oj.uz

Submission #972065

# Submission time Handle Problem Language Result Execution time Memory
972065 2024-04-30T01:57:04 Z ghostlywalrus Race (IOI11_race) C++17
100 / 100
 338 ms 31824 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;

#define ll long long
#define PI pair<int,int>
#define f first
#define s second
#define pb push_back
#define szo(x) ((int)x.size())
#define all(a) (a).begin(), a.end()
#define dbg(v)                                                                 \
    cout << "Line(" << _LINE << ") -> " << #v << " = " << (v) << endl;

int const INF = 0x3f3f3f3f;
ll const LINF = 0x3f3f3f3f3f3f3f3fll;

const int maxn = 2e5+10;
vector<PI> adj[maxn];
int subsize[maxn];
bool isremoved[maxn];

int get_subsize(int x, int prev=-1){
	 subsize[x] = 1;

	 for (auto [nex, w] : adj[x]){
	 	if (nex == prev || isremoved[nex]) continue;
		subsize[x] += get_subsize(nex, x);
	 }

	 return subsize[x];
}

int get_centroid(int x, int tsize, int prev=-1){
	 for (auto [nex, w] : adj[x]){
	 	if (nex == prev || isremoved[nex]) continue;
		if (subsize[nex] * 2 > tsize) return get_centroid(nex, tsize, x);
	 }

	 return x;
}

const int maxk = 1e6+10;
int dp[maxk];

int k;
int maxdep;

void dfs1(int x, int cent, int d, int cnt=1, int prev=-1){
	if (d > k) return;

	for (auto [nex, w] : adj[x]){
	 	if (nex == prev || isremoved[nex]) continue;
		dfs1(nex, cent, d+w, cnt+1, x);
	}
 	
	maxdep = max(maxdep, d);
	dp[d] = min(dp[d], cnt);
}

int ans;
void dfs2(int x, int cent, int d, int cnt=1, int prev=-1){
	 if (d > k) return;

	 for (auto [nex, w] : adj[x]){
	 	if (nex == prev || isremoved[nex]) continue;
		dfs2(nex, cent, d+w, cnt+1, x);
	 }
	
	 if (k-d <= maxdep) ans = min(ans, cnt + dp[k-d]);
}


void build_decomp(int x){
	 int cent = get_centroid(x, get_subsize(x));
	 isremoved[cent] = true;

	 for (int i = 0; i <= maxdep; ++i) dp[i] = INF;

	 maxdep = 0;

	 dp[0] = 0;
	 for (auto [nex, w] : adj[cent]){
	 	if (!isremoved[nex]){
			dfs2(nex, cent, w);
	 		dfs1(nex, cent, w);
		}
	 }

	for (auto [nex, w] : adj[cent]){
	 	if (isremoved[nex]) continue;
		build_decomp(nex);
	}
}



int best_path(int n, int K, int h[][2], int l[]){
	k = K;
	maxdep = k;
	ans = INF;

	for (int i = 0; i < n-1; ++i){
	 	adj[h[i][0]].pb({h[i][1], l[i]});
		adj[h[i][1]].pb({h[i][0], l[i]});
	}
	
	build_decomp(0);

	if (ans < INF) return ans;
	return -1;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11612 KB Output is correct
2 Correct 4 ms 11612 KB Output is correct
3 Correct 2 ms 11612 KB Output is correct
4 Correct 3 ms 11608 KB Output is correct
5 Correct 2 ms 11612 KB Output is correct
6 Correct 2 ms 11612 KB Output is correct
7 Correct 2 ms 11608 KB Output is correct
8 Correct 2 ms 11864 KB Output is correct
9 Correct 2 ms 11612 KB Output is correct
10 Correct 2 ms 11612 KB Output is correct
11 Correct 3 ms 11628 KB Output is correct
12 Correct 3 ms 11612 KB Output is correct
13 Correct 2 ms 11608 KB Output is correct
14 Correct 2 ms 11612 KB Output is correct
15 Correct 2 ms 11612 KB Output is correct
16 Correct 3 ms 11612 KB Output is correct
17 Correct 2 ms 11612 KB Output is correct
18 Correct 2 ms 12020 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11612 KB Output is correct
2 Correct 4 ms 11612 KB Output is correct
3 Correct 2 ms 11612 KB Output is correct
4 Correct 3 ms 11608 KB Output is correct
5 Correct 2 ms 11612 KB Output is correct
6 Correct 2 ms 11612 KB Output is correct
7 Correct 2 ms 11608 KB Output is correct
8 Correct 2 ms 11864 KB Output is correct
9 Correct 2 ms 11612 KB Output is correct
10 Correct 2 ms 11612 KB Output is correct
11 Correct 3 ms 11628 KB Output is correct
12 Correct 3 ms 11612 KB Output is correct
13 Correct 2 ms 11608 KB Output is correct
14 Correct 2 ms 11612 KB Output is correct
15 Correct 2 ms 11612 KB Output is correct
16 Correct 3 ms 11612 KB Output is correct
17 Correct 2 ms 11612 KB Output is correct
18 Correct 2 ms 12020 KB Output is correct
19 Correct 2 ms 11612 KB Output is correct
20 Correct 3 ms 11636 KB Output is correct
21 Correct 3 ms 11612 KB Output is correct
22 Correct 22 ms 13660 KB Output is correct
23 Correct 16 ms 13660 KB Output is correct
24 Correct 20 ms 13732 KB Output is correct
25 Correct 5 ms 13680 KB Output is correct
26 Correct 9 ms 13660 KB Output is correct
27 Correct 3 ms 13660 KB Output is correct
28 Correct 5 ms 13660 KB Output is correct
29 Correct 5 ms 13660 KB Output is correct
30 Correct 5 ms 13724 KB Output is correct
31 Correct 6 ms 13656 KB Output is correct
32 Correct 5 ms 13664 KB Output is correct
33 Correct 6 ms 13664 KB Output is correct
34 Correct 6 ms 13656 KB Output is correct
35 Correct 6 ms 13660 KB Output is correct
36 Correct 6 ms 13660 KB Output is correct
37 Correct 4 ms 13660 KB Output is correct
38 Correct 3 ms 13660 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11612 KB Output is correct
2 Correct 4 ms 11612 KB Output is correct
3 Correct 2 ms 11612 KB Output is correct
4 Correct 3 ms 11608 KB Output is correct
5 Correct 2 ms 11612 KB Output is correct
6 Correct 2 ms 11612 KB Output is correct
7 Correct 2 ms 11608 KB Output is correct
8 Correct 2 ms 11864 KB Output is correct
9 Correct 2 ms 11612 KB Output is correct
10 Correct 2 ms 11612 KB Output is correct
11 Correct 3 ms 11628 KB Output is correct
12 Correct 3 ms 11612 KB Output is correct
13 Correct 2 ms 11608 KB Output is correct
14 Correct 2 ms 11612 KB Output is correct
15 Correct 2 ms 11612 KB Output is correct
16 Correct 3 ms 11612 KB Output is correct
17 Correct 2 ms 11612 KB Output is correct
18 Correct 2 ms 12020 KB Output is correct
19 Correct 87 ms 17608 KB Output is correct
20 Correct 88 ms 18640 KB Output is correct
21 Correct 80 ms 18004 KB Output is correct
22 Correct 74 ms 18768 KB Output is correct
23 Correct 47 ms 19344 KB Output is correct
24 Correct 37 ms 18772 KB Output is correct
25 Correct 83 ms 19792 KB Output is correct
26 Correct 69 ms 21612 KB Output is correct
27 Correct 105 ms 22868 KB Output is correct
28 Correct 152 ms 27792 KB Output is correct
29 Correct 157 ms 27740 KB Output is correct
30 Correct 102 ms 23524 KB Output is correct
31 Correct 100 ms 23524 KB Output is correct
32 Correct 149 ms 23508 KB Output is correct
33 Correct 131 ms 22356 KB Output is correct
34 Correct 121 ms 22608 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11612 KB Output is correct
2 Correct 4 ms 11612 KB Output is correct
3 Correct 2 ms 11612 KB Output is correct
4 Correct 3 ms 11608 KB Output is correct
5 Correct 2 ms 11612 KB Output is correct
6 Correct 2 ms 11612 KB Output is correct
7 Correct 2 ms 11608 KB Output is correct
8 Correct 2 ms 11864 KB Output is correct
9 Correct 2 ms 11612 KB Output is correct
10 Correct 2 ms 11612 KB Output is correct
11 Correct 3 ms 11628 KB Output is correct
12 Correct 3 ms 11612 KB Output is correct
13 Correct 2 ms 11608 KB Output is correct
14 Correct 2 ms 11612 KB Output is correct
15 Correct 2 ms 11612 KB Output is correct
16 Correct 3 ms 11612 KB Output is correct
17 Correct 2 ms 11612 KB Output is correct
18 Correct 2 ms 12020 KB Output is correct
19 Correct 2 ms 11612 KB Output is correct
20 Correct 3 ms 11636 KB Output is correct
21 Correct 3 ms 11612 KB Output is correct
22 Correct 22 ms 13660 KB Output is correct
23 Correct 16 ms 13660 KB Output is correct
24 Correct 20 ms 13732 KB Output is correct
25 Correct 5 ms 13680 KB Output is correct
26 Correct 9 ms 13660 KB Output is correct
27 Correct 3 ms 13660 KB Output is correct
28 Correct 5 ms 13660 KB Output is correct
29 Correct 5 ms 13660 KB Output is correct
30 Correct 5 ms 13724 KB Output is correct
31 Correct 6 ms 13656 KB Output is correct
32 Correct 5 ms 13664 KB Output is correct
33 Correct 6 ms 13664 KB Output is correct
34 Correct 6 ms 13656 KB Output is correct
35 Correct 6 ms 13660 KB Output is correct
36 Correct 6 ms 13660 KB Output is correct
37 Correct 4 ms 13660 KB Output is correct
38 Correct 3 ms 13660 KB Output is correct
39 Correct 87 ms 17608 KB Output is correct
40 Correct 88 ms 18640 KB Output is correct
41 Correct 80 ms 18004 KB Output is correct
42 Correct 74 ms 18768 KB Output is correct
43 Correct 47 ms 19344 KB Output is correct
44 Correct 37 ms 18772 KB Output is correct
45 Correct 83 ms 19792 KB Output is correct
46 Correct 69 ms 21612 KB Output is correct
47 Correct 105 ms 22868 KB Output is correct
48 Correct 152 ms 27792 KB Output is correct
49 Correct 157 ms 27740 KB Output is correct
50 Correct 102 ms 23524 KB Output is correct
51 Correct 100 ms 23524 KB Output is correct
52 Correct 149 ms 23508 KB Output is correct
53 Correct 131 ms 22356 KB Output is correct
54 Correct 121 ms 22608 KB Output is correct
55 Correct 8 ms 12124 KB Output is correct
56 Correct 10 ms 11864 KB Output is correct
57 Correct 50 ms 17944 KB Output is correct
58 Correct 27 ms 18628 KB Output is correct
59 Correct 65 ms 23640 KB Output is correct
60 Correct 276 ms 31824 KB Output is correct
61 Correct 139 ms 22712 KB Output is correct
62 Correct 117 ms 25404 KB Output is correct
63 Correct 154 ms 25488 KB Output is correct
64 Correct 338 ms 23964 KB Output is correct
65 Correct 125 ms 24404 KB Output is correct
66 Correct 257 ms 26988 KB Output is correct
67 Correct 67 ms 26956 KB Output is correct
68 Correct 175 ms 25936 KB Output is correct
69 Correct 181 ms 23920 KB Output is correct
70 Correct 157 ms 26020 KB Output is correct