oj.uz

Submission #102791

# Submission time Handle Problem Language Result Execution time Memory
102791 2019-03-27T14:15:11 Z CorneliuVadimTudor Boat (APIO16_boat) C++14
58 / 100
 2000 ms 4224 KB 
#include <bits/stdc++.h>
#define MAXN 1000
#define MAXG 2000

struct Event{
    int time, node, tip;
    bool operator < (const Event &aux) const{
        return time < aux.time;
    }
};
std::vector <Event> V;
std::set <int> S;
std::vector <int> X;

const int MOD = 1000000007;
int d[1 + MAXG][1 + MAXN];
int C[1 + MAXN], D[1 + MAXN];

inline int logPow(int a, int n){
    int p = 1;
    while(n){
        if(n % 2) p = 1LL * p * a % MOD;
        a = 1LL * a * a % MOD;
        n /= 2;
    }
    return p;
}

int main(){
    FILE*fi,*fo;
    //fi = fopen("a.in","r");
    //fo = fopen("a.out","w");
    fi = stdin;
    fo = stdout;

    int n;
    fscanf(fi,"%d", &n);
    for(int i = 1; i <= n; i++){
        int a, b;
        fscanf(fi,"%d%d", &a, &b);
        V.push_back({a, i, 1});
        V.push_back({b + 1, i, -1});
    }
    std::sort(V.begin(), V.end());

    int j = 0, group = 0;
    d[group][0] = 1;
    for(int i = 0; i < V.size(); i = j){
        j = i;
        while(j < V.size() && V[j].time == V[i].time){
            if(V[j].tip == 1) S.insert(V[j].node);
            else S.erase(V[j].node);
            j++;
        }
        if(!S.size()) continue;

        X.clear();
        for(auto y: S) X.push_back(y);

        int len = V[j].time - V[i].time;
        C[0] = 1;
        for(int p = 1; p <= std::min((int)S.size(), len); p++){
            C[p] = 1LL * C[p - 1] * (len - p + 1) % MOD;
            C[p] = 1LL * C[p] * logPow(p, MOD - 2) % MOD;
        }

        for(int x = 0; x <= S.size(); x++){
            int Cxp = 1;
            D[x] = 0;
            for(int p = 1; p <= std::min(x, len); p++){
                Cxp = 1LL * Cxp * (x - p + 1) % MOD;
                Cxp = 1LL * Cxp * logPow(p, MOD - 2) % MOD;
                D[x] = (D[x] + 1LL * C[p] * Cxp % MOD) % MOD;
            }
        }

        group++;
        for(int prev = 0; prev <= n; prev++){
            int ind = 0;
            while(ind < X.size() && X[ind] <= prev) ind++;

            int x = 0;
            while(ind < X.size()){
                x++;
                d[group][X[ind]] = (d[group][X[ind]] + 1LL * d[group - 1][prev] * D[x]) % MOD;
                ind++;
            }
        }

        int ind = 0;
        int prev = d[group][X[ind]];
        ind++;
        while(ind < X.size()){
            int aux = d[group][X[ind]];
            d[group][X[ind]] = (d[group][X[ind]] - prev + MOD) % MOD;
            prev = aux;
            ind++;
        }

        for(int prev = 0; prev <= n; prev++)
            d[group][prev] = (d[group][prev] + d[group - 1][prev]) % MOD;
    }

    int ans = 0;
    for(int prev = 1; prev <= n; prev++)
        ans = (ans + d[group][prev]) % MOD;

    fprintf(fo,"%lld", ans);

    return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:48:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0; i < V.size(); i = j){
                    ~~^~~~~~~~~~
boat.cpp:50:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         while(j < V.size() && V[j].time == V[i].time){
               ~~^~~~~~~~~~
boat.cpp:67:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int x = 0; x <= S.size(); x++){
                        ~~^~~~~~~~~~~
boat.cpp:80:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             while(ind < X.size() && X[ind] <= prev) ind++;
                   ~~~~^~~~~~~~~~
boat.cpp:83:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             while(ind < X.size()){
                   ~~~~^~~~~~~~~~
boat.cpp:93:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         while(ind < X.size()){
               ~~~~^~~~~~~~~~
boat.cpp:108:27: warning: format '%lld' expects argument of type 'long long int', but argument 3 has type 'int' [-Wformat=]
     fprintf(fo,"%lld", ans);
                           ^
boat.cpp:37:11: warning: ignoring return value of 'int fscanf(FILE*, const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     fscanf(fi,"%d", &n);
     ~~~~~~^~~~~~~~~~~~~
boat.cpp:40:15: warning: ignoring return value of 'int fscanf(FILE*, const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         fscanf(fi,"%d%d", &a, &b);
         ~~~~~~^~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2304 KB Output is correct
2 Correct 7 ms 2304 KB Output is correct
3 Correct 6 ms 2304 KB Output is correct
4 Correct 6 ms 2304 KB Output is correct
5 Correct 7 ms 2304 KB Output is correct
6 Correct 6 ms 2304 KB Output is correct
7 Correct 6 ms 2304 KB Output is correct
8 Correct 6 ms 2304 KB Output is correct
9 Correct 7 ms 2304 KB Output is correct
10 Correct 7 ms 2304 KB Output is correct
11 Correct 7 ms 2304 KB Output is correct
12 Correct 6 ms 2304 KB Output is correct
13 Correct 7 ms 2304 KB Output is correct
14 Correct 6 ms 2304 KB Output is correct
15 Correct 5 ms 2304 KB Output is correct
16 Correct 4 ms 768 KB Output is correct
17 Correct 2 ms 640 KB Output is correct
18 Correct 4 ms 768 KB Output is correct
19 Correct 5 ms 756 KB Output is correct
20 Correct 5 ms 768 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2304 KB Output is correct
2 Correct 7 ms 2304 KB Output is correct
3 Correct 6 ms 2304 KB Output is correct
4 Correct 6 ms 2304 KB Output is correct
5 Correct 7 ms 2304 KB Output is correct
6 Correct 6 ms 2304 KB Output is correct
7 Correct 6 ms 2304 KB Output is correct
8 Correct 6 ms 2304 KB Output is correct
9 Correct 7 ms 2304 KB Output is correct
10 Correct 7 ms 2304 KB Output is correct
11 Correct 7 ms 2304 KB Output is correct
12 Correct 6 ms 2304 KB Output is correct
13 Correct 7 ms 2304 KB Output is correct
14 Correct 6 ms 2304 KB Output is correct
15 Correct 5 ms 2304 KB Output is correct
16 Correct 4 ms 768 KB Output is correct
17 Correct 2 ms 640 KB Output is correct
18 Correct 4 ms 768 KB Output is correct
19 Correct 5 ms 756 KB Output is correct
20 Correct 5 ms 768 KB Output is correct
21 Correct 315 ms 4036 KB Output is correct
22 Correct 337 ms 4048 KB Output is correct
23 Correct 290 ms 3832 KB Output is correct
24 Correct 347 ms 3884 KB Output is correct
25 Correct 321 ms 4016 KB Output is correct
26 Correct 435 ms 3864 KB Output is correct
27 Correct 409 ms 3832 KB Output is correct
28 Correct 423 ms 3920 KB Output is correct
29 Correct 358 ms 3832 KB Output is correct
30 Correct 10 ms 4224 KB Output is correct
31 Correct 11 ms 4224 KB Output is correct
32 Correct 10 ms 4224 KB Output is correct
33 Correct 11 ms 4224 KB Output is correct
34 Correct 14 ms 4224 KB Output is correct
35 Correct 12 ms 4224 KB Output is correct
36 Correct 12 ms 4224 KB Output is correct
37 Correct 10 ms 4224 KB Output is correct
38 Correct 12 ms 4224 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 1116 KB Output is correct
2 Correct 22 ms 1152 KB Output is correct
3 Correct 29 ms 1152 KB Output is correct
4 Correct 34 ms 1128 KB Output is correct
5 Correct 36 ms 1144 KB Output is correct
6 Correct 68 ms 1144 KB Output is correct
7 Correct 67 ms 1144 KB Output is correct
8 Correct 70 ms 1144 KB Output is correct
9 Correct 67 ms 1144 KB Output is correct
10 Correct 71 ms 1144 KB Output is correct
11 Correct 36 ms 1144 KB Output is correct
12 Correct 27 ms 1116 KB Output is correct
13 Correct 32 ms 1144 KB Output is correct
14 Correct 30 ms 1144 KB Output is correct
15 Correct 34 ms 1144 KB Output is correct
16 Correct 16 ms 768 KB Output is correct
17 Correct 14 ms 768 KB Output is correct
18 Correct 15 ms 768 KB Output is correct
19 Correct 13 ms 768 KB Output is correct
20 Correct 18 ms 768 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2304 KB Output is correct
2 Correct 7 ms 2304 KB Output is correct
3 Correct 6 ms 2304 KB Output is correct
4 Correct 6 ms 2304 KB Output is correct
5 Correct 7 ms 2304 KB Output is correct
6 Correct 6 ms 2304 KB Output is correct
7 Correct 6 ms 2304 KB Output is correct
8 Correct 6 ms 2304 KB Output is correct
9 Correct 7 ms 2304 KB Output is correct
10 Correct 7 ms 2304 KB Output is correct
11 Correct 7 ms 2304 KB Output is correct
12 Correct 6 ms 2304 KB Output is correct
13 Correct 7 ms 2304 KB Output is correct
14 Correct 6 ms 2304 KB Output is correct
15 Correct 5 ms 2304 KB Output is correct
16 Correct 4 ms 768 KB Output is correct
17 Correct 2 ms 640 KB Output is correct
18 Correct 4 ms 768 KB Output is correct
19 Correct 5 ms 756 KB Output is correct
20 Correct 5 ms 768 KB Output is correct
21 Correct 315 ms 4036 KB Output is correct
22 Correct 337 ms 4048 KB Output is correct
23 Correct 290 ms 3832 KB Output is correct
24 Correct 347 ms 3884 KB Output is correct
25 Correct 321 ms 4016 KB Output is correct
26 Correct 435 ms 3864 KB Output is correct
27 Correct 409 ms 3832 KB Output is correct
28 Correct 423 ms 3920 KB Output is correct
29 Correct 358 ms 3832 KB Output is correct
30 Correct 10 ms 4224 KB Output is correct
31 Correct 11 ms 4224 KB Output is correct
32 Correct 10 ms 4224 KB Output is correct
33 Correct 11 ms 4224 KB Output is correct
34 Correct 14 ms 4224 KB Output is correct
35 Correct 12 ms 4224 KB Output is correct
36 Correct 12 ms 4224 KB Output is correct
37 Correct 10 ms 4224 KB Output is correct
38 Correct 12 ms 4224 KB Output is correct
39 Correct 32 ms 1116 KB Output is correct
40 Correct 22 ms 1152 KB Output is correct
41 Correct 29 ms 1152 KB Output is correct
42 Correct 34 ms 1128 KB Output is correct
43 Correct 36 ms 1144 KB Output is correct
44 Correct 68 ms 1144 KB Output is correct
45 Correct 67 ms 1144 KB Output is correct
46 Correct 70 ms 1144 KB Output is correct
47 Correct 67 ms 1144 KB Output is correct
48 Correct 71 ms 1144 KB Output is correct
49 Correct 36 ms 1144 KB Output is correct
50 Correct 27 ms 1116 KB Output is correct
51 Correct 32 ms 1144 KB Output is correct
52 Correct 30 ms 1144 KB Output is correct
53 Correct 34 ms 1144 KB Output is correct
54 Correct 16 ms 768 KB Output is correct
55 Correct 14 ms 768 KB Output is correct
56 Correct 15 ms 768 KB Output is correct
57 Correct 13 ms 768 KB Output is correct
58 Correct 18 ms 768 KB Output is correct
59 Execution timed out 2041 ms 2584 KB Time limit exceeded
60 Halted 0 ms 0 KB -