Submission #1012895

# Submission time Handle Problem Language Result Execution time Memory
1012895 2024-07-02T19:47:28 Z EJIC_B_KEDAX Fire (JOI20_ho_t5) C++17
6 / 100
218 ms 66420 KB
#include <bits/stdc++.h>
#include <immintrin.h>

using namespace std;

using ll = long long;
using ld = long double;
#define x first
#define y second
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()

mt19937 mt(123);

void solve();
void init();

int32_t main() {
#ifndef LOCAL
    cin.tie(nullptr)->sync_with_stdio(false);
#endif
    cout << fixed << setprecision(30);
    init();
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
    }
}

struct segment_tree {
    vector<ll> st;
    int sz;
    segment_tree() = default;
    segment_tree(vector<int> a) {
        sz = 1;
        while (sz < a.size()) {
            sz <<= 1;
        }
        st.resize(2 * sz, 0);
        for (int i = 0; i < a.size(); i++) {
            st[sz + i] = a[i];
        }
        for (int i = sz - 1; i > 0; i--) {
            st[i] = st[2 * i] + st[2 * i + 1];
        }
    }
    void add(int i, ll x) {
        i += sz;
        while (i) {
            st[i] += x;
            i >>= 1;
        }
    }
    ll get(int l, int r) {
        l += sz;
        r += sz;
        ll res = 0;
        while (l <= r) {
            if (l & 1) {
                res += st[l++];
            }
            if (~r & 1) {
                res += st[r--];
            }
            l >>= 1;
            r >>= 1;
        }
        return res;
    }
};

struct mseg_tree {
    segment_tree def, step;
    int now_step;
    mseg_tree() = default;
    mseg_tree(int n) {
        now_step = 0;
        def = segment_tree(vector<int>(n, 0));
        step = segment_tree(vector<int>(n, 0));
    }
    void add_def(int i, int x) {
        def.add(i, x);
    }
    void add_step(int i, int x) {
        step.add(i, x);
        def.add(i, -1ll * x * now_step);
    }
    void next_step() {
        now_step++;
    }
    void set_step(int new_step) {
        now_step = new_step;
    }
    ll get(int l, int r) {
        return def.get(l, r) + now_step * step.get(l, r);
    }
};

struct sparse_max {
    using Type = pair<int, int>;
    vector<vector<Type>> sp;
    vector<int> p;
    sparse_max(const vector<Type>& a) {
        int n = a.size(), lg = 0;
        while ((1 << lg) < n) {
            lg++;
        }
        sp.resize(lg, vector<Type>(n));
        for (int i = 0; i < n; i++) {
            sp[0][i] = a[i];
        }
        for (int l = 1; l < lg; l++) {
            for (int i = 0; i <= n - (1 << l); i++) {
                sp[l][i] = max(sp[l - 1][i], sp[l - 1][i + (1 << (l - 1))]);
            }
        }
        int nw = 0;
        p.resize(n + 1, 0);
        for (int i = 1; i <= n; i++) {
            if ((1 << nw) * 2 < i) {
                nw++;
            }
            p[i] = nw;
        }
    }
    Type get(int l, int r) {
        int lev = p[r - l + 1];
        return max(sp[lev][l], sp[lev][r - (1 << lev) + 1]);
    }
};

struct sparse_min {
    using Type = pair<int, int>;
    vector<vector<Type>> sp;
    vector<int> p;
    sparse_min(const vector<Type>& a) {
        int n = a.size(), lg = 0;
        while ((1 << lg) < n) {
            lg++;
        }
        sp.resize(lg, vector<Type>(n));
        for (int i = 0; i < n; i++) {
            sp[0][i] = a[i];
        }
        for (int l = 1; l < lg; l++) {
            for (int i = 0; i <= n - (1 << l); i++) {
                sp[l][i] = min(sp[l - 1][i], sp[l - 1][i + (1 << (l - 1))]);
            }
        }
        int nw = 0;
        p.resize(n + 1, 0);
        for (int i = 1; i <= n; i++) {
            if ((1 << nw) * 2 < i) {
                nw++;
            }
            p[i] = nw;
        }
    }
    Type get(int l, int r) {
        int lev = p[r - l + 1];
        return min(sp[lev][l], sp[lev][r - (1 << lev) + 1]);
    }
};

void init() {}

void solve() {
    int n, q;
    cin >> n >> q;
    vector<int> a(n), nxt(n), prv(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    mseg_tree st(n);
    for (int i = 0; i < n; i++) {
        st.add_step(i, a[i]);
    }
    vector<pair<int, int>> stack(1, {INT32_MAX / 2, n});
    for (int i = n - 1; i >= 0; i--) {
        while (a[i] >= stack.back().x) {
            stack.pop_back();
        }
        nxt[i] = stack.back().y;
        stack.emplace_back(a[i], i);
    }
    stack.clear(); stack.emplace_back(INT32_MAX, -1);
    for (int i = 0; i < n; i++) {
        while (a[i] > stack.back().x) {
            stack.pop_back();
        }
        prv[i] = stack.back().y;
        stack.emplace_back(a[i], i);
    }
    vector<pair<int, int>> fsp(n);
    for (int i = 0; i < n; i++) {
        fsp[i] = {a[i], -i};
    }
    sparse_max sp(fsp);
    vector<vector<pair<int, int>>> ev(n + 1);
    vector<vector<int>> qu(n + 1);
    vector<pair<int, int>> seg(q);
    vector<ll> ans(q);
    for (int i = 0; i < q; i++) {
        int t, l, r;
        cin >> t >> l >> r; l--; r--;
        qu[t].push_back(i);
        seg[i] = {l, r};
    }
    for (int i = 0; i < n; i++) {
        ev[nxt[i] - i].emplace_back(i, -a[i]);
        assert(nxt[i] - i <= n && nxt[i] - i >= 0);
        if (prv[i] != -1) {
            ev[i - prv[i]].emplace_back(i, -a[i]);
            ev[nxt[i] - prv[i]].emplace_back(i, a[i]);
        }
    }
    for (int t = 0; t <= n; t++) {
        for (auto [i, v] : ev[t]) {
            st.add_step(i, v);
        }
        st.next_step();
        for (int i : qu[t]) {
            auto [l, r] = seg[i];
            r++;
            ll lans = 0, rans = 0;
            {
                auto [mx, mxi] = sp.get(max(0, l - t), l);
                mxi *= -1;
                lans = st.get(mxi + 1, n - 1);
                int lst = min({mxi + t, nxt[mxi] - 1});
                lans += 1ll * (lst - l + 1) * mx;
            }
            if (r < n) {
                auto [mx, mxi] = sp.get(max(0, r - t), r);
                mxi *= -1;
                rans = st.get(mxi + 1, n - 1);
                int lst = min(mxi + t, nxt[mxi] - 1);
                rans += 1ll * (lst - r + 1) * mx;
            }
            ans[i] = lans - rans;
        }
    }
    for (ll i : ans) {
        cout << i << '\n';
    }
}

Compilation message

ho_t5.cpp: In constructor 'segment_tree::segment_tree(std::vector<int>)':
ho_t5.cpp:37:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   37 |         while (sz < a.size()) {
      |                ~~~^~~~~~~~~~
ho_t5.cpp:41:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   41 |         for (int i = 0; i < a.size(); i++) {
      |                         ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 348 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 348 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 348 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 196 ms 64896 KB Output is correct
2 Correct 190 ms 64716 KB Output is correct
3 Correct 195 ms 66096 KB Output is correct
4 Correct 190 ms 64604 KB Output is correct
5 Correct 193 ms 64472 KB Output is correct
6 Correct 200 ms 65008 KB Output is correct
7 Correct 191 ms 66420 KB Output is correct
8 Correct 213 ms 65244 KB Output is correct
9 Correct 218 ms 64980 KB Output is correct
10 Correct 184 ms 65360 KB Output is correct
11 Correct 201 ms 64892 KB Output is correct
12 Correct 194 ms 65136 KB Output is correct
13 Correct 182 ms 64888 KB Output is correct
14 Correct 188 ms 64876 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 348 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -