oj.uz

Submission #751143

# Submission time Handle Problem Language Result Execution time Memory
751143 2023-05-31T05:48:53 Z tranxuanbach Race (IOI11_race) C++17
100 / 100
 416 ms 145320 KB 
#include "race.h"

#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

#define endl '\n'
#define fi first
#define se second
#define For(i, l, r) for (auto i = (l); i < (r); i++)
#define ForE(i, l, r) for (auto i = (l); i <= (r); i++)
#define FordE(i, l, r) for (auto i = (l); i >= (r); i--)
#define Fora(v, a) for (auto v: (a))
#define bend(a) (a).begin(), (a).end()
#define isz(a) ((signed)(a).size())

using ll = long long;
using ld = long double;
using pii = pair <int, int>;
using vi = vector <int>;
using vpii = vector <pii>;
using vvi = vector <vi>;

const int N = 2e5 + 5;

int k;
vpii adj[N];
int h[N];
ll d[N];
int sz[N];

void dfs_sz(int u, int p = -1){
    sz[u] = 1;
    for (auto [v, w]: adj[u]){
        if (v == p){
            continue;
        }
        h[v] = h[u] + 1;
        d[v] = d[u] + w;
        dfs_sz(v, u);
        sz[u] += sz[v];
    }
}

int ans = INT_MAX;
gp_hash_table <ll, int> mpp[N];

void dfs_mergeset(int u, int p = -1){
    int heavy = -1;
    for (auto [v, w]: adj[u]){
        if (v == p){
            continue;
        }
        dfs_mergeset(v, u);
        if (heavy == -1 or sz[heavy] < sz[v]){
            heavy = v;
        }
    }
    if (heavy != -1){
        mpp[u].swap(mpp[heavy]);
    }
    for (auto [v, w]: adj[u]){
        if (v == p or v == heavy){
            continue;
        }
        for (auto [dpath, hpath]: mpp[v]){
            auto itr = mpp[u].find(k + 2 * d[u] - dpath);
            if (itr != mpp[u].end()){
                ans = min(ans, hpath + itr->se - 2 * h[u]);
            }
        }
        for (auto [dpath, hpath]: mpp[v]){
            auto itr = mpp[u].find(dpath);
            if (itr != mpp[u].end()){
                itr->se = min(itr->se, hpath);
            }
            else{
                mpp[u][dpath] = hpath;
            }
        }
    }
    {
        auto itr = mpp[u].find(k + d[u]);
        if (itr != mpp[u].end()){
            ans = min(ans, itr->se - h[u]);
        }
        mpp[u][d[u]] = h[u];
    }
}

int best_path(int n, int _k, int edge[][2], int weight[]){
    k = _k;
    For(i, 0, n - 1){
        auto [u, v, w] = tuple{edge[i][0], edge[i][1], weight[i]};
        adj[u].emplace_back(v, w);
        adj[v].emplace_back(u, w);
    }
    dfs_sz(0);
    dfs_mergeset(0);
    if (ans == INT_MAX){
        ans = -1;
    }
    return ans;
}

/*
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INPUT                                             |
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OUTPUT                                            |
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*/

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 66100 KB Output is correct
2 Correct 43 ms 66064 KB Output is correct
3 Correct 55 ms 66012 KB Output is correct
4 Correct 44 ms 66028 KB Output is correct
5 Correct 46 ms 66100 KB Output is correct
6 Correct 44 ms 65996 KB Output is correct
7 Correct 44 ms 66008 KB Output is correct
8 Correct 48 ms 65996 KB Output is correct
9 Correct 45 ms 66100 KB Output is correct
10 Correct 43 ms 66112 KB Output is correct
11 Correct 44 ms 65996 KB Output is correct
12 Correct 46 ms 66056 KB Output is correct
13 Correct 47 ms 66032 KB Output is correct
14 Correct 47 ms 66124 KB Output is correct
15 Correct 46 ms 66052 KB Output is correct
16 Correct 45 ms 66048 KB Output is correct
17 Correct 45 ms 65996 KB Output is correct
18 Correct 44 ms 65996 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 66100 KB Output is correct
2 Correct 43 ms 66064 KB Output is correct
3 Correct 55 ms 66012 KB Output is correct
4 Correct 44 ms 66028 KB Output is correct
5 Correct 46 ms 66100 KB Output is correct
6 Correct 44 ms 65996 KB Output is correct
7 Correct 44 ms 66008 KB Output is correct
8 Correct 48 ms 65996 KB Output is correct
9 Correct 45 ms 66100 KB Output is correct
10 Correct 43 ms 66112 KB Output is correct
11 Correct 44 ms 65996 KB Output is correct
12 Correct 46 ms 66056 KB Output is correct
13 Correct 47 ms 66032 KB Output is correct
14 Correct 47 ms 66124 KB Output is correct
15 Correct 46 ms 66052 KB Output is correct
16 Correct 45 ms 66048 KB Output is correct
17 Correct 45 ms 65996 KB Output is correct
18 Correct 44 ms 65996 KB Output is correct
19 Correct 46 ms 66052 KB Output is correct
20 Correct 44 ms 66072 KB Output is correct
21 Correct 46 ms 66296 KB Output is correct
22 Correct 47 ms 66316 KB Output is correct
23 Correct 46 ms 66244 KB Output is correct
24 Correct 46 ms 66256 KB Output is correct
25 Correct 46 ms 66304 KB Output is correct
26 Correct 46 ms 66328 KB Output is correct
27 Correct 45 ms 66248 KB Output is correct
28 Correct 46 ms 66324 KB Output is correct
29 Correct 46 ms 66220 KB Output is correct
30 Correct 47 ms 66252 KB Output is correct
31 Correct 50 ms 66320 KB Output is correct
32 Correct 45 ms 66320 KB Output is correct
33 Correct 46 ms 66336 KB Output is correct
34 Correct 47 ms 66212 KB Output is correct
35 Correct 47 ms 66212 KB Output is correct
36 Correct 49 ms 66252 KB Output is correct
37 Correct 47 ms 66312 KB Output is correct
38 Correct 46 ms 66188 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 66100 KB Output is correct
2 Correct 43 ms 66064 KB Output is correct
3 Correct 55 ms 66012 KB Output is correct
4 Correct 44 ms 66028 KB Output is correct
5 Correct 46 ms 66100 KB Output is correct
6 Correct 44 ms 65996 KB Output is correct
7 Correct 44 ms 66008 KB Output is correct
8 Correct 48 ms 65996 KB Output is correct
9 Correct 45 ms 66100 KB Output is correct
10 Correct 43 ms 66112 KB Output is correct
11 Correct 44 ms 65996 KB Output is correct
12 Correct 46 ms 66056 KB Output is correct
13 Correct 47 ms 66032 KB Output is correct
14 Correct 47 ms 66124 KB Output is correct
15 Correct 46 ms 66052 KB Output is correct
16 Correct 45 ms 66048 KB Output is correct
17 Correct 45 ms 65996 KB Output is correct
18 Correct 44 ms 65996 KB Output is correct
19 Correct 144 ms 83164 KB Output is correct
20 Correct 157 ms 83096 KB Output is correct
21 Correct 142 ms 82912 KB Output is correct
22 Correct 167 ms 82900 KB Output is correct
23 Correct 166 ms 93896 KB Output is correct
24 Correct 154 ms 89896 KB Output is correct
25 Correct 124 ms 82712 KB Output is correct
26 Correct 94 ms 88980 KB Output is correct
27 Correct 184 ms 89676 KB Output is correct
28 Correct 269 ms 130648 KB Output is correct
29 Correct 244 ms 129176 KB Output is correct
30 Correct 188 ms 89644 KB Output is correct
31 Correct 205 ms 89616 KB Output is correct
32 Correct 255 ms 89664 KB Output is correct
33 Correct 290 ms 96144 KB Output is correct
34 Correct 347 ms 129852 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 66100 KB Output is correct
2 Correct 43 ms 66064 KB Output is correct
3 Correct 55 ms 66012 KB Output is correct
4 Correct 44 ms 66028 KB Output is correct
5 Correct 46 ms 66100 KB Output is correct
6 Correct 44 ms 65996 KB Output is correct
7 Correct 44 ms 66008 KB Output is correct
8 Correct 48 ms 65996 KB Output is correct
9 Correct 45 ms 66100 KB Output is correct
10 Correct 43 ms 66112 KB Output is correct
11 Correct 44 ms 65996 KB Output is correct
12 Correct 46 ms 66056 KB Output is correct
13 Correct 47 ms 66032 KB Output is correct
14 Correct 47 ms 66124 KB Output is correct
15 Correct 46 ms 66052 KB Output is correct
16 Correct 45 ms 66048 KB Output is correct
17 Correct 45 ms 65996 KB Output is correct
18 Correct 44 ms 65996 KB Output is correct
19 Correct 46 ms 66052 KB Output is correct
20 Correct 44 ms 66072 KB Output is correct
21 Correct 46 ms 66296 KB Output is correct
22 Correct 47 ms 66316 KB Output is correct
23 Correct 46 ms 66244 KB Output is correct
24 Correct 46 ms 66256 KB Output is correct
25 Correct 46 ms 66304 KB Output is correct
26 Correct 46 ms 66328 KB Output is correct
27 Correct 45 ms 66248 KB Output is correct
28 Correct 46 ms 66324 KB Output is correct
29 Correct 46 ms 66220 KB Output is correct
30 Correct 47 ms 66252 KB Output is correct
31 Correct 50 ms 66320 KB Output is correct
32 Correct 45 ms 66320 KB Output is correct
33 Correct 46 ms 66336 KB Output is correct
34 Correct 47 ms 66212 KB Output is correct
35 Correct 47 ms 66212 KB Output is correct
36 Correct 49 ms 66252 KB Output is correct
37 Correct 47 ms 66312 KB Output is correct
38 Correct 46 ms 66188 KB Output is correct
39 Correct 144 ms 83164 KB Output is correct
40 Correct 157 ms 83096 KB Output is correct
41 Correct 142 ms 82912 KB Output is correct
42 Correct 167 ms 82900 KB Output is correct
43 Correct 166 ms 93896 KB Output is correct
44 Correct 154 ms 89896 KB Output is correct
45 Correct 124 ms 82712 KB Output is correct
46 Correct 94 ms 88980 KB Output is correct
47 Correct 184 ms 89676 KB Output is correct
48 Correct 269 ms 130648 KB Output is correct
49 Correct 244 ms 129176 KB Output is correct
50 Correct 188 ms 89644 KB Output is correct
51 Correct 205 ms 89616 KB Output is correct
52 Correct 255 ms 89664 KB Output is correct
53 Correct 290 ms 96144 KB Output is correct
54 Correct 347 ms 129852 KB Output is correct
55 Correct 58 ms 68744 KB Output is correct
56 Correct 51 ms 67348 KB Output is correct
57 Correct 105 ms 81236 KB Output is correct
58 Correct 81 ms 73792 KB Output is correct
59 Correct 102 ms 98248 KB Output is correct
60 Correct 256 ms 129772 KB Output is correct
61 Correct 210 ms 93856 KB Output is correct
62 Correct 192 ms 89652 KB Output is correct
63 Correct 268 ms 89808 KB Output is correct
64 Correct 416 ms 145320 KB Output is correct
65 Correct 402 ms 142800 KB Output is correct
66 Correct 253 ms 126428 KB Output is correct
67 Correct 225 ms 82844 KB Output is correct
68 Correct 293 ms 115180 KB Output is correct
69 Correct 298 ms 115348 KB Output is correct
70 Correct 283 ms 113676 KB Output is correct