QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#290395#7782. Ursa Minorucup-team2307WA 2653ms118684kbC++206.7kb2023-12-24 22:35:212023-12-24 22:35:21

Judging History

你现在查看的是最新测评结果

  • [2023-12-24 22:35:21]
  • 评测
  • 测评结果:WA
  • 用时:2653ms
  • 内存:118684kb
  • [2023-12-24 22:35:21]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) int(x.size())
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;
#define fi first
#define se second
#define pb push_back
const ll inf = 1ll<<30;

struct Seg {
    int n;
    vector<int> tr;
    Seg(int N) : n(N), tr(2*N) {}
    void upd(int pos, int val) {
        for(tr[pos+=n]=val;pos/=2;)
            tr[pos] = __gcd(tr[2*pos], tr[2*pos+1]);
    }
    int qry(int l, int r) {
        int res = 0;
        for(l += n, r += n; l < r; l>>=1,r>>=1) {
            if(l & 1) res = __gcd(res, tr[l++]);
            if(r & 1) res = __gcd(res, tr[--r]);
        }
        return res;
    }
};

const int C = 128, mod = 998244853;
int add(int a, int b) { return a + b >= mod ? a + b - mod : a + b; }
int sub(int a, int b) { return a - b < 0 ? a + mod - b : a - b; }
int mul(int a, int b) { return a*1ll*b%mod; }
struct RSQ1 {//cosnt update root query
    int n;
    vector<int> a, b;
    RSQ1(int N = 0) : n(N), a(n), b(n / C + 1) {}
    void update(int pos, int val) {
        b[pos / C] = sub(b[pos / C], a[pos]);
        b[pos / C] = add(b[pos / C], a[pos] = val);
    }
    int qry(int l, int r) {
        ++r;
        int ans = 0;
        while(l < r) {
            if(l % C == 0 && l + C <= r) {
                ans = add(ans, b[l / C]);
                l += C;
            } else {
                ans = add(ans, a[l++]);
            }
        }
        return ans;
    }
};

struct RSQ2 {//root update const query
    int n;
    vector<int> a, b, c;
    RSQ2(int N = 0) : n(N), a(n), b(n/C+1), c(n) {}
    void update(int pos, int val) {
        for(int i = pos / C + 1; i < b.size(); i++) {
            b[i] = sub(b[i], a[pos]);
            b[i] = add(b[i], val);
        }
        int lim = min((pos / C) * C + C, n);
        for(int i = pos; i < lim; i++) {
            c[i] = sub(c[i], a[pos]);
            c[i] = add(c[i], val);
        }
        a[pos] = val;
    }
    int qry(int r) {
        if(r < 0) return 0;
        int bl = r / C;
        return add(b[bl], c[r]);
    }
    int qry(int l, int r) { return sub(qry(r), qry(l - 1)); }
};

mt19937 rng(123);//!!
signed main() {
    cin.tie(0)->sync_with_stdio(0);
    cin.exceptions(cin.failbit);
    // {
    //     int n = 20;
    //     RSQ1 a(n);
    //     RSQ2 b(n);
    //     for(int i = 0; i < n; i++) {
    //         a.update(i, i); b.update(i, i);
    //     }
    //     // cout << b.c[1] << b.b[0] << " " << b.qry(0, 1) << endl;
    //     for(int i = 0; i < n; i++) {
    //         for(int j = i; j < n; j++) {
    //             int x = a.qry(i, j), y = b.qry(i, j);
    //             // cout << i << " " << j << " " << x << " " << y << endl;
    //             assert(x == y);
    //             assert(x == j*(j+1)/2 - i*(i-1) / 2);
    //         }
    //     }
    //     return 0;
    // }
    int n, m, q;
    cin >> n >> m >> q;
    vector<int> a(n);
    for(auto &i : a) cin >> i;
    vector<int> b(m);
    for(auto &i : b) cin >> i;

    Seg gst(m);
    for(int i = 0; i < m; i++) {
        gst.upd(i, b[i]);
    }

    vector<array<int, 5>> queries;
    vector<int> ans(q, 1);
    for(int I = 0; I < q; I++) {
        char type;
        cin >> type;
        if(type == 'Q') {
            int l, r, s, t;
            cin >> l >> r >> s >> t;
            queries.push_back({0, l, r, s, t});
        } else {
            ans[I] = -1;
            int p, v;
            cin >> p >> v;
            queries.push_back({1, p, v, 0, 0});
        }
    }
    //hash stuff
    auto solve = [&](vector<int> a, int x) mutable -> void {
        vector<int> pws(2*n + 1, 1);
        for(int i = 1; i <= 2*n; i++) pws[i] = pws[i - 1] * 1ll * x % mod;
        auto suf = pws;
        suf.back() = 0;
        for(int i = 2*n; i--;) suf[i] = add(suf[i], suf[i + 1]);

        vector<RSQ1> small(C);
        for(int i = 1; i < C; i++) {
            small[i] = RSQ1(n);
            for(int j = 0; j < n; j++) {
                small[i].update(j, a[j] * 1ll * pws[j % i] % mod);
            }
        }
        // cout << small[3].qry(0, 5) << " " << a[0] * pws[0] <<endl;
        RSQ2 r2(n);
        RSQ2 S(n);
        for(int i = 0; i < n; i++) {
            r2.update(i, a[i] * 1ll * pws[i] % mod);
            S.update(i, a[i]);
        }
        int ID = -1;
        int out = 0;
        for(auto Q : queries) { ++ID;
            if(Q[0] == 0) {
                auto [_, l, r, s, t] = Q;
                int G = gst.qry(--s, t);
                G = __gcd(G, r-- - --l);
                // if(++out == 1) {
                //     cout << l << "_" << r << "_" << s << "_" << t << "_" << G << endl;
                //     for(int i = l; i <= r; i++) cout << a[i] << " "; cout << endl;
                // }
                // vector<int> sm(G);
                // for(int i = l; i < r; i++) {
                //     sm[i % G] += a[i];
                // }

                int sum = 0;
                int real_sum = S.qry(l, r);
                if(G < C) {
                    sum = small[G].qry(l, r);
                    sum = mul(sum, pws[2*n - G]);
                } else {
                    while(l + G - 1 <= r) {
                        sum = add(sum, mul(r2.qry(l, l + G - 1), pws[(2*n - G) - l]));
                        l += G;
                    }
                    // cout << sum << endl;
                    int P = 2*n - G;
                    while(l <= r) {
                        sum = add(sum, mul(r2.a[l], pws[P - l]));
                        l++, P++;
                    }
                }


                int div = suf[2*n - G];
                ans[ID] &= mul(sum, G) == mul(div, real_sum); 


                // cout << G << " " << x << " : " << l << " " << r << " " << sum << " " << div << " " << (real_sum) << " " << ID<< endl;
                // for(auto i : sm) cout << i << " "; cout << endl;
                // int ok = *min_element(all(sm)) == *max_element(all(sm));
                // cout << (ok?"Yes\n":"No\n");
            } else {
                auto [_, p, v, __, ___] = Q;
                // a[--p] = v;
                --p;
                for(int i = 1; i < C; i++) {
                    small[i].update(p, mul(v, pws[p % i]));
                }
                r2.update(p, mul(v, pws[p]));
                S.update(p, v);
                a[p] = v;
            }
        }
    };
    // solve(10, a, b);
    // return 0;
    solve(a, rng() % (mod - 1) + 1);
    solve(a, rng() % (mod - 1) + 1);
    // solve(rng() % (mod - 1) + 1);
    for(auto i : ans) if(i >= 0) cout << (i ? "Yes" : "No") << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3460kb

input:

6 4 5
1 1 4 5 1 4
3 3 2 4
Q 1 5 1 2
Q 2 5 3 4
U 5 2
Q 1 6 1 2
Q 2 5 3 4

output:

Yes
No
No
Yes

result:

ok 4 tokens

Test #2:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

1 1 1
0
1
Q 1 1 1 1

output:

Yes

result:

ok "Yes"

Test #3:

score: 0
Accepted
time: 160ms
memory: 9028kb

input:

2000 2000 200000
1 1 2 0 0 2 0 2 0 0 0 0 0 2 2 1 2 0 0 2 2 2 1 0 1 2 1 2 0 0 1 1 1 2 0 0 2 2 2 2 0 2 0 0 2 1 2 0 0 1 2 2 1 0 2 0 0 0 1 2 2 1 2 2 0 0 1 1 1 0 0 2 0 0 1 1 0 2 2 2 1 0 0 1 0 1 2 2 2 1 1 2 2 1 2 1 0 2 2 3 1 3 2 3 1 0 1 2 0 1 1 1 0 2 2 3 2 0 3 2 3 3 1 2 3 1 2 0 1 0 3 1 0 0 2 0 1 2 1 3 2 2...

output:

Yes
Yes
No
Yes
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
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No
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No
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No
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No...

result:

ok 100554 tokens

Test #4:

score: 0
Accepted
time: 174ms
memory: 11400kb

input:

1 200000 200000
998244353
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

Yes
Yes
Yes
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Yes
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Yes
Yes
Yes
Yes
Yes
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Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
...

result:

ok 100240 tokens

Test #5:

score: 0
Accepted
time: 127ms
memory: 11900kb

input:

6 131072 200000
0 0 0 0 1000000000 1000000000
4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 ...

output:

Yes
Yes
Yes
No
No
No
Yes
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No
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Yes
Yes
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Yes
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Yes
Yes
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No
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No
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No
No
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Yes
No
No
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No
No
No
Yes
Yes
No
Yes
N...

result:

ok 100021 tokens

Test #6:

score: 0
Accepted
time: 1146ms
memory: 118684kb

input:

200000 200000 200000
490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877...

output:

No
No
No
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No
Yes
No
No
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Yes
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No
N...

result:

ok 187340 tokens

Test #7:

score: 0
Accepted
time: 1060ms
memory: 118104kb

input:

200000 200000 200000
360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531...

output:

Yes
Yes
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Yes
Yes
Yes
Yes
Yes
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Yes
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Yes
Yes
Yes
Yes
...

result:

ok 199985 tokens

Test #8:

score: 0
Accepted
time: 1154ms
memory: 118052kb

input:

200000 200000 200000
793134805 922104801 158394038 993313213 77527653 992889267 148461787 499165677 132176015 189185554 783374975 332147281 923925325 371040161 393285793 437388761 138662855 212488140 265392646 498903298 578518594 550390771 960084339 408548934 56106823 814997309 456913457 300689692 1...

output:

No
No
No
No
No
No
No
No
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No
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Yes
No
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No
No
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No
No
No
Yes
No...

result:

ok 200000 tokens

Test #9:

score: 0
Accepted
time: 1088ms
memory: 118020kb

input:

200000 200000 200000
451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037...

output:

No
No
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Yes
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Yes
No
No
Yes
No
Yes
No
No
No
Yes
No
No
No
No
No
No
No
No
N...

result:

ok 199977 tokens

Test #10:

score: 0
Accepted
time: 1022ms
memory: 118268kb

input:

200000 200000 200000
606894463 710609424 913364361 30426550 801940265 516097169 349718376 606894463 710609424 913364361 30426550 801940265 516097169 349718376 606894463 710609424 913364361 30426550 801940265 516097169 349718376 606894463 710609424 913364361 30426550 801940265 516097169 349718376 606...

output:

No
No
No
Yes
No
No
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Yes
No
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Yes
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No
Yes
No
No
No
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No
No
No
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Yes
No
No
No
No
No
No
N...

result:

ok 100329 tokens

Test #11:

score: 0
Accepted
time: 2645ms
memory: 118412kb

input:

200000 199999 200000
903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886...

output:

Yes
No
No
No
No
No
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No
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No
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No
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No
No
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No
No
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No
No
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No
No
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No
No
No
No
No
No
No...

result:

ok 100000 tokens

Test #12:

score: 0
Accepted
time: 2315ms
memory: 118040kb

input:

199997 199989 199999
516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047 516381047...

output:

Yes
Yes
No
No
No
No
No
No
Yes
No
No
No
No
No
Yes
No
Yes
No
Yes
No
No
Yes
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Yes
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Yes
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Yes
Yes
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Yes
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Yes
Yes
Yes
Yes
Yes
No
Yes
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Yes
Yes
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Yes
Yes
No
No
No
No
Yes
Yes
No
Yes
No
No
No
No
No
No
No
Yes
No...

result:

ok 100000 tokens

Test #13:

score: 0
Accepted
time: 2653ms
memory: 118092kb

input:

200000 199899 200000
738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100 738568100...

output:

Yes
No
No
No
No
No
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No
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No
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No...

result:

ok 100000 tokens

Test #14:

score: 0
Accepted
time: 2289ms
memory: 118080kb

input:

200000 199990 200000
748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491 748167491...

output:

Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No...

result:

ok 100000 tokens

Test #15:

score: -100
Wrong Answer
time: 448ms
memory: 118168kb

input:

200000 200000 200000
1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No...

result:

wrong answer 1st words differ - expected: 'Yes', found: 'No'