답안 #42441

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
42441 2018-02-27T07:39:22 Z bash Evacuation plan (IZhO18_plan) C++14
100 / 100
778 ms 65072 KB
/**
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*/
#include <bits/stdc++.h>

#define F first
#define S second
#define endl '\n'
#define pb push_back

const long long MOD = 1e9 + 7;
const long long MAXN = 1e6 + 1;
using namespace std;

typedef long long ll;

long long readInt() {
    bool minus1 = false;
    long long result = 0;
    char ch;
    ch = getchar();
    while (true) {
        if (ch == '-') break;
        if (ch >= '0' && ch <= '9') break;
        ch = getchar();
    }
    if (ch == '-') minus1 = true; else result = ch-'0';
    while (true) {
        ch = getchar();
        if (ch < '0' || ch > '9') break;
        result = result*10 + (ch - '0');
    }
    if (minus1)
        return -result;
    else
        return result;
}

int p[MAXN];
int rnk[MAXN];
int up[MAXN][18];
int mn[MAXN][18];
vector <pair <int, int> > g[MAXN];

int lvl[MAXN];
bool used[MAXN];
int d[MAXN];
int tin[MAXN];
int tout[MAXN];

int get(int v){
	if(p[v] == v) return v;
	return p[v] = get(p[v]);
}

bool Merge(int a,int b){
    a = get(a);
    b = get(b);
    if(a == b) return 0;
    if(rnk[a] > rnk[b]) swap(a,b);
    rnk[b] += rnk[a];
    p[a] = b;
    return 1;
}

int timer = 0;

void dfs(int v, int par) {
	tin[v] = ++timer;
	lvl[v] = lvl[par] + 1;
	for (auto i : g[v]) {
		if (i.first != par) {
			up[i.first][0] = v;
			mn[i.first][0] = i.second;
			dfs(i.first, v);
		}
	}
	tout[v] = timer;	
}      

bool in(int u,int v){
	return (tin[u] <= tin[v] && tout[u] >= tout[v]);
}

int lca(int u,int v){
	if(in(u,v)) return u;
	if(in(v,u)) return v;
	for(int i = 17; i >= 0; i--){
		if(up[v][i] != -1 && !in(up[v][i], u)) v = up[v][i];
	}
	return up[v][0];
}

int get(int v,int u){
    if(v == u) return 1e9;
    int res = 1e9;
    for(int i = 17; i >= 0; i--){
    	if(up[v][i] != -1 && !in(up[v][i], u)){
    		res = min(res, mn[v][i]);
    		v = up[v][i];
    	}
    }
    return min(res, mn[v][0]);
}

int get_min(int u,int v){
	int l = lca(u,v);
	return min(get(u,l), get(v,l));
}


int main() {
	#ifdef IZI_KATKA
	assert(freopen("input", "r", stdin));
    assert(freopen("output", "w", stdout));
    #endif
    int n = readInt(), m = readInt();
    vector <pair <int, pair <int, int> > > vec;
    for (int i = 1; i <= m; i++) {
    	int u = readInt(), v = readInt(), w = readInt();
    	g[u].pb({v, w});
    	g[v].pb({u, w});
    	vec.pb({w, {u, v}});
    }
    int k = readInt();
	for (int i = 1; i <= n; i++) {
		d[i] = 1e9;
	}    
    set < pair<int,int> > q;
    for (int i = 1; i <= k; i++) {
    	int x = readInt();
    	d[x] = 0;
		q.insert({0, x});
    }
	while (!q.empty()) {
		int v = q.begin()->second;
		q.erase (q.begin());
		if (used[v]) continue;
		used[v] = 1; 
		for (size_t j=0; j<g[v].size(); ++j) {
			int to = g[v][j].first,
				len = g[v][j].second;
			if (d[v] + len < d[to]) {
				q.erase (make_pair (d[to], to));
				d[to] = d[v] + len;
				q.insert (make_pair (d[to], to));
			}
		}
	}
	for (int i = 1; i <= n; i++) {
		g[i].clear();
		p[i] = i;
		rnk[i] = 1;
	}
	for(int i = 0; i < m; i++)	{
		vec[i].first = min(d[vec[i].second.first], d[vec[i].second.second]); 
	}
	sort(vec.begin(), vec.end());
	reverse(vec.begin(), vec.end());
	for (int i = 0; i < m; i++) {
		if (Merge(vec[i].second.first, vec[i].second.second)) {
			g[vec[i].second.first].pb({vec[i].second.second, vec[i].first});
			g[vec[i].second.second].pb({vec[i].second.first, vec[i].first});
		}
	}
	for (int i = 1; i <= n; i++) {
		for (int j = 0; j <= 17; j++) {
			mn[i][j] = 1e9;
			up[i][j] = -1;
		}
	}
	dfs(1, 0);
	for(int j = 1; j <= 17; j++){
	    for(int i = 1; i <= n; i++) if(up[i][j - 1] != -1){
	        up[i][j] = up[up[i][j - 1]][j - 1];
	        mn[i][j] = min(mn[i][j - 1], mn[up[i][j - 1]][j - 1]);
	    }
	}        
	int Q = readInt();
	while(Q--) {
		int v = readInt(), u = readInt();
		cout << get_min(u, v) << endl;
	}
	return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 23 ms 23800 KB Output is correct
2 Correct 24 ms 24056 KB Output is correct
3 Correct 24 ms 24060 KB Output is correct
4 Correct 23 ms 23812 KB Output is correct
5 Correct 24 ms 24056 KB Output is correct
6 Correct 24 ms 24184 KB Output is correct
7 Correct 23 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 24 ms 24056 KB Output is correct
10 Correct 24 ms 24056 KB Output is correct
11 Correct 24 ms 24056 KB Output is correct
12 Correct 25 ms 24184 KB Output is correct
13 Correct 24 ms 24060 KB Output is correct
14 Correct 25 ms 24184 KB Output is correct
15 Correct 24 ms 24184 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 23 ms 23800 KB Output is correct
2 Correct 24 ms 24056 KB Output is correct
3 Correct 24 ms 24060 KB Output is correct
4 Correct 23 ms 23812 KB Output is correct
5 Correct 24 ms 24056 KB Output is correct
6 Correct 24 ms 24184 KB Output is correct
7 Correct 23 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 24 ms 24056 KB Output is correct
10 Correct 24 ms 24056 KB Output is correct
11 Correct 24 ms 24056 KB Output is correct
12 Correct 25 ms 24184 KB Output is correct
13 Correct 24 ms 24060 KB Output is correct
14 Correct 25 ms 24184 KB Output is correct
15 Correct 24 ms 24184 KB Output is correct
16 Correct 242 ms 43456 KB Output is correct
17 Correct 727 ms 63796 KB Output is correct
18 Correct 69 ms 28468 KB Output is correct
19 Correct 224 ms 51176 KB Output is correct
20 Correct 716 ms 64224 KB Output is correct
21 Correct 406 ms 53256 KB Output is correct
22 Correct 224 ms 51244 KB Output is correct
23 Correct 778 ms 63956 KB Output is correct
24 Correct 735 ms 64584 KB Output is correct
25 Correct 734 ms 64372 KB Output is correct
26 Correct 231 ms 51252 KB Output is correct
27 Correct 238 ms 51344 KB Output is correct
28 Correct 244 ms 51152 KB Output is correct
29 Correct 237 ms 51356 KB Output is correct
30 Correct 235 ms 51592 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 27 ms 23800 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23880 KB Output is correct
4 Correct 23 ms 23800 KB Output is correct
5 Correct 23 ms 23900 KB Output is correct
6 Correct 22 ms 23928 KB Output is correct
7 Correct 22 ms 23800 KB Output is correct
8 Correct 23 ms 23800 KB Output is correct
9 Correct 23 ms 23928 KB Output is correct
10 Correct 23 ms 23924 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 325 ms 51264 KB Output is correct
2 Correct 653 ms 63464 KB Output is correct
3 Correct 666 ms 63900 KB Output is correct
4 Correct 165 ms 48252 KB Output is correct
5 Correct 659 ms 63896 KB Output is correct
6 Correct 682 ms 63912 KB Output is correct
7 Correct 649 ms 63904 KB Output is correct
8 Correct 664 ms 63936 KB Output is correct
9 Correct 653 ms 63728 KB Output is correct
10 Correct 662 ms 64024 KB Output is correct
11 Correct 683 ms 64020 KB Output is correct
12 Correct 702 ms 63904 KB Output is correct
13 Correct 668 ms 63936 KB Output is correct
14 Correct 687 ms 63484 KB Output is correct
15 Correct 676 ms 63276 KB Output is correct
16 Correct 711 ms 63136 KB Output is correct
17 Correct 686 ms 63348 KB Output is correct
18 Correct 647 ms 63400 KB Output is correct
19 Correct 155 ms 49468 KB Output is correct
20 Correct 664 ms 63372 KB Output is correct
21 Correct 617 ms 64312 KB Output is correct
22 Correct 186 ms 50344 KB Output is correct
23 Correct 164 ms 45908 KB Output is correct
24 Correct 182 ms 50236 KB Output is correct
25 Correct 179 ms 50540 KB Output is correct
26 Correct 187 ms 46860 KB Output is correct
27 Correct 159 ms 50036 KB Output is correct
28 Correct 176 ms 51436 KB Output is correct
29 Correct 163 ms 48556 KB Output is correct
30 Correct 178 ms 51100 KB Output is correct
31 Correct 166 ms 49104 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 23 ms 23800 KB Output is correct
2 Correct 24 ms 24056 KB Output is correct
3 Correct 24 ms 24060 KB Output is correct
4 Correct 23 ms 23812 KB Output is correct
5 Correct 24 ms 24056 KB Output is correct
6 Correct 24 ms 24184 KB Output is correct
7 Correct 23 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 24 ms 24056 KB Output is correct
10 Correct 24 ms 24056 KB Output is correct
11 Correct 24 ms 24056 KB Output is correct
12 Correct 25 ms 24184 KB Output is correct
13 Correct 24 ms 24060 KB Output is correct
14 Correct 25 ms 24184 KB Output is correct
15 Correct 24 ms 24184 KB Output is correct
16 Correct 242 ms 43456 KB Output is correct
17 Correct 727 ms 63796 KB Output is correct
18 Correct 69 ms 28468 KB Output is correct
19 Correct 224 ms 51176 KB Output is correct
20 Correct 716 ms 64224 KB Output is correct
21 Correct 406 ms 53256 KB Output is correct
22 Correct 224 ms 51244 KB Output is correct
23 Correct 778 ms 63956 KB Output is correct
24 Correct 735 ms 64584 KB Output is correct
25 Correct 734 ms 64372 KB Output is correct
26 Correct 231 ms 51252 KB Output is correct
27 Correct 238 ms 51344 KB Output is correct
28 Correct 244 ms 51152 KB Output is correct
29 Correct 237 ms 51356 KB Output is correct
30 Correct 235 ms 51592 KB Output is correct
31 Correct 27 ms 23800 KB Output is correct
32 Correct 23 ms 23800 KB Output is correct
33 Correct 23 ms 23880 KB Output is correct
34 Correct 23 ms 23800 KB Output is correct
35 Correct 23 ms 23900 KB Output is correct
36 Correct 22 ms 23928 KB Output is correct
37 Correct 22 ms 23800 KB Output is correct
38 Correct 23 ms 23800 KB Output is correct
39 Correct 23 ms 23928 KB Output is correct
40 Correct 23 ms 23924 KB Output is correct
41 Correct 325 ms 51264 KB Output is correct
42 Correct 653 ms 63464 KB Output is correct
43 Correct 666 ms 63900 KB Output is correct
44 Correct 165 ms 48252 KB Output is correct
45 Correct 659 ms 63896 KB Output is correct
46 Correct 682 ms 63912 KB Output is correct
47 Correct 649 ms 63904 KB Output is correct
48 Correct 664 ms 63936 KB Output is correct
49 Correct 653 ms 63728 KB Output is correct
50 Correct 662 ms 64024 KB Output is correct
51 Correct 683 ms 64020 KB Output is correct
52 Correct 702 ms 63904 KB Output is correct
53 Correct 668 ms 63936 KB Output is correct
54 Correct 687 ms 63484 KB Output is correct
55 Correct 676 ms 63276 KB Output is correct
56 Correct 711 ms 63136 KB Output is correct
57 Correct 686 ms 63348 KB Output is correct
58 Correct 647 ms 63400 KB Output is correct
59 Correct 155 ms 49468 KB Output is correct
60 Correct 664 ms 63372 KB Output is correct
61 Correct 617 ms 64312 KB Output is correct
62 Correct 186 ms 50344 KB Output is correct
63 Correct 164 ms 45908 KB Output is correct
64 Correct 182 ms 50236 KB Output is correct
65 Correct 179 ms 50540 KB Output is correct
66 Correct 187 ms 46860 KB Output is correct
67 Correct 159 ms 50036 KB Output is correct
68 Correct 176 ms 51436 KB Output is correct
69 Correct 163 ms 48556 KB Output is correct
70 Correct 178 ms 51100 KB Output is correct
71 Correct 166 ms 49104 KB Output is correct
72 Correct 413 ms 53196 KB Output is correct
73 Correct 737 ms 65072 KB Output is correct
74 Correct 729 ms 64768 KB Output is correct
75 Correct 731 ms 63556 KB Output is correct
76 Correct 720 ms 63304 KB Output is correct
77 Correct 739 ms 63960 KB Output is correct
78 Correct 746 ms 64144 KB Output is correct
79 Correct 769 ms 63916 KB Output is correct
80 Correct 771 ms 63608 KB Output is correct
81 Correct 714 ms 63996 KB Output is correct
82 Correct 743 ms 63656 KB Output is correct
83 Correct 765 ms 63528 KB Output is correct
84 Correct 755 ms 63992 KB Output is correct
85 Correct 749 ms 64116 KB Output is correct
86 Correct 769 ms 63876 KB Output is correct
87 Correct 774 ms 64212 KB Output is correct
88 Correct 753 ms 64108 KB Output is correct
89 Correct 334 ms 50396 KB Output is correct
90 Correct 757 ms 64152 KB Output is correct
91 Correct 662 ms 64604 KB Output is correct
92 Correct 235 ms 51436 KB Output is correct
93 Correct 326 ms 47352 KB Output is correct
94 Correct 249 ms 51448 KB Output is correct
95 Correct 251 ms 51612 KB Output is correct
96 Correct 306 ms 47556 KB Output is correct
97 Correct 306 ms 49248 KB Output is correct
98 Correct 264 ms 51356 KB Output is correct
99 Correct 295 ms 50536 KB Output is correct
100 Correct 261 ms 51700 KB Output is correct