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Submission #1087705

# Submission time Handle Problem Language Result Execution time Memory
1087705 2024-09-13T06:14:37 Z Seungni Treatment Project (JOI20_treatment) C++17
4 / 100
 88 ms 14028 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using pii = pair<ll, ll>;
const ll inf = 0x3f3f3f3f3f3f3f3fLL;

ll N, M, sz;
pair<ll, pair<pii, ll>> arr[100005];
vector<pii> graph[100005];
ll seg[200505 * 2];

void update(int pos, ll v) {
    pos += sz;
    seg[pos] = min(seg[pos], v);
    for (; pos > 0; pos >>= 1) seg[pos >> 1] = min(seg[pos], seg[pos ^ 1]);
    return;
}

ll query(int l, int r) {
    r++;
    ll ret = inf;
    for (l += sz, r += sz; l < r; l >>= 1, r >>= 1) {
        if (l & 1) ret = min(ret, seg[l++]);
        if (r & 1) ret = min(ret, seg[--r]);
    }
    return ret;
}

void Dijkstra(int S, vector<ll> &dist) {
    priority_queue<pii, vector<pii>, greater<>> pq;
    dist[S] = 0;
    pq.push({0, S});
    
    while (pq.size()) {
        pii t = pq.top();
        pq.pop();
        ll now = t.second, v = t.first;
        if (dist[now] < v) continue;
        
        for (auto &[next, cost]: graph[now]) {
            ll ncost = v + cost;
            if (dist[next] > ncost) {
                dist[next] = ncost;
                pq.push({ncost, next});
            }
        }
    }
}

void subtask_1() {
    vector<ll> v;
    v.push_back(0);
    v.push_back(1), v.push_back(N);
    for (int i = 0; i < M; i++) {
        v.push_back(arr[i].second.first.first);
        v.push_back(arr[i].second.first.second);
    }
    
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());
    
    sz = v.size();
    
    sort(arr, arr + M, [&](pair<ll, pair<pii, ll>> a, pair<ll, pair<pii, ll>> b) {
        return a.second.first.second < b.second.first.second;
    });
    for (int i = 0; i < M; i++) {
        ll L = arr[i].second.first.first, R = arr[i].second.first.second;
        L = lower_bound(v.begin(), v.end(), L) - v.begin();
        R = lower_bound(v.begin(), v.end(), R) - v.begin();
        arr[i].second.first = {L, R};
    }
    
    vector<ll> dp(sz + 5, inf);
    memset(seg, 0x3f, sizeof(seg));
    dp[0] = 0;
    update(0, dp[0]);
    
    for (int i = 0; i < M; i++) {
        ll l = arr[i].second.first.first, r = arr[i].second.first.second, c = arr[i].second.second;
        ll idx = lower_bound(v.begin(), v.end(), v[l] - 1) - v.begin();
        dp[r] = min(dp[r], query(idx, r) + c);
        update(r, dp[r]);
    }
    
    int idx = lower_bound(v.begin(), v.end(), N) - v.begin();
    if (dp[idx] == inf) cout << -1;
    else cout << dp[idx];
    return;
}

void subtask_2() {
    ll ans = inf;
    
    sort(arr, arr + M);
    
    for (int i = 0; i < (1 << M); i++) {
        vector<int> v;
        ll cost = 0;
        for (int j = 0; j < M; j++) {
            if (i & (1 << j)) v.push_back(j), cost += arr[j].second.second;
        }
        
        vector<pair<pii, ll>> now;
        now.push_back({{1, N}, 0});
        
        for (int j: v) {
            vector<pair<pii, ll>> nxt;
            ll T = arr[j].first, L = arr[j].second.first.first, R = arr[j].second.first.second;
            for (auto &[range, t]: now) {
                ll l = range.first, r = range.second;
                l -= T - t, l = max(l, 1LL);
                r += T - t, r = min(r, N);
                if (l < L) nxt.push_back({{l, min(r, L - 1)}, T});
                if (r > R) nxt.push_back({{max(l, R + 1), r}, T});
            }
            swap(nxt, now);
        }
        
        if (now.empty()) ans = min(ans, cost);
    }
    
    if (ans == inf) cout << -1;
    else cout << ans;
    
    return;
}

void subtask_3() {
    int S = M, E = M + 1;
    sort(arr, arr + M);
    for (int i = 0; i < M; i++) {
        ll t1 = arr[i].first, l1 = arr[i].second.first.first, r1 = arr[i].second.first.second, c1 = arr[i].second.second;
        if (l1 == 1) {
            graph[S].push_back({i, c1});
            graph[i].push_back({S, c1});
        }
        if (r1 == N) {
            graph[E].push_back({i, 0});
            graph[i].push_back({E, 0});
        }
        for (int j = i + 1; j < M; j++) {
            ll t2 = arr[j].first, l2 = arr[j].second.first.first, r2 = arr[j].second.first.second, c2 = arr[j].second.second;
            ll diff = t2 - t1;
            ll a = l1, b = r1;
            if (a != 1) a += diff;
            if (b != N) b -= diff;
            if (a > b) continue;
            if (b > r2) {
                swap(a, l2);
                swap(b, r2);
                c2 = c1;
            }
            if (b + 1 >= l2) {
                graph[i].push_back({j, c2});
                graph[j].push_back({i, c1});
            }
        }
    }
    
    vector<ll> dist(M + 5, inf);
    Dijkstra(S, dist);
    
    if (dist[E] == inf) cout << -1;
    else cout << dist[E];
    
    return;
}

void solve() {
    cin >> N >> M;
    
    int sub_task1 = 1, sub_task2 = (M <= 16), sub_task3 = (M <= 5000);
    
    for (int i = 0; i < M; i++) {
        ll T, L, R, C;
        cin >> T >> L >> R >> C;
        if (T != 1) sub_task1 = 0;
        arr[i] = {T, {{L, R}, C}};
    }
    
    if (sub_task1) {
        subtask_1();
        return;
    }
    
    if (sub_task2) {
        //subtask_2();
        //return;
    }
    
    if (sub_task3) {
        subtask_3();
        return;
    }
    
    return;
}

int main(void) {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int t = 1;
    //cin >> t;
    while (t--) solve();
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 14024 KB Output is correct
2 Correct 59 ms 14024 KB Output is correct
3 Correct 56 ms 12248 KB Output is correct
4 Correct 55 ms 12232 KB Output is correct
5 Correct 38 ms 12508 KB Output is correct
6 Correct 40 ms 12540 KB Output is correct
7 Correct 43 ms 12492 KB Output is correct
8 Correct 38 ms 12488 KB Output is correct
9 Correct 47 ms 12500 KB Output is correct
10 Correct 47 ms 12488 KB Output is correct
11 Correct 88 ms 13484 KB Output is correct
12 Correct 77 ms 13696 KB Output is correct
13 Correct 71 ms 14028 KB Output is correct
14 Correct 71 ms 14028 KB Output is correct
15 Correct 67 ms 13948 KB Output is correct
16 Correct 69 ms 14020 KB Output is correct
17 Correct 65 ms 13768 KB Output is correct
18 Correct 75 ms 13288 KB Output is correct

Subtask #2
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2824 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Incorrect 1 ms 2652 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2824 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Incorrect 1 ms 2652 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #4
0 / 61.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 14024 KB Output is correct
2 Correct 59 ms 14024 KB Output is correct
3 Correct 56 ms 12248 KB Output is correct
4 Correct 55 ms 12232 KB Output is correct
5 Correct 38 ms 12508 KB Output is correct
6 Correct 40 ms 12540 KB Output is correct
7 Correct 43 ms 12492 KB Output is correct
8 Correct 38 ms 12488 KB Output is correct
9 Correct 47 ms 12500 KB Output is correct
10 Correct 47 ms 12488 KB Output is correct
11 Correct 88 ms 13484 KB Output is correct
12 Correct 77 ms 13696 KB Output is correct
13 Correct 71 ms 14028 KB Output is correct
14 Correct 71 ms 14028 KB Output is correct
15 Correct 67 ms 13948 KB Output is correct
16 Correct 69 ms 14020 KB Output is correct
17 Correct 65 ms 13768 KB Output is correct
18 Correct 75 ms 13288 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2824 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Incorrect 1 ms 2652 KB Output isn't correct
23 Halted 0 ms 0 KB -