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Submission #1063218

# Submission time Handle Problem Language Result Execution time Memory
1063218 2024-08-17T15:26:44 Z Beerus13 Constellation 3 (JOI20_constellation3) C++17
100 / 100
 261 ms 92500 KB 
#include<bits/stdc++.h>
using namespace std;
#define FOR(i, a, b)  for(int i = (a), _b = (b); i <= _b; ++i)
#define FORD(i, b, a) for(int i = (b), _a = (a); i >= _a; --i)
#define REP(i, a, b)  for(int i = (a), _b = (b); i < _b;  ++i)
#define REPD(i, b, a) for(int i = (b), _a = (a); i > _a;  --i)
#define MASK(i) (1LL << (i))
#define BIT(mask, i) (((mask) >> (i)) & 1)
#define __builtin_popcount __builtin_popcountll
#define all(val) val.begin(), val.end()
#define ll long long
#define ull unsigned long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define sz(v) (int)v.size()
#define fi first
#define se second

mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll Rand(ll l, ll r) {return l + rng() % (r - l + 1);}

template<class X, class Y>
    bool minimize(X &x, const Y &y) {
        if (x > y) {
            x = y;
            return true;
        } else return false;
    }
template<class X, class Y>
    bool maximize(X &x, const Y &y) {
        if (x < y) {
            x = y;
            return true;
        } else return false;
    }
template<class T>
    T Abs(const T &x) {
        return (x < 0 ? -x : x);    
    }

const int mod = 1e9 + 7;
const int inf = 1e9;
const int N = 2e5 + 5;
const int K = 19;

struct fenwicktree {
    int n;
    vector<ll> bit;
    fenwicktree(int _n) {
        n = _n;
        bit.assign(n + 1, 0);
    }

    void upd(int i, ll val) {
        for(; i <= n; i += i & -i) bit[i] += val;
    }

    void upd(int l, int r, ll val) {
        upd(l, val);
        upd(r + 1, -val);
    }

    ll get(int i) {
        ll res(0);
        for(; i; i -= i & -i) res += bit[i];
        return res;
    }
};

int n, m, timeDFS;
int a[N], P[N][K], in[N], out[N];
vector<int> g[N];
vector<pii> stars[N];
pii rmq[N][K];
ll dp[N];

int getroot(int l, int r) {
    int k = 31 - __builtin_clz(r - l + 1);
    return -max(rmq[l][k], rmq[r - MASK(k) + 1][k]).se;
}

int dfs(int l, int r, int par = 0) {
    if(l > r) return 0;
    int root = getroot(l, r);

    in[root] = ++timeDFS;
    g[par].push_back(root);
    P[root][0] = par;
    REP(i, 1, K) P[root][i] = P[P[root][i - 1]][i - 1];

    dfs(l, root - 1, root);
    dfs(root + 1, r, root);
    out[root] = timeDFS;
    return root;
}

void process() {
    cin >> n;
    FOR(i, 1, n) {
        cin >> a[i];
        rmq[i][0] = {a[i], -i};
    }
    REP(j, 1, K) FOR(i, 1, n - MASK(j) + 1) {
        rmq[i][j] = max(rmq[i][j - 1], rmq[i + MASK(j - 1)][j - 1]);
    }
    int root = dfs(1, n);

    ll TotalCost(0);
    cin >> m;
    FOR(i, 1, m) {
        int x, y, w; cin >> x >> y >> w;
        TotalCost += w;
        int u = x;
        FORD(i, K - 1, 0) if(P[u][i] > 0 && a[P[u][i]] < y)
            u = P[u][i];
        stars[u].emplace_back(x, w);
    }

    fenwicktree bit(n);
    
    function<ll(int)> solve = [&] (int root) {
        for(int v : g[root])
            dp[root] += solve(v);
        
        bit.upd(in[root], out[root], dp[root]);
        for(auto [v, w] : stars[root]) {
            maximize(dp[root], w + bit.get(in[v]));
        }
        bit.upd(in[root], out[root], -dp[root]);  
        return dp[root];
    };
    cout << TotalCost - solve(root) << '\n';
}

signed main() {
    if(fopen("test.inp","r")) {
        freopen("test.inp","r",stdin);
        freopen("test.out","w",stdout);
    }
    ios::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);

    int ntests = 1;
    // cin >> ntests;
    while(ntests--) process();

    // cerr << "Time elapsed: " << (1.0 * clock() / CLOCKS_PER_SEC) << " s!\n";
    return 0;
}
// https://oj.uz/problem/view/JOI20_constellation3

Compilation message

constellation3.cpp: In function 'int main()':
constellation3.cpp:137:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  137 |         freopen("test.inp","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
constellation3.cpp:138:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  138 |         freopen("test.out","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16728 KB Output is correct
2 Correct 2 ms 16728 KB Output is correct
3 Correct 2 ms 16728 KB Output is correct
4 Correct 3 ms 16728 KB Output is correct
5 Correct 2 ms 16732 KB Output is correct
6 Correct 2 ms 16732 KB Output is correct
7 Correct 3 ms 16732 KB Output is correct
8 Correct 3 ms 16732 KB Output is correct
9 Correct 2 ms 16884 KB Output is correct
10 Correct 2 ms 16732 KB Output is correct
11 Correct 2 ms 16832 KB Output is correct
12 Correct 3 ms 16728 KB Output is correct
13 Correct 2 ms 16732 KB Output is correct
14 Correct 3 ms 16880 KB Output is correct
15 Correct 4 ms 16732 KB Output is correct
16 Correct 3 ms 16732 KB Output is correct
17 Correct 2 ms 16732 KB Output is correct
18 Correct 2 ms 16732 KB Output is correct
19 Correct 2 ms 16732 KB Output is correct
20 Correct 2 ms 16732 KB Output is correct
21 Correct 3 ms 16732 KB Output is correct
22 Correct 3 ms 16732 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16728 KB Output is correct
2 Correct 2 ms 16728 KB Output is correct
3 Correct 2 ms 16728 KB Output is correct
4 Correct 3 ms 16728 KB Output is correct
5 Correct 2 ms 16732 KB Output is correct
6 Correct 2 ms 16732 KB Output is correct
7 Correct 3 ms 16732 KB Output is correct
8 Correct 3 ms 16732 KB Output is correct
9 Correct 2 ms 16884 KB Output is correct
10 Correct 2 ms 16732 KB Output is correct
11 Correct 2 ms 16832 KB Output is correct
12 Correct 3 ms 16728 KB Output is correct
13 Correct 2 ms 16732 KB Output is correct
14 Correct 3 ms 16880 KB Output is correct
15 Correct 4 ms 16732 KB Output is correct
16 Correct 3 ms 16732 KB Output is correct
17 Correct 2 ms 16732 KB Output is correct
18 Correct 2 ms 16732 KB Output is correct
19 Correct 2 ms 16732 KB Output is correct
20 Correct 2 ms 16732 KB Output is correct
21 Correct 3 ms 16732 KB Output is correct
22 Correct 3 ms 16732 KB Output is correct
23 Correct 4 ms 16984 KB Output is correct
24 Correct 4 ms 16988 KB Output is correct
25 Correct 3 ms 16988 KB Output is correct
26 Correct 3 ms 16880 KB Output is correct
27 Correct 3 ms 16988 KB Output is correct
28 Correct 3 ms 16988 KB Output is correct
29 Correct 5 ms 16988 KB Output is correct
30 Correct 4 ms 16988 KB Output is correct
31 Correct 5 ms 16988 KB Output is correct
32 Correct 3 ms 16988 KB Output is correct
33 Correct 3 ms 16988 KB Output is correct
34 Correct 3 ms 16988 KB Output is correct
35 Correct 3 ms 16988 KB Output is correct
36 Correct 3 ms 16988 KB Output is correct
37 Correct 3 ms 16988 KB Output is correct
38 Correct 3 ms 16984 KB Output is correct
39 Correct 3 ms 16988 KB Output is correct
40 Correct 3 ms 16988 KB Output is correct
41 Correct 3 ms 16988 KB Output is correct
42 Correct 3 ms 16984 KB Output is correct
43 Correct 3 ms 16988 KB Output is correct
44 Correct 3 ms 16988 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16728 KB Output is correct
2 Correct 2 ms 16728 KB Output is correct
3 Correct 2 ms 16728 KB Output is correct
4 Correct 3 ms 16728 KB Output is correct
5 Correct 2 ms 16732 KB Output is correct
6 Correct 2 ms 16732 KB Output is correct
7 Correct 3 ms 16732 KB Output is correct
8 Correct 3 ms 16732 KB Output is correct
9 Correct 2 ms 16884 KB Output is correct
10 Correct 2 ms 16732 KB Output is correct
11 Correct 2 ms 16832 KB Output is correct
12 Correct 3 ms 16728 KB Output is correct
13 Correct 2 ms 16732 KB Output is correct
14 Correct 3 ms 16880 KB Output is correct
15 Correct 4 ms 16732 KB Output is correct
16 Correct 3 ms 16732 KB Output is correct
17 Correct 2 ms 16732 KB Output is correct
18 Correct 2 ms 16732 KB Output is correct
19 Correct 2 ms 16732 KB Output is correct
20 Correct 2 ms 16732 KB Output is correct
21 Correct 3 ms 16732 KB Output is correct
22 Correct 3 ms 16732 KB Output is correct
23 Correct 4 ms 16984 KB Output is correct
24 Correct 4 ms 16988 KB Output is correct
25 Correct 3 ms 16988 KB Output is correct
26 Correct 3 ms 16880 KB Output is correct
27 Correct 3 ms 16988 KB Output is correct
28 Correct 3 ms 16988 KB Output is correct
29 Correct 5 ms 16988 KB Output is correct
30 Correct 4 ms 16988 KB Output is correct
31 Correct 5 ms 16988 KB Output is correct
32 Correct 3 ms 16988 KB Output is correct
33 Correct 3 ms 16988 KB Output is correct
34 Correct 3 ms 16988 KB Output is correct
35 Correct 3 ms 16988 KB Output is correct
36 Correct 3 ms 16988 KB Output is correct
37 Correct 3 ms 16988 KB Output is correct
38 Correct 3 ms 16984 KB Output is correct
39 Correct 3 ms 16988 KB Output is correct
40 Correct 3 ms 16988 KB Output is correct
41 Correct 3 ms 16988 KB Output is correct
42 Correct 3 ms 16984 KB Output is correct
43 Correct 3 ms 16988 KB Output is correct
44 Correct 3 ms 16988 KB Output is correct
45 Correct 155 ms 73052 KB Output is correct
46 Correct 141 ms 72880 KB Output is correct
47 Correct 143 ms 73148 KB Output is correct
48 Correct 210 ms 72788 KB Output is correct
49 Correct 146 ms 72920 KB Output is correct
50 Correct 164 ms 72788 KB Output is correct
51 Correct 142 ms 72848 KB Output is correct
52 Correct 156 ms 73276 KB Output is correct
53 Correct 138 ms 73052 KB Output is correct
54 Correct 223 ms 85332 KB Output is correct
55 Correct 215 ms 81748 KB Output is correct
56 Correct 228 ms 79296 KB Output is correct
57 Correct 255 ms 78160 KB Output is correct
58 Correct 187 ms 82256 KB Output is correct
59 Correct 177 ms 82320 KB Output is correct
60 Correct 125 ms 92500 KB Output is correct
61 Correct 155 ms 72236 KB Output is correct
62 Correct 248 ms 88404 KB Output is correct
63 Correct 160 ms 71888 KB Output is correct
64 Correct 150 ms 71708 KB Output is correct
65 Correct 261 ms 88556 KB Output is correct
66 Correct 165 ms 71764 KB Output is correct