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Submission #303251

# Submission time Handle Problem Language Result Execution time Memory
303251 2020-09-20T06:01:35 Z nafis_shifat Swapping Cities (APIO20_swap) C++14
100 / 100
 521 ms 31672 KB 
#include "swap.h"
#include<bits/stdc++.h>
#define pii pair<int,int>
using namespace std;
const int mxn=2e5+1;
const int inf=2e9;
int L[mxn],R[mxn],cost[mxn];



int n,m;
vector<int> sorted;


struct reachability_tree {
	int par[mxn];
	int lineW[mxn];
	int sz[mxn];
	int start[mxn];
	int end[mxn];
	int pw[mxn];

	vector<int> w[mxn];
	vector<int> li[mxn];
	void init(int n) {
		for(int j=0;j<n;j++) {
			sz[j]=1;
			par[j]=j;
			start[j]=j;
		    end[j]=j;
		    lineW[j]=inf;
		}
	}

	int findrep(int u) {
		return par[u]==u ? u : findrep(par[u]);
	}

	void join(int u,int v,int weight) {
		int _u=findrep(u);
		int _v=findrep(v);
		if(_u==_v) {
			lineW[_u]=min(lineW[_u],weight);
			w[_u].push_back(weight);
			li[_u].push_back(lineW[_u]);
			return;
		}

		if(sz[_u]>sz[_v]) {
			swap(_u,_v);
			swap(u,v);
		}

		par[_u]=_v;
		sz[_v]+=sz[_u];
		pw[_u]=weight;

		lineW[_v]=min(lineW[_v],lineW[_u]);
		if(lineW[_v]==inf && ((u==start[_u] || u==end[_u]) && (v==start[_v] || v==end[_v]))) {
			if(v==start[_v]) {
				start[_v]=end[_v];
				end[_v]=start[_u] ^ end[_u] ^ u;
			} else {
				end[_v]=start[_u] ^ end[_u] ^ u;
			}
		} else {
			lineW[_v]=min(lineW[_v],weight);
		}

		w[_v].push_back(weight);
		li[_v].push_back(lineW[_v]);




	}

	int goup(int u,int weight) {

		while(par[u]!=u && pw[u]<=weight) {
			u=par[u];
		}
	
		return u;
	}

	bool check(int x,int weight) {
		int k=upper_bound(w[x].begin(),w[x].end(),weight)-w[x].begin();
		if(k==0) return false;
		int v=li[x][k-1];
		return v<=weight;
	}


} rt;











void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
	n=N;
	m=M;
	for(int i=0;i<M;i++) {
		L[i]=U[i];
		R[i]=V[i];
		cost[i]=W[i];
		sorted.push_back(i);
		
	}

	sort(sorted.begin(),sorted.end(),[](int a,int b) {
		return cost[a]<cost[b];
	});
	rt.init(n);

	for(int i=0;i<m;i++) {

		int u=L[sorted[i]];
		int v=R[sorted[i]];
		int c=cost[sorted[i]];
		rt.join(u,v,c);

	}

   
}




int getMinimumFuelCapacity(int X, int Y) {

	int lo=0;
	int hi=m-1;
	int ans=-1;
	while(lo<=hi) {
		int m=lo+hi>>1;
		int v=cost[sorted[m]];
		int a=rt.goup(X,v);
		int b=rt.goup(Y,v);
		if(a==b && rt.check(a,v)) {
			ans=v;
			hi=m-1;
		} else {
			lo=m+1;
		}

	}

	return ans;
}

Compilation message

swap.cpp: In function 'int getMinimumFuelCapacity(int, int)':
swap.cpp:144:11: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  144 |   int m=lo+hi>>1;
      |         ~~^~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9856 KB Output is correct
6 Correct 8 ms 9856 KB Output is correct
7 Correct 8 ms 9856 KB Output is correct
8 Correct 8 ms 9856 KB Output is correct
9 Correct 86 ms 18416 KB Output is correct
10 Correct 110 ms 20340 KB Output is correct
11 Correct 113 ms 20208 KB Output is correct
12 Correct 117 ms 20848 KB Output is correct
13 Correct 77 ms 19312 KB Output is correct
14 Correct 106 ms 18800 KB Output is correct
15 Correct 306 ms 24572 KB Output is correct
16 Correct 302 ms 24352 KB Output is correct
17 Correct 307 ms 24920 KB Output is correct
18 Correct 239 ms 23640 KB Output is correct
19 Correct 150 ms 16632 KB Output is correct
20 Correct 299 ms 25588 KB Output is correct
21 Correct 302 ms 25648 KB Output is correct
22 Correct 320 ms 26368 KB Output is correct
23 Correct 252 ms 25048 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 322 ms 23828 KB Output is correct
4 Correct 329 ms 23896 KB Output is correct
5 Correct 343 ms 24328 KB Output is correct
6 Correct 316 ms 23896 KB Output is correct
7 Correct 330 ms 24176 KB Output is correct
8 Correct 325 ms 23828 KB Output is correct
9 Correct 327 ms 23888 KB Output is correct
10 Correct 321 ms 23852 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 7 ms 9856 KB Output is correct
7 Correct 8 ms 9856 KB Output is correct
8 Correct 8 ms 9856 KB Output is correct
9 Correct 8 ms 9856 KB Output is correct
10 Correct 9 ms 9856 KB Output is correct
11 Correct 8 ms 9856 KB Output is correct
12 Correct 9 ms 9856 KB Output is correct
13 Correct 7 ms 9856 KB Output is correct
14 Correct 7 ms 9856 KB Output is correct
15 Correct 8 ms 9856 KB Output is correct
16 Correct 8 ms 9856 KB Output is correct
17 Correct 7 ms 9856 KB Output is correct
18 Correct 8 ms 9856 KB Output is correct
19 Correct 7 ms 9856 KB Output is correct
20 Correct 7 ms 9856 KB Output is correct
21 Correct 8 ms 9856 KB Output is correct
22 Correct 8 ms 9856 KB Output is correct
23 Correct 7 ms 9856 KB Output is correct
24 Correct 8 ms 9856 KB Output is correct
25 Correct 8 ms 9856 KB Output is correct
26 Correct 8 ms 9856 KB Output is correct
27 Correct 8 ms 9856 KB Output is correct
28 Correct 8 ms 9856 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 7 ms 9856 KB Output is correct
7 Correct 8 ms 9856 KB Output is correct
8 Correct 8 ms 9856 KB Output is correct
9 Correct 8 ms 9856 KB Output is correct
10 Correct 86 ms 18416 KB Output is correct
11 Correct 110 ms 20340 KB Output is correct
12 Correct 113 ms 20208 KB Output is correct
13 Correct 117 ms 20848 KB Output is correct
14 Correct 77 ms 19312 KB Output is correct
15 Correct 9 ms 9856 KB Output is correct
16 Correct 8 ms 9856 KB Output is correct
17 Correct 9 ms 9856 KB Output is correct
18 Correct 7 ms 9856 KB Output is correct
19 Correct 7 ms 9856 KB Output is correct
20 Correct 8 ms 9856 KB Output is correct
21 Correct 8 ms 9856 KB Output is correct
22 Correct 7 ms 9856 KB Output is correct
23 Correct 8 ms 9856 KB Output is correct
24 Correct 17 ms 11136 KB Output is correct
25 Correct 110 ms 20464 KB Output is correct
26 Correct 112 ms 20596 KB Output is correct
27 Correct 109 ms 20464 KB Output is correct
28 Correct 108 ms 20336 KB Output is correct
29 Correct 112 ms 20208 KB Output is correct
30 Correct 97 ms 19184 KB Output is correct
31 Correct 116 ms 20852 KB Output is correct
32 Correct 110 ms 20468 KB Output is correct
33 Correct 70 ms 19440 KB Output is correct
34 Correct 114 ms 20464 KB Output is correct
35 Correct 7 ms 9856 KB Output is correct
36 Correct 7 ms 9856 KB Output is correct
37 Correct 8 ms 9856 KB Output is correct
38 Correct 8 ms 9856 KB Output is correct
39 Correct 7 ms 9856 KB Output is correct
40 Correct 8 ms 9856 KB Output is correct
41 Correct 8 ms 9856 KB Output is correct
42 Correct 8 ms 9856 KB Output is correct
43 Correct 8 ms 9856 KB Output is correct
44 Correct 8 ms 9856 KB Output is correct
45 Correct 129 ms 23288 KB Output is correct
46 Correct 114 ms 20592 KB Output is correct
47 Correct 114 ms 20468 KB Output is correct
48 Correct 108 ms 20924 KB Output is correct
49 Correct 101 ms 21100 KB Output is correct
50 Correct 83 ms 18536 KB Output is correct
51 Correct 106 ms 21232 KB Output is correct
52 Correct 170 ms 25196 KB Output is correct
53 Correct 185 ms 26220 KB Output is correct
54 Correct 190 ms 28012 KB Output is correct
55 Correct 72 ms 19312 KB Output is correct
56 Correct 165 ms 25580 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9856 KB Output is correct
6 Correct 8 ms 9856 KB Output is correct
7 Correct 8 ms 9856 KB Output is correct
8 Correct 8 ms 9856 KB Output is correct
9 Correct 86 ms 18416 KB Output is correct
10 Correct 110 ms 20340 KB Output is correct
11 Correct 113 ms 20208 KB Output is correct
12 Correct 117 ms 20848 KB Output is correct
13 Correct 77 ms 19312 KB Output is correct
14 Correct 106 ms 18800 KB Output is correct
15 Correct 306 ms 24572 KB Output is correct
16 Correct 302 ms 24352 KB Output is correct
17 Correct 307 ms 24920 KB Output is correct
18 Correct 239 ms 23640 KB Output is correct
19 Correct 322 ms 23828 KB Output is correct
20 Correct 329 ms 23896 KB Output is correct
21 Correct 343 ms 24328 KB Output is correct
22 Correct 316 ms 23896 KB Output is correct
23 Correct 330 ms 24176 KB Output is correct
24 Correct 325 ms 23828 KB Output is correct
25 Correct 327 ms 23888 KB Output is correct
26 Correct 321 ms 23852 KB Output is correct
27 Correct 9 ms 9856 KB Output is correct
28 Correct 8 ms 9856 KB Output is correct
29 Correct 9 ms 9856 KB Output is correct
30 Correct 7 ms 9856 KB Output is correct
31 Correct 7 ms 9856 KB Output is correct
32 Correct 8 ms 9856 KB Output is correct
33 Correct 8 ms 9856 KB Output is correct
34 Correct 7 ms 9856 KB Output is correct
35 Correct 8 ms 9856 KB Output is correct
36 Correct 17 ms 11136 KB Output is correct
37 Correct 110 ms 20464 KB Output is correct
38 Correct 112 ms 20596 KB Output is correct
39 Correct 109 ms 20464 KB Output is correct
40 Correct 108 ms 20336 KB Output is correct
41 Correct 112 ms 20208 KB Output is correct
42 Correct 97 ms 19184 KB Output is correct
43 Correct 116 ms 20852 KB Output is correct
44 Correct 110 ms 20468 KB Output is correct
45 Correct 70 ms 19440 KB Output is correct
46 Correct 114 ms 20464 KB Output is correct
47 Correct 34 ms 11668 KB Output is correct
48 Correct 310 ms 25592 KB Output is correct
49 Correct 311 ms 25432 KB Output is correct
50 Correct 315 ms 25432 KB Output is correct
51 Correct 323 ms 25444 KB Output is correct
52 Correct 308 ms 24736 KB Output is correct
53 Correct 279 ms 22760 KB Output is correct
54 Correct 315 ms 26456 KB Output is correct
55 Correct 304 ms 25432 KB Output is correct
56 Correct 285 ms 24152 KB Output is correct
57 Correct 337 ms 26072 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB Output is correct
2 Correct 7 ms 9728 KB Output is correct
3 Correct 7 ms 9728 KB Output is correct
4 Correct 7 ms 9728 KB Output is correct
5 Correct 7 ms 9728 KB Output is correct
6 Correct 7 ms 9856 KB Output is correct
7 Correct 8 ms 9856 KB Output is correct
8 Correct 8 ms 9856 KB Output is correct
9 Correct 8 ms 9856 KB Output is correct
10 Correct 86 ms 18416 KB Output is correct
11 Correct 110 ms 20340 KB Output is correct
12 Correct 113 ms 20208 KB Output is correct
13 Correct 117 ms 20848 KB Output is correct
14 Correct 77 ms 19312 KB Output is correct
15 Correct 106 ms 18800 KB Output is correct
16 Correct 306 ms 24572 KB Output is correct
17 Correct 302 ms 24352 KB Output is correct
18 Correct 307 ms 24920 KB Output is correct
19 Correct 239 ms 23640 KB Output is correct
20 Correct 322 ms 23828 KB Output is correct
21 Correct 329 ms 23896 KB Output is correct
22 Correct 343 ms 24328 KB Output is correct
23 Correct 316 ms 23896 KB Output is correct
24 Correct 330 ms 24176 KB Output is correct
25 Correct 325 ms 23828 KB Output is correct
26 Correct 327 ms 23888 KB Output is correct
27 Correct 321 ms 23852 KB Output is correct
28 Correct 9 ms 9856 KB Output is correct
29 Correct 8 ms 9856 KB Output is correct
30 Correct 9 ms 9856 KB Output is correct
31 Correct 7 ms 9856 KB Output is correct
32 Correct 7 ms 9856 KB Output is correct
33 Correct 8 ms 9856 KB Output is correct
34 Correct 8 ms 9856 KB Output is correct
35 Correct 7 ms 9856 KB Output is correct
36 Correct 8 ms 9856 KB Output is correct
37 Correct 17 ms 11136 KB Output is correct
38 Correct 110 ms 20464 KB Output is correct
39 Correct 112 ms 20596 KB Output is correct
40 Correct 109 ms 20464 KB Output is correct
41 Correct 108 ms 20336 KB Output is correct
42 Correct 112 ms 20208 KB Output is correct
43 Correct 97 ms 19184 KB Output is correct
44 Correct 116 ms 20852 KB Output is correct
45 Correct 110 ms 20468 KB Output is correct
46 Correct 70 ms 19440 KB Output is correct
47 Correct 114 ms 20464 KB Output is correct
48 Correct 34 ms 11668 KB Output is correct
49 Correct 310 ms 25592 KB Output is correct
50 Correct 311 ms 25432 KB Output is correct
51 Correct 315 ms 25432 KB Output is correct
52 Correct 323 ms 25444 KB Output is correct
53 Correct 308 ms 24736 KB Output is correct
54 Correct 279 ms 22760 KB Output is correct
55 Correct 315 ms 26456 KB Output is correct
56 Correct 304 ms 25432 KB Output is correct
57 Correct 285 ms 24152 KB Output is correct
58 Correct 337 ms 26072 KB Output is correct
59 Correct 150 ms 16632 KB Output is correct
60 Correct 299 ms 25588 KB Output is correct
61 Correct 302 ms 25648 KB Output is correct
62 Correct 320 ms 26368 KB Output is correct
63 Correct 252 ms 25048 KB Output is correct
64 Correct 7 ms 9856 KB Output is correct
65 Correct 7 ms 9856 KB Output is correct
66 Correct 8 ms 9856 KB Output is correct
67 Correct 8 ms 9856 KB Output is correct
68 Correct 7 ms 9856 KB Output is correct
69 Correct 8 ms 9856 KB Output is correct
70 Correct 8 ms 9856 KB Output is correct
71 Correct 8 ms 9856 KB Output is correct
72 Correct 8 ms 9856 KB Output is correct
73 Correct 8 ms 9856 KB Output is correct
74 Correct 129 ms 23288 KB Output is correct
75 Correct 114 ms 20592 KB Output is correct
76 Correct 114 ms 20468 KB Output is correct
77 Correct 108 ms 20924 KB Output is correct
78 Correct 101 ms 21100 KB Output is correct
79 Correct 83 ms 18536 KB Output is correct
80 Correct 106 ms 21232 KB Output is correct
81 Correct 170 ms 25196 KB Output is correct
82 Correct 185 ms 26220 KB Output is correct
83 Correct 190 ms 28012 KB Output is correct
84 Correct 72 ms 19312 KB Output is correct
85 Correct 165 ms 25580 KB Output is correct
86 Correct 114 ms 15400 KB Output is correct
87 Correct 325 ms 25432 KB Output is correct
88 Correct 318 ms 25432 KB Output is correct
89 Correct 429 ms 25360 KB Output is correct
90 Correct 369 ms 25020 KB Output is correct
91 Correct 409 ms 24940 KB Output is correct
92 Correct 477 ms 26044 KB Output is correct
93 Correct 488 ms 29752 KB Output is correct
94 Correct 521 ms 30928 KB Output is correct
95 Correct 443 ms 31672 KB Output is correct
96 Correct 291 ms 24280 KB Output is correct
97 Correct 475 ms 28076 KB Output is correct