oj.uz

Submission #706789

# Submission time Handle Problem Language Result Execution time Memory
706789 2023-03-07T17:47:21 Z Asamai Race (IOI11_race) C++17
100 / 100
 532 ms 34244 KB 
#include <bits/stdc++.h>

using namespace std;

template<class A, class B> bool maximize(A& x, B y) {if (x < y) return x = y, true; else return false;}
template<class A, class B> bool minimize(A& x, B y) {if (x > y) return x = y, true; else return false;}

#define     all(a)                a.begin(), a.end()
#define     pb                    push_back
#define     pf                    push_front
#define     fi                    first
#define     se                    second
//#define     int                   long long

typedef     long long             ll;
typedef     unsigned long long    ull;
typedef     double                db;
typedef     long double           ld;
typedef     pair<db, db>          pdb;
typedef     pair<ld, ld>          pld;
typedef     pair<int, int>        pii;
typedef     pair<ll, ll>          pll;
typedef     pair<ll, int>         plli;
typedef     pair<int, ll>         pill;

const int MAX_N = 2e5 + 5;
const int mod = 1e9 + 7; // 998244353
const int inf = 1e9 + 1;

int n, k;
vector<pii> adj[MAX_N];
bool processed[MAX_N];
int ans = inf;
int child[MAX_N];

int dfs(int u, int pr = 0) {
	child[u] = 1;
	for (auto it : adj[u]) {
		int v = it.fi;
		if (!processed[v] && v != pr) {
			child[u] += dfs(v, u);
		}
	}
	return child[u];
}

int find_centroid(int u, int pr, int sz) {
	for (auto it : adj[u]) {
		int v = it.fi;
		if (!processed[v] && v != pr && child[v] > sz) {
			return find_centroid(v, u, sz);
		}
	}
	return u;
}

const int MAX_VAL = 1e6 + 10;
int dp[MAX_VAL];
vector<int> used;

void go_cal(int u, int pr, bool ok, int len, int dep) {
	if (k < len) return;

	if (ok) {
		used.pb(len);
		minimize(dp[len], dep);
	}
	else {
		minimize(ans, dp[k - len] + dep);
	}

	for (auto it : adj[u]) {
		int v = it.fi;
		int w = it.se;
		if (!processed[v] && v != pr) {
			go_cal(v, u, ok, len + w, dep + 1);
		}
	}
}

void centroid_decomposition(int u) {
	int c = find_centroid(u, 0, dfs(u) >> 1);
	processed[c] = true;

	used.clear();

	dp[0] = 0;

	for (auto it : adj[c]) {
		int v = it.fi;
		int w = it.se;
		if (!processed[v]) {
			go_cal(v, c, false, w, 1);
			go_cal(v, c, true, w, 1);
		}
	}

	for (auto it : used) {
		dp[it] = inf;
	}

	for (auto it : adj[c]) {
		int v = it.fi;
		if (!processed[v]) {
			centroid_decomposition(v);
		}
	}
}

int best_path(int _n, int _k, int h[][2], int l[]) {
	n = _n;
	k = _k;
	for (int i = 0; i <= k; i ++) {
		dp[i] = inf;
	}
	for (int i = 0; i < n - 1; i++) {
		int u = h[i][0], v = h[i][1], w = l[i];
		u++; v++;
		adj[u].pb({v, w});
		adj[v].pb({u, w});
	}

	centroid_decomposition(1);

	return (ans == inf ? -1 : ans);	
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 5 ms 4948 KB Output is correct
11 Correct 4 ms 5012 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 5 ms 5016 KB Output is correct
14 Correct 4 ms 5016 KB Output is correct
15 Correct 3 ms 5016 KB Output is correct
16 Correct 4 ms 4948 KB Output is correct
17 Correct 4 ms 4948 KB Output is correct
18 Correct 3 ms 4948 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 5 ms 4948 KB Output is correct
11 Correct 4 ms 5012 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 5 ms 5016 KB Output is correct
14 Correct 4 ms 5016 KB Output is correct
15 Correct 3 ms 5016 KB Output is correct
16 Correct 4 ms 4948 KB Output is correct
17 Correct 4 ms 4948 KB Output is correct
18 Correct 3 ms 4948 KB Output is correct
19 Correct 4 ms 5076 KB Output is correct
20 Correct 7 ms 5012 KB Output is correct
21 Correct 4 ms 5076 KB Output is correct
22 Correct 6 ms 8612 KB Output is correct
23 Correct 5 ms 7984 KB Output is correct
24 Correct 6 ms 8404 KB Output is correct
25 Correct 6 ms 8404 KB Output is correct
26 Correct 5 ms 6304 KB Output is correct
27 Correct 5 ms 8148 KB Output is correct
28 Correct 5 ms 5792 KB Output is correct
29 Correct 5 ms 6356 KB Output is correct
30 Correct 5 ms 6440 KB Output is correct
31 Correct 5 ms 7632 KB Output is correct
32 Correct 5 ms 7788 KB Output is correct
33 Correct 5 ms 8128 KB Output is correct
34 Correct 5 ms 7384 KB Output is correct
35 Correct 6 ms 8276 KB Output is correct
36 Correct 7 ms 8660 KB Output is correct
37 Correct 5 ms 8148 KB Output is correct
38 Correct 5 ms 7092 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 5 ms 4948 KB Output is correct
11 Correct 4 ms 5012 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 5 ms 5016 KB Output is correct
14 Correct 4 ms 5016 KB Output is correct
15 Correct 3 ms 5016 KB Output is correct
16 Correct 4 ms 4948 KB Output is correct
17 Correct 4 ms 4948 KB Output is correct
18 Correct 3 ms 4948 KB Output is correct
19 Correct 134 ms 11904 KB Output is correct
20 Correct 114 ms 11632 KB Output is correct
21 Correct 151 ms 11976 KB Output is correct
22 Correct 105 ms 12312 KB Output is correct
23 Correct 76 ms 12028 KB Output is correct
24 Correct 58 ms 11852 KB Output is correct
25 Correct 137 ms 14484 KB Output is correct
26 Correct 120 ms 17868 KB Output is correct
27 Correct 209 ms 18840 KB Output is correct
28 Correct 324 ms 30136 KB Output is correct
29 Correct 281 ms 29132 KB Output is correct
30 Correct 163 ms 18840 KB Output is correct
31 Correct 168 ms 18840 KB Output is correct
32 Correct 205 ms 18880 KB Output is correct
33 Correct 185 ms 17644 KB Output is correct
34 Correct 173 ms 18648 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 5 ms 4948 KB Output is correct
11 Correct 4 ms 5012 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 5 ms 5016 KB Output is correct
14 Correct 4 ms 5016 KB Output is correct
15 Correct 3 ms 5016 KB Output is correct
16 Correct 4 ms 4948 KB Output is correct
17 Correct 4 ms 4948 KB Output is correct
18 Correct 3 ms 4948 KB Output is correct
19 Correct 4 ms 5076 KB Output is correct
20 Correct 7 ms 5012 KB Output is correct
21 Correct 4 ms 5076 KB Output is correct
22 Correct 6 ms 8612 KB Output is correct
23 Correct 5 ms 7984 KB Output is correct
24 Correct 6 ms 8404 KB Output is correct
25 Correct 6 ms 8404 KB Output is correct
26 Correct 5 ms 6304 KB Output is correct
27 Correct 5 ms 8148 KB Output is correct
28 Correct 5 ms 5792 KB Output is correct
29 Correct 5 ms 6356 KB Output is correct
30 Correct 5 ms 6440 KB Output is correct
31 Correct 5 ms 7632 KB Output is correct
32 Correct 5 ms 7788 KB Output is correct
33 Correct 5 ms 8128 KB Output is correct
34 Correct 5 ms 7384 KB Output is correct
35 Correct 6 ms 8276 KB Output is correct
36 Correct 7 ms 8660 KB Output is correct
37 Correct 5 ms 8148 KB Output is correct
38 Correct 5 ms 7092 KB Output is correct
39 Correct 134 ms 11904 KB Output is correct
40 Correct 114 ms 11632 KB Output is correct
41 Correct 151 ms 11976 KB Output is correct
42 Correct 105 ms 12312 KB Output is correct
43 Correct 76 ms 12028 KB Output is correct
44 Correct 58 ms 11852 KB Output is correct
45 Correct 137 ms 14484 KB Output is correct
46 Correct 120 ms 17868 KB Output is correct
47 Correct 209 ms 18840 KB Output is correct
48 Correct 324 ms 30136 KB Output is correct
49 Correct 281 ms 29132 KB Output is correct
50 Correct 163 ms 18840 KB Output is correct
51 Correct 168 ms 18840 KB Output is correct
52 Correct 205 ms 18880 KB Output is correct
53 Correct 185 ms 17644 KB Output is correct
54 Correct 173 ms 18648 KB Output is correct
55 Correct 10 ms 5716 KB Output is correct
56 Correct 12 ms 5716 KB Output is correct
57 Correct 76 ms 12480 KB Output is correct
58 Correct 32 ms 12568 KB Output is correct
59 Correct 86 ms 18620 KB Output is correct
60 Correct 435 ms 34244 KB Output is correct
61 Correct 163 ms 19244 KB Output is correct
62 Correct 199 ms 23720 KB Output is correct
63 Correct 250 ms 23704 KB Output is correct
64 Correct 532 ms 22040 KB Output is correct
65 Correct 201 ms 19684 KB Output is correct
66 Correct 369 ms 31304 KB Output is correct
67 Correct 109 ms 25360 KB Output is correct
68 Correct 231 ms 23956 KB Output is correct
69 Correct 246 ms 24044 KB Output is correct
70 Correct 214 ms 23320 KB Output is correct