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Submission #792485

# Submission time Handle Problem Language Result Execution time Memory
792485 2023-07-25T05:39:07 Z 이동현(#10054) Binaria (CCO23_day1problem1) C++17
10 / 25
 1000 ms 94244 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#define int long long
using namespace std;

const int NS = (int)1e6 + 4, mod = (int)1e6 + 3;
int n, k;
int a[NS];
int r[NS], l[NS], chk[NS];

int pw(int x, int y){
    if(!y) return 1;
    if(y == 1) return x;
    int v = pw(x, y / 2);
    return v * v % mod * (y % 2 ? x : 1) % mod;
}

int fdr(int x){
    return (x == r[x] ? x : r[x] = fdr(r[x]));
}

int fdl(int x){
    return (x == l[x] || x == -1 ? x : l[x] = fdl(l[x]));
}

struct Fenwick{
    int n;
    vector<int> tr;
    Fenwick(int m){
        n = m + 4;
        tr.resize(n);
    }

    void push(int pos, int val){
        pos += 2;
        for(int i = pos; i < n; i += (i & -i)){
            tr[i] += val;
        }
    }

    int get(int pos){
        int rv = 0;
        pos += 2;
        for(int i = pos; i > 0; i -= (i & -i)){
            rv += tr[i];
        }

        return rv;
    }

    int get(int l, int r){
        return get(r) - get(l - 1);
    }
};

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

    iota(r, r + NS, 0);
    iota(l, l + NS, 0);
    memset(chk, -1, sizeof(chk));

    int n, k;
    cin >> n >> k;
    vector<int> a(n - k + 1);
    for(int i = 0; i < n - k + 1; ++i){
        cin >> a[i];
    }
    Fenwick tr(n);

    auto cant = [&]{
        cout << "0\n";
        exit(0);
    };

    auto nor = [&](vector<int> x)->vector<int>{
        if(x[0] > x[1]) return x;
        int nl = fdr(x[0]);
        int nr = fdl(x[1]);
        if(nl > nr){
            int nv = x[2] - tr.get(x[0], x[1]);
            if(nv) cant();
            return {nl, nr, 0};
        }
        int nv = x[2] - tr.get(x[0], nl - 1) - tr.get(nr + 1, x[1]);
        return {nl, nr, nv};
    };

    auto upd = [&](int pos, int val){
        // cout << "UPD " << pos << ' ' << val << endl;
        if(val < 0 || val > 1) cant();
        chk[pos] = val;
        tr.push(pos, val);
        l[pos] = pos - 1;
        r[pos] = pos + 1;
    };

    vector<vector<int>> ran(n - k + 1);
    for(int i = 0; i < n - k + 1; ++i){
        ran[i] = {i, i + k - 1, a[i]};
    }
    while(true){
        int f = 0;
        for(int i = 0; i + 1 < (int)ran.size(); ++i){
            ran[i] = nor(ran[i]);
            // cout << i << ' ' << ran[i + 1][0] << ' ' << ran[i + 1][1] << ' ' << ran[i + 1][2] << endl;
            ran[i + 1] = nor(ran[i + 1]);
            int sval = ran[i][2] - tr.get(ran[i][0], ran[i][1]);
            int nval = ran[i + 1][2] - tr.get(ran[i + 1][0], ran[i + 1][1]);
            if(ran[i][0] > ran[i][1] || ran[i + 1][0] > ran[i + 1][1]) continue;
            if(ran[i][0] == ran[i + 1][0] && ran[i][1] == ran[i + 1][1]){
                if(sval != nval) cant();
                continue;
            }
            if(ran[i][0] < ran[i + 1][0] && ran[i][1] < ran[i + 1][1] && sval == nval){
                continue;
            }

            f = 1;
            // cout << i << ' ' << sval << ' ' << nval << endl;

            if(ran[i][0] == ran[i + 1][0]){
                upd(ran[i + 1][1], nval - sval);
            }
            else if(ran[i][1] == ran[i + 1][1]){
                upd(ran[i][0], sval - nval);
            }
            else{
                if(sval > nval){
                    upd(ran[i][0], sval - nval);
                    upd(ran[i + 1][1], 0);
                }
                else{
                    upd(ran[i + 1][1], nval - sval);
                    upd(ran[i][0], 0);
                }
            }
        }
        if(!f) break;
    }

    // cout << "HI" << endl;

    int stval = 0;
    while(stval < n - k + 1){
        ran[stval] = nor(ran[stval]);
        if(ran[stval][0] <= ran[stval][1]) break;
        ++stval;
    }
    if(stval == n - k + 1){
        cout << "1\n";
        return 0;
    }
    int ac = 0, oc = a[stval];
    for(int i = stval; i < stval + k; ++i){
        ac += (chk[i] == -1);
        oc -= (chk[i] == 1);
    }

    int ans = 1;
    for(int i = oc + 1; i <= ac; ++i){
        (ans *= i) %= mod;
    }
    for(int i = 2; i <= ac - oc; ++i){
        (ans *= pw(i, mod - 2)) %= mod;
    }

    cout << ans << '\n';
    
    return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 10 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 10 ms 23764 KB Output is correct
5 Correct 9 ms 23804 KB Output is correct
6 Correct 9 ms 23740 KB Output is correct
7 Correct 9 ms 23700 KB Output is correct
8 Correct 10 ms 23784 KB Output is correct
9 Correct 9 ms 23792 KB Output is correct
10 Correct 10 ms 23760 KB Output is correct
11 Correct 9 ms 23764 KB Output is correct
12 Correct 9 ms 23764 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 10 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 10 ms 23764 KB Output is correct
5 Correct 9 ms 23804 KB Output is correct
6 Correct 9 ms 23740 KB Output is correct
7 Correct 9 ms 23700 KB Output is correct
8 Correct 10 ms 23784 KB Output is correct
9 Correct 9 ms 23792 KB Output is correct
10 Correct 10 ms 23760 KB Output is correct
11 Correct 9 ms 23764 KB Output is correct
12 Correct 9 ms 23764 KB Output is correct
13 Correct 10 ms 23688 KB Output is correct
14 Correct 9 ms 23732 KB Output is correct
15 Correct 8 ms 23764 KB Output is correct
16 Correct 8 ms 23764 KB Output is correct
17 Correct 8 ms 23764 KB Output is correct
18 Correct 10 ms 23764 KB Output is correct
19 Correct 9 ms 23764 KB Output is correct
20 Correct 10 ms 23764 KB Output is correct
21 Correct 9 ms 23764 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 10 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 10 ms 23764 KB Output is correct
5 Correct 9 ms 23804 KB Output is correct
6 Correct 9 ms 23740 KB Output is correct
7 Correct 9 ms 23700 KB Output is correct
8 Correct 10 ms 23784 KB Output is correct
9 Correct 9 ms 23792 KB Output is correct
10 Correct 10 ms 23760 KB Output is correct
11 Correct 9 ms 23764 KB Output is correct
12 Correct 9 ms 23764 KB Output is correct
13 Correct 10 ms 23688 KB Output is correct
14 Correct 9 ms 23732 KB Output is correct
15 Correct 8 ms 23764 KB Output is correct
16 Correct 8 ms 23764 KB Output is correct
17 Correct 8 ms 23764 KB Output is correct
18 Correct 10 ms 23764 KB Output is correct
19 Correct 9 ms 23764 KB Output is correct
20 Correct 10 ms 23764 KB Output is correct
21 Correct 9 ms 23764 KB Output is correct
22 Correct 9 ms 23788 KB Output is correct
23 Correct 20 ms 23876 KB Output is correct
24 Correct 9 ms 23764 KB Output is correct
25 Correct 9 ms 23772 KB Output is correct
26 Correct 10 ms 23792 KB Output is correct
27 Correct 9 ms 23764 KB Output is correct
28 Correct 10 ms 23764 KB Output is correct
29 Correct 9 ms 23764 KB Output is correct
30 Correct 9 ms 23784 KB Output is correct
31 Correct 23 ms 23764 KB Output is correct
32 Correct 21 ms 23876 KB Output is correct
33 Correct 30 ms 23820 KB Output is correct
34 Correct 9 ms 23764 KB Output is correct

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 10 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 10 ms 23764 KB Output is correct
5 Correct 9 ms 23804 KB Output is correct
6 Correct 9 ms 23740 KB Output is correct
7 Correct 9 ms 23700 KB Output is correct
8 Correct 10 ms 23784 KB Output is correct
9 Correct 9 ms 23792 KB Output is correct
10 Correct 10 ms 23760 KB Output is correct
11 Correct 9 ms 23764 KB Output is correct
12 Correct 9 ms 23764 KB Output is correct
13 Correct 10 ms 23688 KB Output is correct
14 Correct 9 ms 23732 KB Output is correct
15 Correct 8 ms 23764 KB Output is correct
16 Correct 8 ms 23764 KB Output is correct
17 Correct 8 ms 23764 KB Output is correct
18 Correct 10 ms 23764 KB Output is correct
19 Correct 9 ms 23764 KB Output is correct
20 Correct 10 ms 23764 KB Output is correct
21 Correct 9 ms 23764 KB Output is correct
22 Correct 9 ms 23788 KB Output is correct
23 Correct 20 ms 23876 KB Output is correct
24 Correct 9 ms 23764 KB Output is correct
25 Correct 9 ms 23772 KB Output is correct
26 Correct 10 ms 23792 KB Output is correct
27 Correct 9 ms 23764 KB Output is correct
28 Correct 10 ms 23764 KB Output is correct
29 Correct 9 ms 23764 KB Output is correct
30 Correct 9 ms 23784 KB Output is correct
31 Correct 23 ms 23764 KB Output is correct
32 Correct 21 ms 23876 KB Output is correct
33 Correct 30 ms 23820 KB Output is correct
34 Correct 9 ms 23764 KB Output is correct
35 Correct 250 ms 94244 KB Output is correct
36 Execution timed out 1091 ms 94156 KB Time limit exceeded
37 Halted 0 ms 0 KB -

Subtask #5
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 10 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 10 ms 23764 KB Output is correct
5 Correct 9 ms 23804 KB Output is correct
6 Correct 9 ms 23740 KB Output is correct
7 Correct 9 ms 23700 KB Output is correct
8 Correct 10 ms 23784 KB Output is correct
9 Correct 9 ms 23792 KB Output is correct
10 Correct 10 ms 23760 KB Output is correct
11 Correct 9 ms 23764 KB Output is correct
12 Correct 9 ms 23764 KB Output is correct
13 Correct 10 ms 23688 KB Output is correct
14 Correct 9 ms 23732 KB Output is correct
15 Correct 8 ms 23764 KB Output is correct
16 Correct 8 ms 23764 KB Output is correct
17 Correct 8 ms 23764 KB Output is correct
18 Correct 10 ms 23764 KB Output is correct
19 Correct 9 ms 23764 KB Output is correct
20 Correct 10 ms 23764 KB Output is correct
21 Correct 9 ms 23764 KB Output is correct
22 Correct 9 ms 23788 KB Output is correct
23 Correct 20 ms 23876 KB Output is correct
24 Correct 9 ms 23764 KB Output is correct
25 Correct 9 ms 23772 KB Output is correct
26 Correct 10 ms 23792 KB Output is correct
27 Correct 9 ms 23764 KB Output is correct
28 Correct 10 ms 23764 KB Output is correct
29 Correct 9 ms 23764 KB Output is correct
30 Correct 9 ms 23784 KB Output is correct
31 Correct 23 ms 23764 KB Output is correct
32 Correct 21 ms 23876 KB Output is correct
33 Correct 30 ms 23820 KB Output is correct
34 Correct 9 ms 23764 KB Output is correct
35 Correct 250 ms 94244 KB Output is correct
36 Execution timed out 1091 ms 94156 KB Time limit exceeded
37 Halted 0 ms 0 KB -

Subtask #6
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 10 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 10 ms 23764 KB Output is correct
5 Correct 9 ms 23804 KB Output is correct
6 Correct 9 ms 23740 KB Output is correct
7 Correct 9 ms 23700 KB Output is correct
8 Correct 10 ms 23784 KB Output is correct
9 Correct 9 ms 23792 KB Output is correct
10 Correct 10 ms 23760 KB Output is correct
11 Correct 9 ms 23764 KB Output is correct
12 Correct 9 ms 23764 KB Output is correct
13 Correct 10 ms 23688 KB Output is correct
14 Correct 9 ms 23732 KB Output is correct
15 Correct 8 ms 23764 KB Output is correct
16 Correct 8 ms 23764 KB Output is correct
17 Correct 8 ms 23764 KB Output is correct
18 Correct 10 ms 23764 KB Output is correct
19 Correct 9 ms 23764 KB Output is correct
20 Correct 10 ms 23764 KB Output is correct
21 Correct 9 ms 23764 KB Output is correct
22 Correct 9 ms 23788 KB Output is correct
23 Correct 20 ms 23876 KB Output is correct
24 Correct 9 ms 23764 KB Output is correct
25 Correct 9 ms 23772 KB Output is correct
26 Correct 10 ms 23792 KB Output is correct
27 Correct 9 ms 23764 KB Output is correct
28 Correct 10 ms 23764 KB Output is correct
29 Correct 9 ms 23764 KB Output is correct
30 Correct 9 ms 23784 KB Output is correct
31 Correct 23 ms 23764 KB Output is correct
32 Correct 21 ms 23876 KB Output is correct
33 Correct 30 ms 23820 KB Output is correct
34 Correct 9 ms 23764 KB Output is correct
35 Correct 250 ms 94244 KB Output is correct
36 Execution timed out 1091 ms 94156 KB Time limit exceeded
37 Halted 0 ms 0 KB -