

void dfs3(int u=0, int p=-1) {
	if(u>=n) {
		ar<int, 2> mx{};
		for(int v : adj2[u]) {
			cb[v]=1;
			mx=max(ar<int, 2>{s[v], v}, mx);
		}
		if(mx[0]>=ps[1][0]) {
			if(n-mx[0]>=ps[0][0]) {
				vector<int> a=adj2[u];
				a.erase(find(a.begin(), a.end(), mx[1]));
				as(a, {mx[1]});
			}
		} else if(mx[0]>=ps[0][0]) {
			if(n-mx[0]>=ps[1][0]) {
				vector<int> b=adj2[u];
				b.erase(find(b.begin(), b.end(), mx[1]));
				as({mx[1]}, b);
			}
		} else {
			for(int v : adj2[u])
				for(int w : adj1[v])
					if(cb[w])
						adj3[v].push_back(w);
			int cs=0, cu=adj2[u][0];
			dt=1;
			dfs4(cu);
			nxt[cu][0]=nxt[cu][1]=-1;
			si[cu]=1;
			dfs5(cu);
			vector<int> a, b;
			while(cs<ps[0][0]) {
				cs+=s[cu];
				a.push_back(cu);
				cu=nxt[cu][1];
			}
			while(~cu) {
				b.push_back(cu);
				cu=nxt[cu][1];
			}
			as(a, b);
		}
		for(int v : adj2[u]) {
			cb[v]=0;
			adj3[v].clear();
			si[v]=0;
		}
	}
	for(int v : adj2[u]) {
		if(v==p)
			continue;
		s[u]=n-s[v];
		dfs3(v, u);
	}
}

vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q) {
	::n=n;
	ps[0]={a, 1};
	ps[1]={b, 2};
	ps[2]={c, 3};
	sort(ps, ps+3);
	for(int i=0; i<p.size(); ++i) {
		adj1[p[i]].push_back(q[i]);
		adj1[q[i]].push_back(p[i]);
	}
	ans=vector<int>(n);
	dfs1();
	dfs2();
	memset(tin, 0, 4*n);
	dfs3();
	return ans;
}

Compilation message

split.cpp: In function 'void dfs1(int, int)':
split.cpp:22:20: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   22 |     while(st.size()>sts) {
      |           ~~~~~~~~~^~~~
split.cpp: In function 'std::vector<int> find_split(int, int, int, int, std::vector<int>, std::vector<int>)':
split.cpp:157:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  157 |  for(int i=0; i<p.size(); ++i) {
      |               ~^~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 7 ms 9728 KB ok, correct split
3 Correct 7 ms 9728 KB ok, correct split
4 Correct 7 ms 9728 KB ok, correct split
5 Correct 7 ms 9728 KB ok, correct split
6 Correct 7 ms 9728 KB ok, correct split
7 Correct 218 ms 72180 KB ok, correct split
8 Correct 218 ms 57588 KB ok, correct split
9 Correct 213 ms 52984 KB ok, correct split
10 Correct 117 ms 27892 KB ok, correct split
11 Correct 174 ms 32500 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 7 ms 9728 KB ok, correct split
3 Correct 7 ms 9728 KB ok, correct split
4 Correct 145 ms 24944 KB ok, correct split
5 Correct 177 ms 22648 KB ok, correct split
6 Correct 118 ms 27892 KB ok, correct split
7 Correct 230 ms 56220 KB ok, correct split
8 Correct 183 ms 20472 KB ok, correct split
9 Correct 134 ms 17912 KB ok, correct split
10 Correct 109 ms 21616 KB ok, correct split
11 Correct 110 ms 21616 KB ok, correct split
12 Correct 112 ms 21616 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 153 ms 22648 KB ok, correct split
3 Correct 59 ms 15096 KB ok, correct split
4 Correct 7 ms 9728 KB ok, correct split
5 Correct 189 ms 41080 KB ok, correct split
6 Correct 192 ms 39208 KB ok, correct split
7 Correct 188 ms 38008 KB ok, correct split
8 Correct 193 ms 46712 KB ok, correct split
9 Correct 178 ms 36984 KB ok, correct split
10 Correct 44 ms 14200 KB ok, no valid answer
11 Correct 76 ms 16376 KB ok, no valid answer
12 Correct 131 ms 22004 KB ok, no valid answer
13 Correct 142 ms 22520 KB ok, no valid answer
14 Correct 100 ms 21616 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 6 ms 9728 KB ok, no valid answer
3 Correct 6 ms 9728 KB ok, correct split
4 Correct 8 ms 9728 KB ok, correct split
5 Correct 7 ms 9728 KB ok, correct split
6 Correct 7 ms 9728 KB ok, correct split
7 Correct 6 ms 9728 KB ok, correct split
8 Correct 7 ms 9728 KB ok, correct split
9 Correct 10 ms 10112 KB ok, correct split
10 Correct 11 ms 10036 KB ok, correct split
11 Correct 7 ms 9728 KB ok, correct split
12 Correct 10 ms 10112 KB ok, correct split
13 Correct 7 ms 9728 KB ok, correct split
14 Correct 6 ms 9728 KB ok, correct split
15 Correct 7 ms 9728 KB ok, correct split
16 Correct 7 ms 9728 KB ok, correct split
17 Correct 7 ms 9728 KB ok, correct split
18 Correct 7 ms 9728 KB ok, correct split
19 Correct 7 ms 9856 KB ok, correct split
20 Correct 8 ms 9984 KB ok, correct split
21 Correct 10 ms 10496 KB ok, correct split
22 Correct 9 ms 10496 KB ok, correct split
23 Correct 9 ms 10752 KB ok, correct split
24 Correct 11 ms 10624 KB ok, correct split
25 Correct 9 ms 10496 KB ok, correct split
26 Correct 11 ms 10240 KB ok, correct split
27 Correct 10 ms 10240 KB ok, correct split
28 Correct 9 ms 10112 KB ok, correct split
29 Correct 8 ms 9728 KB ok, correct split
30 Correct 9 ms 9984 KB ok, correct split
31 Correct 7 ms 9856 KB ok, correct split
32 Correct 7 ms 9728 KB ok, correct split
33 Correct 7 ms 9728 KB ok, correct split
34 Correct 9 ms 10112 KB ok, correct split
35 Correct 10 ms 10112 KB ok, correct split
36 Correct 9 ms 10112 KB ok, correct split
37 Correct 10 ms 10240 KB ok, correct split
38 Correct 10 ms 10240 KB ok, correct split
39 Correct 10 ms 10240 KB ok, correct split
40 Correct 10 ms 10240 KB ok, correct split
41 Correct 8 ms 9984 KB ok, correct split
42 Correct 9 ms 9984 KB ok, correct split
43 Correct 9 ms 10112 KB ok, correct split
44 Correct 9 ms 10112 KB ok, correct split
45 Correct 11 ms 10112 KB ok, correct split
46 Correct 9 ms 10112 KB ok, correct split
47 Correct 9 ms 9984 KB ok, no valid answer
48 Correct 9 ms 9984 KB ok, correct split
49 Correct 9 ms 10112 KB ok, correct split
50 Correct 6 ms 9760 KB ok, no valid answer
51 Correct 6 ms 9728 KB ok, no valid answer
52 Correct 10 ms 10112 KB ok, no valid answer
53 Correct 10 ms 10112 KB ok, no valid answer
54 Correct 8 ms 9984 KB ok, no valid answer
55 Correct 14 ms 10088 KB ok, no valid answer
56 Correct 10 ms 9984 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 7 ms 9728 KB ok, correct split
3 Correct 7 ms 9728 KB ok, correct split
4 Correct 7 ms 9728 KB ok, correct split
5 Correct 7 ms 9728 KB ok, correct split
6 Correct 7 ms 9728 KB ok, correct split
7 Correct 218 ms 72180 KB ok, correct split
8 Correct 218 ms 57588 KB ok, correct split
9 Correct 213 ms 52984 KB ok, correct split
10 Correct 117 ms 27892 KB ok, correct split
11 Correct 174 ms 32500 KB ok, correct split
12 Correct 7 ms 9728 KB ok, correct split
13 Correct 7 ms 9728 KB ok, correct split
14 Correct 7 ms 9728 KB ok, correct split
15 Correct 145 ms 24944 KB ok, correct split
16 Correct 177 ms 22648 KB ok, correct split
17 Correct 118 ms 27892 KB ok, correct split
18 Correct 230 ms 56220 KB ok, correct split
19 Correct 183 ms 20472 KB ok, correct split
20 Correct 134 ms 17912 KB ok, correct split
21 Correct 109 ms 21616 KB ok, correct split
22 Correct 110 ms 21616 KB ok, correct split
23 Correct 112 ms 21616 KB ok, correct split
24 Correct 7 ms 9728 KB ok, correct split
25 Correct 153 ms 22648 KB ok, correct split
26 Correct 59 ms 15096 KB ok, correct split
27 Correct 7 ms 9728 KB ok, correct split
28 Correct 189 ms 41080 KB ok, correct split
29 Correct 192 ms 39208 KB ok, correct split
30 Correct 188 ms 38008 KB ok, correct split
31 Correct 193 ms 46712 KB ok, correct split
32 Correct 178 ms 36984 KB ok, correct split
33 Correct 44 ms 14200 KB ok, no valid answer
34 Correct 76 ms 16376 KB ok, no valid answer
35 Correct 131 ms 22004 KB ok, no valid answer
36 Correct 142 ms 22520 KB ok, no valid answer
37 Correct 100 ms 21616 KB ok, no valid answer
38 Correct 7 ms 9728 KB ok, correct split
39 Correct 6 ms 9728 KB ok, no valid answer
40 Correct 6 ms 9728 KB ok, correct split
41 Correct 8 ms 9728 KB ok, correct split
42 Correct 7 ms 9728 KB ok, correct split
43 Correct 7 ms 9728 KB ok, correct split
44 Correct 6 ms 9728 KB ok, correct split
45 Correct 7 ms 9728 KB ok, correct split
46 Correct 10 ms 10112 KB ok, correct split
47 Correct 11 ms 10036 KB ok, correct split
48 Correct 7 ms 9728 KB ok, correct split
49 Correct 10 ms 10112 KB ok, correct split
50 Correct 7 ms 9728 KB ok, correct split
51 Correct 6 ms 9728 KB ok, correct split
52 Correct 7 ms 9728 KB ok, correct split
53 Correct 7 ms 9728 KB ok, correct split
54 Correct 7 ms 9728 KB ok, correct split
55 Correct 7 ms 9728 KB ok, correct split
56 Correct 7 ms 9856 KB ok, correct split
57 Correct 8 ms 9984 KB ok, correct split
58 Correct 10 ms 10496 KB ok, correct split
59 Correct 9 ms 10496 KB ok, correct split
60 Correct 9 ms 10752 KB ok, correct split
61 Correct 11 ms 10624 KB ok, correct split
62 Correct 9 ms 10496 KB ok, correct split
63 Correct 11 ms 10240 KB ok, correct split
64 Correct 10 ms 10240 KB ok, correct split
65 Correct 9 ms 10112 KB ok, correct split
66 Correct 8 ms 9728 KB ok, correct split
67 Correct 9 ms 9984 KB ok, correct split
68 Correct 7 ms 9856 KB ok, correct split
69 Correct 7 ms 9728 KB ok, correct split
70 Correct 7 ms 9728 KB ok, correct split
71 Correct 9 ms 10112 KB ok, correct split
72 Correct 10 ms 10112 KB ok, correct split
73 Correct 9 ms 10112 KB ok, correct split
74 Correct 10 ms 10240 KB ok, correct split
75 Correct 10 ms 10240 KB ok, correct split
76 Correct 10 ms 10240 KB ok, correct split
77 Correct 10 ms 10240 KB ok, correct split
78 Correct 8 ms 9984 KB ok, correct split
79 Correct 9 ms 9984 KB ok, correct split
80 Correct 9 ms 10112 KB ok, correct split
81 Correct 9 ms 10112 KB ok, correct split
82 Correct 11 ms 10112 KB ok, correct split
83 Correct 9 ms 10112 KB ok, correct split
84 Correct 9 ms 9984 KB ok, no valid answer
85 Correct 9 ms 9984 KB ok, correct split
86 Correct 9 ms 10112 KB ok, correct split
87 Correct 6 ms 9760 KB ok, no valid answer
88 Correct 6 ms 9728 KB ok, no valid answer
89 Correct 10 ms 10112 KB ok, no valid answer
90 Correct 10 ms 10112 KB ok, no valid answer
91 Correct 8 ms 9984 KB ok, no valid answer
92 Correct 14 ms 10088 KB ok, no valid answer
93 Correct 10 ms 9984 KB ok, no valid answer
94 Correct 201 ms 27356 KB ok, correct split
95 Correct 263 ms 33140 KB ok, correct split
96 Correct 266 ms 31524 KB ok, correct split
97 Correct 54 ms 15096 KB ok, correct split
98 Correct 48 ms 14588 KB ok, correct split
99 Correct 63 ms 16248 KB ok, correct split
100 Correct 161 ms 22520 KB ok, correct split
101 Correct 179 ms 21860 KB ok, correct split
102 Correct 155 ms 21488 KB ok, correct split
103 Correct 150 ms 21648 KB ok, correct split
104 Correct 142 ms 22256 KB ok, correct split
105 Correct 91 ms 18552 KB ok, correct split
106 Correct 175 ms 27616 KB ok, correct split
107 Correct 161 ms 24056 KB ok, correct split
108 Correct 167 ms 23380 KB ok, correct split
109 Correct 201 ms 23032 KB ok, correct split
110 Correct 254 ms 26992 KB ok, correct split
111 Correct 216 ms 27076 KB ok, correct split
112 Correct 213 ms 27380 KB ok, correct split
113 Correct 212 ms 27496 KB ok, correct split
114 Correct 24 ms 11904 KB ok, correct split
115 Correct 21 ms 11648 KB ok, correct split
116 Correct 148 ms 22132 KB ok, correct split
117 Correct 158 ms 22032 KB ok, correct split
118 Correct 108 ms 18296 KB ok, correct split
119 Correct 113 ms 18680 KB ok, correct split
120 Correct 136 ms 23668 KB ok, correct split
121 Correct 136 ms 22492 KB ok, no valid answer
122 Correct 130 ms 22776 KB ok, no valid answer
123 Correct 172 ms 22776 KB ok, no valid answer
124 Correct 159 ms 22520 KB ok, no valid answer
125 Correct 116 ms 21872 KB ok, no valid answer
126 Correct 86 ms 20848 KB ok, no valid answer
127 Correct 129 ms 21492 KB ok, no valid answer