Submission #734038

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
734038	2023-05-01T14:17:34 Z	GrindMachine	Relativnost (COCI15_relativnost)	C++17	140 / 140	1397 ms	16228 KB

relativnost

// Om Namah Shivaya

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a, b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a, b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*



*/

const int MOD = 1e4 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
const int K = 20;

template<typename T>
struct segtree1 {
    // https://codeforces.com/blog/entry/18051

    /*=======================================================*/

    struct data {
        int a[K];

        data() {
            memset(a, 0, sizeof a);
            a[0] = 1;
        }
    };

    data neutral = data();

    data merge(data &left, data &right) {
        data curr;
        memset(curr.a, 0, sizeof curr.a);

        rep(i, K) {
            rep(j, K - i) {
                curr.a[i + j] = (curr.a[i + j] + left.a[i] * right.a[j]) % MOD;
            }
        }

        return curr;
    }

    void create(int i, T v) {
        auto [x, y] = v;
        tr[i].a[0] = y % MOD;
        tr[i].a[1] = x % MOD;
    }

    void modify(int i, T v) {
        auto [x, y] = v;
        tr[i].a[0] = y % MOD;
        tr[i].a[1] = x % MOD;
    }

    /*=======================================================*/

    int n;
    vector<data> tr;

    segtree1() {

    }

    segtree1(int siz) {
        init(siz);
    }

    void init(int siz) {
        n = siz;
        tr.assign(2 * n, neutral);
    }

    void build(vector<T> &a, int siz) {
        rep(i, siz) create(i + n, a[i]);
        rev(i, n - 1, 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
    }

    void pupd(int i, T v) {
        modify(i + n, v);
        for (i = (i + n) >> 1; i; i >>= 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
    }

    data query(int l, int r) {
        data resl = neutral, resr = neutral;

        for (l += n, r += n; l <= r; l >>= 1, r >>= 1) {
            if (l & 1) resl = merge(resl, tr[l++]);
            if (!(r & 1)) resr = merge(tr[r--], resr);
        }

        return merge(resl, resr);
    }
};

template<typename T>
struct segtree2 {
    // https://codeforces.com/blog/entry/18051

    /*=======================================================*/

    struct data {
        int a;
    };

    data neutral = {1};

    data merge(data &left, data &right) {
        data curr;
        curr.a = left.a * right.a % MOD;
        return curr;
    }

    void create(int i, T v) {
        tr[i].a = (v.ff + v.ss) % MOD;
    }

    void modify(int i, T v) {
        tr[i].a = (v.ff + v.ss) % MOD;
    }

    /*=======================================================*/

    int n;
    vector<data> tr;

    segtree2() {

    }

    segtree2(int siz) {
        init(siz);
    }

    void init(int siz) {
        n = siz;
        tr.assign(2 * n, neutral);
    }

    void build(vector<T> &a, int siz) {
        rep(i, siz) create(i + n, a[i]);
        rev(i, n - 1, 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
    }

    void pupd(int i, T v) {
        modify(i + n, v);
        for (i = (i + n) >> 1; i; i >>= 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
    }

    data query(int l, int r) {
        data resl = neutral, resr = neutral;

        for (l += n, r += n; l <= r; l >>= 1, r >>= 1) {
            if (l & 1) resl = merge(resl, tr[l++]);
            if (!(r & 1)) resr = merge(tr[r--], resr);
        }

        return merge(resl, resr);
    }
};

void solve(int test_case)
{
    int n, k; cin >> n >> k;
    vector<pii> a(n + 5);
    rep1(i, n) cin >> a[i].ff;
    rep1(i, n) cin >> a[i].ss;

    segtree1<pii> st1(n + 5);
    st1.build(a, n + 1);

    segtree2<pii> st2(n + 5);
    st2.build(a, n + 1);

    int q; cin >> q;

    while (q--) {
        int i, x, y; cin >> i >> x >> y;

        st1.pupd(i, {x, y});
        st2.pupd(i, {x, y});

        auto res = st1.query(1, n);
        int ans = st2.query(1, n).a;

        rep(j, k) {
            ans = (ans - res.a[j] + MOD) % MOD;
        }

        cout << ans << endl;
    }
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Subtask #1

140.0 / 140.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	10 ms	468 KB	Output is correct
2	Correct	13 ms	468 KB	Output is correct
3	Correct	10 ms	444 KB	Output is correct
4	Correct	865 ms	9616 KB	Output is correct
5	Correct	1161 ms	15460 KB	Output is correct
6	Correct	934 ms	16228 KB	Output is correct
7	Correct	866 ms	11464 KB	Output is correct
8	Correct	831 ms	16076 KB	Output is correct
9	Correct	1278 ms	13500 KB	Output is correct
10	Correct	1397 ms	12916 KB	Output is correct