Submission #576606

# Submission time Handle Problem Language Result Execution time Memory
576606 2022-06-13T08:33:54 Z pooyashams Swapping Cities (APIO20_swap) C++14
100 / 100
208 ms 28704 KB
#include "swap.h"
#include <iostream>
#include <algorithm>
#include <numeric>
#include <vector>
#include <cassert>

using namespace std;
typedef long long ll;
typedef pair<int, int> pii;

const int maxn = 2e5+10;
const int lgmx = 18;
const int inf = 1e9+69;

struct edge
{
	int x, y, z;
	inline bool operator<(const edge& o) const
	{
		return z < o.z;
	}
} edgs[maxn];

int N, M;

vector<int> comp[maxn];
int root[maxn];
bool ispath[maxn];
int fnp[maxn];
pii sars[maxn];

int epar[maxn];
int dpar[maxn];
vector<int> kids[maxn];

inline void invldp(int r, int z)
{
	if(!ispath[r]) return;
	for(int u: comp[r])
	{
		ispath[u] = false;
		fnp[u] = z;
	}
}

inline bool isin(int x, pii p)
{
	return x == p.first or x == p.second;
}

inline void mrg(int x, int y, int z)
{
	if(comp[root[x]].size() < comp[root[y]].size())
		swap(x, y);
	int rx = root[x];
	int ry = root[y];
	if(rx == ry)
	{
		invldp(rx, z);
	}
	else
	{
		if( ispath[rx] and ispath[ry] and isin(x, sars[rx]) and isin(y, sars[ry]) )
		{
			int a = sars[rx].first^sars[rx].second ^ x;
			int b = sars[ry].first^sars[ry].second ^ y;
			sars[rx] = pii(a, b);
		}
		else
		{
			invldp(rx, z);
			invldp(ry, z);
		}
		epar[ry] = z;
		dpar[ry] = rx;
		for(int u: comp[ry])
		{
			root[u] = rx;
			comp[rx].push_back(u);
		}
		comp[ry].clear();
	}
}

int tin[maxn];
int tout[maxn];
int timer = 0;

void dfs(int v)
{
	tin[v] = timer++;
	for(int u: kids[v])
		dfs(u);
	tout[v] = timer;
}

inline bool isanc(int x, int y)
{
	return (tin[x] <= tin[y] and tout[y] <= tout[x]);
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W)
{
	::N = N;
	::M = M;
	for(int i = 0; i < N; i++)
	{
		root[i] = i;
		comp[i].push_back(i);
		ispath[i] = true;
		fnp[i] = inf;
		sars[i] = pii(i, i);
		dpar[i] = i;
	}
	for(int i = 0; i < M; i++)
		edgs[i] = {V[i], U[i], W[i]};
	sort(edgs, edgs+M);
	for(int i = 0; i < M; i++)
	{
		int x = edgs[i].x;
		int y = edgs[i].y;
		int z = edgs[i].z;
		mrg(x, y, z);
	}
	int r = 0;
	for(int i = 0; i < N; i++)
	{
		if(dpar[i] != i)
			kids[dpar[i]].push_back(i);
		else
			r = i;
	}
	dfs(r);
}

int getMinimumFuelCapacity(int x, int y)
{
	int ans = max(fnp[x], fnp[y]);
	int v = x;
	while(!isanc(v, y))
	{
		ans = max(ans, epar[v]);
		v = dpar[v];
	}
	v = y;
	while(!isanc(v, x))
	{
		ans = max(ans, epar[v]);
		v = dpar[v];
	}
	if(ans == inf)
		return -1;
	return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9696 KB Output is correct
2 Correct 7 ms 9684 KB Output is correct
3 Correct 6 ms 9684 KB Output is correct
4 Correct 6 ms 9684 KB Output is correct
5 Correct 6 ms 9812 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 6 ms 9812 KB Output is correct
8 Correct 5 ms 9812 KB Output is correct
9 Correct 65 ms 20592 KB Output is correct
10 Correct 77 ms 22988 KB Output is correct
11 Correct 76 ms 22716 KB Output is correct
12 Correct 95 ms 23536 KB Output is correct
13 Correct 64 ms 20832 KB Output is correct
14 Correct 69 ms 20576 KB Output is correct
15 Correct 143 ms 24908 KB Output is correct
16 Correct 141 ms 24560 KB Output is correct
17 Correct 198 ms 25388 KB Output is correct
18 Correct 116 ms 22792 KB Output is correct
19 Correct 66 ms 15308 KB Output is correct
20 Correct 147 ms 26080 KB Output is correct
21 Correct 162 ms 25808 KB Output is correct
22 Correct 159 ms 26716 KB Output is correct
23 Correct 120 ms 24276 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9696 KB Output is correct
2 Correct 7 ms 9684 KB Output is correct
3 Correct 113 ms 22896 KB Output is correct
4 Correct 120 ms 23352 KB Output is correct
5 Correct 110 ms 23264 KB Output is correct
6 Correct 106 ms 23260 KB Output is correct
7 Correct 137 ms 23508 KB Output is correct
8 Correct 113 ms 22900 KB Output is correct
9 Correct 111 ms 23180 KB Output is correct
10 Correct 145 ms 22872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9696 KB Output is correct
2 Correct 7 ms 9684 KB Output is correct
3 Correct 6 ms 9684 KB Output is correct
4 Correct 6 ms 9684 KB Output is correct
5 Correct 6 ms 9812 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 6 ms 9812 KB Output is correct
8 Correct 5 ms 9812 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9812 KB Output is correct
11 Correct 6 ms 9812 KB Output is correct
12 Correct 5 ms 9812 KB Output is correct
13 Correct 5 ms 9812 KB Output is correct
14 Correct 6 ms 9812 KB Output is correct
15 Correct 6 ms 9812 KB Output is correct
16 Correct 7 ms 9812 KB Output is correct
17 Correct 5 ms 9812 KB Output is correct
18 Correct 5 ms 9812 KB Output is correct
19 Correct 5 ms 9812 KB Output is correct
20 Correct 6 ms 9832 KB Output is correct
21 Correct 5 ms 9812 KB Output is correct
22 Correct 5 ms 9812 KB Output is correct
23 Correct 7 ms 9760 KB Output is correct
24 Correct 6 ms 9812 KB Output is correct
25 Correct 6 ms 9812 KB Output is correct
26 Correct 7 ms 9812 KB Output is correct
27 Correct 5 ms 9812 KB Output is correct
28 Correct 8 ms 9812 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9696 KB Output is correct
3 Correct 7 ms 9684 KB Output is correct
4 Correct 6 ms 9684 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 6 ms 9812 KB Output is correct
8 Correct 6 ms 9812 KB Output is correct
9 Correct 5 ms 9812 KB Output is correct
10 Correct 65 ms 20592 KB Output is correct
11 Correct 77 ms 22988 KB Output is correct
12 Correct 76 ms 22716 KB Output is correct
13 Correct 95 ms 23536 KB Output is correct
14 Correct 64 ms 20832 KB Output is correct
15 Correct 5 ms 9812 KB Output is correct
16 Correct 6 ms 9812 KB Output is correct
17 Correct 5 ms 9812 KB Output is correct
18 Correct 5 ms 9812 KB Output is correct
19 Correct 6 ms 9812 KB Output is correct
20 Correct 6 ms 9812 KB Output is correct
21 Correct 7 ms 9812 KB Output is correct
22 Correct 5 ms 9812 KB Output is correct
23 Correct 5 ms 9812 KB Output is correct
24 Correct 5 ms 9812 KB Output is correct
25 Correct 6 ms 9832 KB Output is correct
26 Correct 5 ms 9812 KB Output is correct
27 Correct 5 ms 9812 KB Output is correct
28 Correct 7 ms 9760 KB Output is correct
29 Correct 6 ms 9812 KB Output is correct
30 Correct 6 ms 9812 KB Output is correct
31 Correct 7 ms 9812 KB Output is correct
32 Correct 5 ms 9812 KB Output is correct
33 Correct 8 ms 9812 KB Output is correct
34 Correct 13 ms 11348 KB Output is correct
35 Correct 82 ms 23544 KB Output is correct
36 Correct 85 ms 23440 KB Output is correct
37 Correct 82 ms 23208 KB Output is correct
38 Correct 89 ms 22800 KB Output is correct
39 Correct 87 ms 22624 KB Output is correct
40 Correct 93 ms 21520 KB Output is correct
41 Correct 86 ms 23548 KB Output is correct
42 Correct 95 ms 23572 KB Output is correct
43 Correct 67 ms 20936 KB Output is correct
44 Correct 80 ms 22528 KB Output is correct
45 Correct 85 ms 21348 KB Output is correct
46 Correct 95 ms 23440 KB Output is correct
47 Correct 93 ms 22340 KB Output is correct
48 Correct 82 ms 21604 KB Output is correct
49 Correct 59 ms 15404 KB Output is correct
50 Correct 50 ms 14580 KB Output is correct
51 Correct 72 ms 19412 KB Output is correct
52 Correct 121 ms 25300 KB Output is correct
53 Correct 109 ms 24468 KB Output is correct
54 Correct 128 ms 27036 KB Output is correct
55 Correct 71 ms 20980 KB Output is correct
56 Correct 102 ms 23972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9696 KB Output is correct
2 Correct 7 ms 9684 KB Output is correct
3 Correct 6 ms 9684 KB Output is correct
4 Correct 6 ms 9684 KB Output is correct
5 Correct 6 ms 9812 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 6 ms 9812 KB Output is correct
8 Correct 5 ms 9812 KB Output is correct
9 Correct 65 ms 20592 KB Output is correct
10 Correct 77 ms 22988 KB Output is correct
11 Correct 76 ms 22716 KB Output is correct
12 Correct 95 ms 23536 KB Output is correct
13 Correct 64 ms 20832 KB Output is correct
14 Correct 69 ms 20576 KB Output is correct
15 Correct 143 ms 24908 KB Output is correct
16 Correct 141 ms 24560 KB Output is correct
17 Correct 198 ms 25388 KB Output is correct
18 Correct 116 ms 22792 KB Output is correct
19 Correct 113 ms 22896 KB Output is correct
20 Correct 120 ms 23352 KB Output is correct
21 Correct 110 ms 23264 KB Output is correct
22 Correct 106 ms 23260 KB Output is correct
23 Correct 137 ms 23508 KB Output is correct
24 Correct 113 ms 22900 KB Output is correct
25 Correct 111 ms 23180 KB Output is correct
26 Correct 145 ms 22872 KB Output is correct
27 Correct 5 ms 9812 KB Output is correct
28 Correct 6 ms 9812 KB Output is correct
29 Correct 5 ms 9812 KB Output is correct
30 Correct 5 ms 9812 KB Output is correct
31 Correct 6 ms 9812 KB Output is correct
32 Correct 6 ms 9812 KB Output is correct
33 Correct 7 ms 9812 KB Output is correct
34 Correct 5 ms 9812 KB Output is correct
35 Correct 5 ms 9812 KB Output is correct
36 Correct 13 ms 11348 KB Output is correct
37 Correct 82 ms 23544 KB Output is correct
38 Correct 85 ms 23440 KB Output is correct
39 Correct 82 ms 23208 KB Output is correct
40 Correct 89 ms 22800 KB Output is correct
41 Correct 87 ms 22624 KB Output is correct
42 Correct 93 ms 21520 KB Output is correct
43 Correct 86 ms 23548 KB Output is correct
44 Correct 95 ms 23572 KB Output is correct
45 Correct 67 ms 20936 KB Output is correct
46 Correct 80 ms 22528 KB Output is correct
47 Correct 18 ms 11604 KB Output is correct
48 Correct 173 ms 25976 KB Output is correct
49 Correct 158 ms 25816 KB Output is correct
50 Correct 144 ms 25832 KB Output is correct
51 Correct 190 ms 25528 KB Output is correct
52 Correct 140 ms 24708 KB Output is correct
53 Correct 116 ms 21704 KB Output is correct
54 Correct 170 ms 26604 KB Output is correct
55 Correct 154 ms 26236 KB Output is correct
56 Correct 119 ms 23528 KB Output is correct
57 Correct 168 ms 25700 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9696 KB Output is correct
3 Correct 7 ms 9684 KB Output is correct
4 Correct 6 ms 9684 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 6 ms 9812 KB Output is correct
8 Correct 6 ms 9812 KB Output is correct
9 Correct 5 ms 9812 KB Output is correct
10 Correct 65 ms 20592 KB Output is correct
11 Correct 77 ms 22988 KB Output is correct
12 Correct 76 ms 22716 KB Output is correct
13 Correct 95 ms 23536 KB Output is correct
14 Correct 64 ms 20832 KB Output is correct
15 Correct 69 ms 20576 KB Output is correct
16 Correct 143 ms 24908 KB Output is correct
17 Correct 141 ms 24560 KB Output is correct
18 Correct 198 ms 25388 KB Output is correct
19 Correct 116 ms 22792 KB Output is correct
20 Correct 113 ms 22896 KB Output is correct
21 Correct 120 ms 23352 KB Output is correct
22 Correct 110 ms 23264 KB Output is correct
23 Correct 106 ms 23260 KB Output is correct
24 Correct 137 ms 23508 KB Output is correct
25 Correct 113 ms 22900 KB Output is correct
26 Correct 111 ms 23180 KB Output is correct
27 Correct 145 ms 22872 KB Output is correct
28 Correct 5 ms 9812 KB Output is correct
29 Correct 6 ms 9812 KB Output is correct
30 Correct 5 ms 9812 KB Output is correct
31 Correct 5 ms 9812 KB Output is correct
32 Correct 6 ms 9812 KB Output is correct
33 Correct 6 ms 9812 KB Output is correct
34 Correct 7 ms 9812 KB Output is correct
35 Correct 5 ms 9812 KB Output is correct
36 Correct 5 ms 9812 KB Output is correct
37 Correct 13 ms 11348 KB Output is correct
38 Correct 82 ms 23544 KB Output is correct
39 Correct 85 ms 23440 KB Output is correct
40 Correct 82 ms 23208 KB Output is correct
41 Correct 89 ms 22800 KB Output is correct
42 Correct 87 ms 22624 KB Output is correct
43 Correct 93 ms 21520 KB Output is correct
44 Correct 86 ms 23548 KB Output is correct
45 Correct 95 ms 23572 KB Output is correct
46 Correct 67 ms 20936 KB Output is correct
47 Correct 80 ms 22528 KB Output is correct
48 Correct 18 ms 11604 KB Output is correct
49 Correct 173 ms 25976 KB Output is correct
50 Correct 158 ms 25816 KB Output is correct
51 Correct 144 ms 25832 KB Output is correct
52 Correct 190 ms 25528 KB Output is correct
53 Correct 140 ms 24708 KB Output is correct
54 Correct 116 ms 21704 KB Output is correct
55 Correct 170 ms 26604 KB Output is correct
56 Correct 154 ms 26236 KB Output is correct
57 Correct 119 ms 23528 KB Output is correct
58 Correct 168 ms 25700 KB Output is correct
59 Correct 66 ms 15308 KB Output is correct
60 Correct 147 ms 26080 KB Output is correct
61 Correct 162 ms 25808 KB Output is correct
62 Correct 159 ms 26716 KB Output is correct
63 Correct 120 ms 24276 KB Output is correct
64 Correct 5 ms 9812 KB Output is correct
65 Correct 6 ms 9832 KB Output is correct
66 Correct 5 ms 9812 KB Output is correct
67 Correct 5 ms 9812 KB Output is correct
68 Correct 7 ms 9760 KB Output is correct
69 Correct 6 ms 9812 KB Output is correct
70 Correct 6 ms 9812 KB Output is correct
71 Correct 7 ms 9812 KB Output is correct
72 Correct 5 ms 9812 KB Output is correct
73 Correct 8 ms 9812 KB Output is correct
74 Correct 85 ms 21348 KB Output is correct
75 Correct 95 ms 23440 KB Output is correct
76 Correct 93 ms 22340 KB Output is correct
77 Correct 82 ms 21604 KB Output is correct
78 Correct 59 ms 15404 KB Output is correct
79 Correct 50 ms 14580 KB Output is correct
80 Correct 72 ms 19412 KB Output is correct
81 Correct 121 ms 25300 KB Output is correct
82 Correct 109 ms 24468 KB Output is correct
83 Correct 128 ms 27036 KB Output is correct
84 Correct 71 ms 20980 KB Output is correct
85 Correct 102 ms 23972 KB Output is correct
86 Correct 49 ms 14572 KB Output is correct
87 Correct 158 ms 25736 KB Output is correct
88 Correct 208 ms 25708 KB Output is correct
89 Correct 131 ms 23456 KB Output is correct
90 Correct 147 ms 17832 KB Output is correct
91 Correct 123 ms 18280 KB Output is correct
92 Correct 131 ms 22216 KB Output is correct
93 Correct 182 ms 27372 KB Output is correct
94 Correct 181 ms 26848 KB Output is correct
95 Correct 190 ms 28704 KB Output is correct
96 Correct 132 ms 23656 KB Output is correct
97 Correct 164 ms 25608 KB Output is correct