Submission #249645

#TimeUsernameProblemLanguageResultExecution timeMemory
249645VEGAnnKlavir (COCI17_klavir)C++14
96 / 160
308 ms65540 KiB
#include <bits/stdc++.h>
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("-O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("no-stack-protector")
//#pragma GCC optimize("fast-math")
#define all(x) x.begin(),x.end()
#define sz(x) ((int)x.size())
using namespace std;
typedef long long ll;
const int M = 1000100;
const int N = 110;
const int md = int(1e9) + 7;
const int PW = 22;
int a[M], n, m, ans[M], pf[M], bb[M];
bitset<PW> aut[M][N];

int mult(int x, int y) { return (1ll * x * y) % md; }

int sum(int x, int y){
    x += y;
    if (x >= md)
        x -= md;
    return x;
}

int sub(int x, int y){
    x -= y;
    if (x < 0)
        x += md;
    return x;
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

#ifdef _LOCAL
    freopen("in.txt","r",stdin);
#endif // _LOCAL

    cin >> n >> m;

    for (int i = 1; i <= m; i++) {
        cin >> a[i];
        bb[i - 1] = a[i];
    }

    ans[0] = 0;

    pf[0] = 0;

    for (int i = 1; i < m; i++){
        int j = pf[i - 1];

        while (j > 0 && bb[i] != bb[j])
            j = pf[j - 1];

        if (bb[i] == bb[j])
            j++;

        pf[i] = j;
    }

    aut[0][a[1]] = 1;

    ans[1] = n;

    cout << n << '\n';

    for (int i = 2; i <= m; i++){
        ans[i] = 0;

        int id = i - 1;

        for (int j = 1; j <= n; j++)
            if (j == bb[id]) {
                aut[id][j] = i;
            } else aut[id][j] = aut[pf[id - 1]][j];

        for (int j = 1; j <= n; j++)
            if (a[i] != j){
                int mx = 0;

                for (int po = 0; po < PW; po++)
                    if (aut[id][j][po])
                        mx += (1 << po);

                ans[i] = sum(ans[i], ans[i - 1]);
                ans[i] = sub(ans[i], ans[mx]);
                ans[i] = sum(ans[i], 1);
            } else {
                ans[i] = sum(ans[i], ans[i - 1] + 1);
            }

        cout << ans[i] << '\n';
    }

    return 0;
}
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