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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#104477#5098. 第一代图灵机bashkort0 609ms33584kbC++205.7kb2023-05-10 20:13:302023-05-10 20:13:34

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-10 20:13:34]
  • Judged
  • Verdict: 0
  • Time: 609ms
  • Memory: 33584kb
  • [2023-05-10 20:13:30]
  • Submitted

answer

#include <bits/stdc++.h>

using namespace std;
using ll = long long;

namespace SegmentTree {
    vector<int> t;
    int sz = 1;

    void init(int n, vector<int> nxt) {
        sz = 1 << __lg(n) + !!(n & (n - 1));
        t.assign(sz << 1, 1e9);
        for (int i = 0; i < n; ++i) {
            t[i + sz] = nxt[i];
        }
        for (int i = sz - 1; i > 0; --i) {
            t[i] = min(t[i << 1], t[i << 1 | 1]);
        }
    }

    void modify(int x, int v) {
        t[x += sz] = v;
        while (x >>= 1) {
            t[x] = min(t[x << 1], t[x << 1 | 1]);
        }
    }

    int rangeMin(int l, int r) {
        int ans = 1e9;
        for (l += sz, r += sz; l < r; l >>= 1, r >>= 1) {
            if (l & 1) ans = min(ans, t[l++]);
            if (r & 1) ans = min(ans, t[--r]);
        }
        return ans;
    }

    int findMax(int l, int r, int mn, int x = 1, int lx = 0, int rx = sz) { //max i: nxt[i] < mn
        if (l >= rx || lx >= r || t[x] >= mn) {
            return -1;
        }
        if (lx + 1 == rx) {
            return lx;
        }
        int mid = lx + rx >> 1;
        int ans = findMax(l, r, mn, x << 1 | 1, mid, rx);
        if (ans != -1) {
            ans = findMax(l, r, mn, x << 1, lx, mid);
        }
        return ans;
    }

    int descend(int mn) { //find max i such as nxt[i] < mn
        if (t[1] >= mn) {
            return -1;
        }

        int x = 1;

        while (x < sz) {
            if (t[x << 1 | 1] < mn) {
                x = x << 1 | 1;
            } else {
                x = x << 1;
            }
        }

        return x - sz;
    }
}

constexpr int N = 2e5 + 228;

ll pref[N];
int n;

namespace ST {
    struct Info {
        ll ans = 0;
        int mn = 0;
    };

    vector<Info> t;
    vector<ll> ansL;
    int sz = 1;

    ll vertexQuery(int x, int mn) {
        if (x >= sz) {
            if (x - sz >= n) {
                return 0;
            }
            return max(t[x].mn >= mn ? 0 : t[x].ans, pref[mn] - pref[x - sz + 1]);
        }

        if (t[x << 1 | 1].mn < mn) {
            return max(ansL[x], vertexQuery(x << 1 | 1, mn));
        } else {
            return vertexQuery(x << 1, mn);
        }
    }

    void pull(int x) {
        t[x].mn = min(t[x << 1].mn, t[x << 1 | 1].mn);
        ansL[x] = vertexQuery(x << 1, t[x << 1 | 1].mn);
    }

    void init(int n, vector<int> nxt) {
        sz = 1 << __lg(n) + !!(n & (n - 1));
        t.assign(sz << 1, Info());
        ansL.assign(sz << 1, 0);

        for (int i = 0; i < n; ++i) {
            t[i + sz].mn = nxt[i];
            t[i + sz].ans = pref[nxt[i]] - pref[i];
        }
        for (int i = sz - 1; i > 0; --i) {
            pull(i);
        }
    }

    vector<int> stk;

    void rangeQuery(int l, int r, int x, int lx = 0, int rx = sz) {
        if (l >= rx || lx >= r) {
            return;
        }
        if (l <= lx && rx <= r) {
            return stk.push_back(x);
        }
        int mid = lx + rx >> 1;
        rangeQuery(l, r, x << 1, lx, mid), rangeQuery(l, r, x << 1 | 1, mid, rx);
    }

    void modify(int x, int i) {
        t[x + sz].mn = i;
        t[x + sz].ans = pref[i] - pref[x];
        for (x += sz; x >>= 1;) {
            pull(x);
        }
    }

    vector<int> rangeQuery(int l, int r) {
        stk.clear();
        rangeQuery(l, r, 1, 0, sz);
        return stk;
    }
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int m, q;
    cin >> n >> m >> q;

    for (int i = 1; i <= n; ++i) {
        cin >> pref[i];
        pref[i] += pref[i - 1];
    }

    vector<int> c(n), nxt(n, n), last(m, -1);
    vector<set<int>> st(m);

    for (int i = 0; i < m; ++i) {
        st[i].insert(-1);
        st[i].insert(n);
    }

    for (int i = 0; i < n; ++i) {
        cin >> c[i];
        c[i] -= 1;
        st[c[i]].insert(i);

        if (last[c[i]] != -1) {
            nxt[last[c[i]]] = i;
        }
        last[c[i]] = i;
    }

    SegmentTree::init(n, nxt);
    ST::init(n, nxt);

    auto modify = [&](int x, int to) {
        nxt[x] = to;
        SegmentTree::modify(x, to);
        ST::modify(x, to);
    };

    auto replace = [&](int x, int col) {
        if (c[x] == col) {
            return;
        }

        st[c[x]].erase(x);
        st[col].insert(x);

        int p = *prev(st[c[x]].lower_bound(x));
        int np = *prev(st[col].lower_bound(x));
        int nx = *st[col].upper_bound(x);
        int npx = *st[c[x]].upper_bound(p);

        if (p != -1) {
            modify(p, npx);
        }
        if (np != -1) {
            modify(np, x);
        }
        modify(x, nx);

        c[x] = col;
    };

    auto query = [&](int l, int r) { // [l, r)
        int i = SegmentTree::descend(r);
        if (i < l) {
            return pref[r] - pref[l];
        }

        ll ans = pref[r] - pref[i + 1];

        vector<int> stk = ST::rangeQuery(l, i + 1);

        int mn = 1e9;
        ans = max(ans, ST::t[stk.back()].ans);

        for (int k = stk.size() - 1; k >= 0; --k) {
            mn = min(mn, ST::t[stk[k]].mn);
            if (k > 0) {
                ans = max(ans, ST::vertexQuery(stk[k - 1], mn));
            }
        }

        if (mn >= l) {
            ans = max(ans, pref[mn] - pref[l]);
        }

        return ans;
    };

    while (q--) {
        int tp, a, b;
        cin >> tp >> a >> b;
        a -= 1, b -= 1;

        if (tp == 1) {
            cout << query(a, b + 1) << '\n';
        } else {
            replace(a, b);
        }
    }

    return 0;
}


Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 0
Wrong Answer
time: 10ms
memory: 3984kb

input:

5000 200 5000
2315 3433 1793 4621 4627 4561 289 4399 3822 2392 392 4581 2643 2441 4572 4649 2981 3094 4206 2057 761 2516 2849 3509 3033 658 4965 3316 3269 4284 4961 753 1187 2515 1377 1725 4743 4761 3823 3464 4859 989 2401 953 875 1481 2181 103 2067 2625 3296 4721 61 3843 1607 997 4385 1284 4299 441...

output:

118571
90725
79596
95154
95154
94493
72411
100567
100567
100567
100567
90725
100567
100567
90725
118571
94493
95154
58191
118571
100567
100567
100567
39374
89208
118571
99923
100567
100567
95724
87252
100567
118571
100567
100567
100567
100567
100567
100567
26617
100567
99923
100567
118571
100567
100...

result:

wrong answer 63rd lines differ - expected: '77192', found: '52164'

Subtask #2:

score: 0
Wrong Answer

Test #3:

score: 0
Wrong Answer
time: 609ms
memory: 30764kb

input:

200000 10 200000
55651 97298 108697 86619 60721 199951 10610 162267 154301 138848 39191 18605 101369 57073 34977 101576 71252 143401 89587 160521 166491 38442 150761 35579 25571 121311 38033 38483 144639 41401 179161 54872 157905 137601 46863 187656 171901 43715 41036 150741 69057 102031 130561 4772...

output:

1232419
1222519
1232419
1232419
1232419
1232419
1232419
1232419
1232419
1232419
1040511
1148070
1232419
1232419
1232419
1232419
1206368
1206368
1232419
1232419
1232419
1222519
1167757
1206368
1214212
1222519
1232419
1222519
1222519
1160928
1011843
1232419
1232419
1189403
1222519
1232419
1222519
1148...

result:

wrong answer 1171st lines differ - expected: '1222519', found: '1189403'

Subtask #3:

score: 0
Wrong Answer

Test #5:

score: 0
Wrong Answer
time: 514ms
memory: 33584kb

input:

200000 20000 200000
30681 32496 35471 48191 159123 69792 120915 150673 187226 158493 36275 26856 107976 124777 145229 69745 183961 14497 144808 153612 185893 137681 66417 46802 19345 113322 168046 128149 191001 135433 13201 139214 59489 81178 42343 163158 110121 119201 97501 53079 158755 192241 1132...

output:

46702944
46702944
38383720
38615532
38615532
42801975
39035571
46702944
46702944
46702944
27438528
38402892
46702944
46702944
42801975
42323113
39035571
42323113
46702944
46702944
46702944
41821993
46702944
34075405
46702944
38615532
46702944
28680653
46702944
42801975
42801975
38025842
46702944
467...

result:

wrong answer 11299th lines differ - expected: '15048621', found: '13843505'

Subtask #4:

score: 0
Skipped

Dependency #1:

0%

Subtask #5:

score: 0
Skipped

Dependency #4:

0%