oj.uz

Submission #111237

# Submission time Handle Problem Language Result Execution time Memory
111237 2019-05-14T11:56:54 Z tictaccat Boat (APIO16_boat) C++14
100 / 100
 418 ms 11128 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long

const int MAX = 1000 + 5;
const int MOD = 1e9 + 7;
const int INV2 = 5e8 + 4;

int N,ans;
vector<int> a(MAX), b(MAX), ways(2*MAX), newWays(2*MAX), bin; //ways[i] = ways of ending between bin[i] and bin[i+1]-1
vector<vector<int>> Z(MAX), val(MAX,vector<int>(MAX));
vector<int> invs(MAX,-1);

int exp(int a, int e) {
    if (e == 0) return 1;
    if (e%2 == 1) return a * exp(a,e-1) % MOD;
    int temp = exp(a,e/2);
    return temp * temp % MOD;
}

int inv(int k) {
    return exp(k,MOD-2);
}

int pre(int k) {
    int res = 0;
    int sz = bin[k+1] - bin[k];
    val[k][0] = 1;
    for (int i = 1; i <= N; i++) {
        val[k][i] = val[k][i-1] * (sz+i-1) % MOD * inv(i) % MOD;
    }
    return res;
}

int calc(int k) {
    int res = 0;
    for (int i = 1; i <= Z[k].size(); i++) {
        res += val[k][i] * Z[k][Z[k].size()-i] % MOD;
        res %= MOD;
    }
    return res;
}

main() {

    cin >> N;

    for (int i = 0; i < N; i++) {
        cin >> a[i] >> b[i];
        b[i]++;
        bin.push_back(a[i]);
        bin.push_back(b[i]);
    }

    bin.push_back(2);

    sort(bin.begin(),bin.end());
    bin.erase(unique(bin.begin(),bin.end()),bin.end());

    for (int i = 0; i < bin.size(); i++) pre(i);

    for (int i = 0; i < N; i++) {
      //  cout << i << "\n";
        int pre = 1, k = 0; 
        for (; bin[k] < a[i]; k++) {pre += ways[k]; pre %= MOD;}
        for (; k+1 < bin.size() && bin[k+1] <= b[i]; k++) {
            Z[k].push_back(pre);
            newWays[k] = calc(k);
            pre += ways[k];
            pre %= MOD;
        }
        ways = newWays;
        //cout << ways[0] << "\n";
    }

    for (int k = 0; k < bin.size()-1; k++) {ans += ways[k]; ans %= MOD;}

    cout << (ans < 0 ? ans + MOD : ans) << "\n";

    return 0;
}

Compilation message

boat.cpp: In function 'long long int calc(long long int)':
boat.cpp:39:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 1; i <= Z[k].size(); i++) {
                     ~~^~~~~~~~~~~~~~
boat.cpp: At global scope:
boat.cpp:46:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
 main() {
      ^
boat.cpp: In function 'int main()':
boat.cpp:62:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < bin.size(); i++) pre(i);
                     ~~^~~~~~~~~~~~
boat.cpp:68:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (; k+1 < bin.size() && bin[k+1] <= b[i]; k++) {
                ~~~~^~~~~~~~~~~~
boat.cpp:78:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int k = 0; k < bin.size()-1; k++) {ans += ways[k]; ans %= MOD;}
                     ~~^~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 8440 KB Output is correct
2 Correct 150 ms 8320 KB Output is correct
3 Correct 165 ms 8320 KB Output is correct
4 Correct 177 ms 8516 KB Output is correct
5 Correct 157 ms 8320 KB Output is correct
6 Correct 155 ms 8424 KB Output is correct
7 Correct 152 ms 8424 KB Output is correct
8 Correct 167 ms 8424 KB Output is correct
9 Correct 147 ms 8420 KB Output is correct
10 Correct 148 ms 8320 KB Output is correct
11 Correct 148 ms 8384 KB Output is correct
12 Correct 156 ms 8420 KB Output is correct
13 Correct 152 ms 8388 KB Output is correct
14 Correct 148 ms 8320 KB Output is correct
15 Correct 171 ms 8320 KB Output is correct
16 Correct 36 ms 8320 KB Output is correct
17 Correct 37 ms 8320 KB Output is correct
18 Correct 39 ms 8320 KB Output is correct
19 Correct 36 ms 8320 KB Output is correct
20 Correct 37 ms 8320 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 8440 KB Output is correct
2 Correct 150 ms 8320 KB Output is correct
3 Correct 165 ms 8320 KB Output is correct
4 Correct 177 ms 8516 KB Output is correct
5 Correct 157 ms 8320 KB Output is correct
6 Correct 155 ms 8424 KB Output is correct
7 Correct 152 ms 8424 KB Output is correct
8 Correct 167 ms 8424 KB Output is correct
9 Correct 147 ms 8420 KB Output is correct
10 Correct 148 ms 8320 KB Output is correct
11 Correct 148 ms 8384 KB Output is correct
12 Correct 156 ms 8420 KB Output is correct
13 Correct 152 ms 8388 KB Output is correct
14 Correct 148 ms 8320 KB Output is correct
15 Correct 171 ms 8320 KB Output is correct
16 Correct 36 ms 8320 KB Output is correct
17 Correct 37 ms 8320 KB Output is correct
18 Correct 39 ms 8320 KB Output is correct
19 Correct 36 ms 8320 KB Output is correct
20 Correct 37 ms 8320 KB Output is correct
21 Correct 227 ms 10056 KB Output is correct
22 Correct 242 ms 10184 KB Output is correct
23 Correct 215 ms 9980 KB Output is correct
24 Correct 233 ms 10104 KB Output is correct
25 Correct 247 ms 10048 KB Output is correct
26 Correct 358 ms 10616 KB Output is correct
27 Correct 341 ms 10808 KB Output is correct
28 Correct 328 ms 10744 KB Output is correct
29 Correct 310 ms 10632 KB Output is correct
30 Correct 150 ms 8448 KB Output is correct
31 Correct 154 ms 8404 KB Output is correct
32 Correct 168 ms 8396 KB Output is correct
33 Correct 153 ms 8440 KB Output is correct
34 Correct 154 ms 8320 KB Output is correct
35 Correct 156 ms 8400 KB Output is correct
36 Correct 157 ms 8424 KB Output is correct
37 Correct 165 ms 8320 KB Output is correct
38 Correct 163 ms 8320 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 8368 KB Output is correct
2 Correct 19 ms 8448 KB Output is correct
3 Correct 15 ms 8448 KB Output is correct
4 Correct 14 ms 8448 KB Output is correct
5 Correct 16 ms 8440 KB Output is correct
6 Correct 15 ms 8448 KB Output is correct
7 Correct 16 ms 8448 KB Output is correct
8 Correct 15 ms 8448 KB Output is correct
9 Correct 18 ms 8448 KB Output is correct
10 Correct 19 ms 8448 KB Output is correct
11 Correct 18 ms 8448 KB Output is correct
12 Correct 18 ms 8448 KB Output is correct
13 Correct 17 ms 8372 KB Output is correct
14 Correct 15 ms 8448 KB Output is correct
15 Correct 15 ms 8448 KB Output is correct
16 Correct 14 ms 8320 KB Output is correct
17 Correct 12 ms 8448 KB Output is correct
18 Correct 12 ms 8448 KB Output is correct
19 Correct 12 ms 8448 KB Output is correct
20 Correct 14 ms 8448 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 8440 KB Output is correct
2 Correct 150 ms 8320 KB Output is correct
3 Correct 165 ms 8320 KB Output is correct
4 Correct 177 ms 8516 KB Output is correct
5 Correct 157 ms 8320 KB Output is correct
6 Correct 155 ms 8424 KB Output is correct
7 Correct 152 ms 8424 KB Output is correct
8 Correct 167 ms 8424 KB Output is correct
9 Correct 147 ms 8420 KB Output is correct
10 Correct 148 ms 8320 KB Output is correct
11 Correct 148 ms 8384 KB Output is correct
12 Correct 156 ms 8420 KB Output is correct
13 Correct 152 ms 8388 KB Output is correct
14 Correct 148 ms 8320 KB Output is correct
15 Correct 171 ms 8320 KB Output is correct
16 Correct 36 ms 8320 KB Output is correct
17 Correct 37 ms 8320 KB Output is correct
18 Correct 39 ms 8320 KB Output is correct
19 Correct 36 ms 8320 KB Output is correct
20 Correct 37 ms 8320 KB Output is correct
21 Correct 227 ms 10056 KB Output is correct
22 Correct 242 ms 10184 KB Output is correct
23 Correct 215 ms 9980 KB Output is correct
24 Correct 233 ms 10104 KB Output is correct
25 Correct 247 ms 10048 KB Output is correct
26 Correct 358 ms 10616 KB Output is correct
27 Correct 341 ms 10808 KB Output is correct
28 Correct 328 ms 10744 KB Output is correct
29 Correct 310 ms 10632 KB Output is correct
30 Correct 150 ms 8448 KB Output is correct
31 Correct 154 ms 8404 KB Output is correct
32 Correct 168 ms 8396 KB Output is correct
33 Correct 153 ms 8440 KB Output is correct
34 Correct 154 ms 8320 KB Output is correct
35 Correct 156 ms 8400 KB Output is correct
36 Correct 157 ms 8424 KB Output is correct
37 Correct 165 ms 8320 KB Output is correct
38 Correct 163 ms 8320 KB Output is correct
39 Correct 16 ms 8368 KB Output is correct
40 Correct 19 ms 8448 KB Output is correct
41 Correct 15 ms 8448 KB Output is correct
42 Correct 14 ms 8448 KB Output is correct
43 Correct 16 ms 8440 KB Output is correct
44 Correct 15 ms 8448 KB Output is correct
45 Correct 16 ms 8448 KB Output is correct
46 Correct 15 ms 8448 KB Output is correct
47 Correct 18 ms 8448 KB Output is correct
48 Correct 19 ms 8448 KB Output is correct
49 Correct 18 ms 8448 KB Output is correct
50 Correct 18 ms 8448 KB Output is correct
51 Correct 17 ms 8372 KB Output is correct
52 Correct 15 ms 8448 KB Output is correct
53 Correct 15 ms 8448 KB Output is correct
54 Correct 14 ms 8320 KB Output is correct
55 Correct 12 ms 8448 KB Output is correct
56 Correct 12 ms 8448 KB Output is correct
57 Correct 12 ms 8448 KB Output is correct
58 Correct 14 ms 8448 KB Output is correct
59 Correct 271 ms 10232 KB Output is correct
60 Correct 262 ms 10024 KB Output is correct
61 Correct 242 ms 10108 KB Output is correct
62 Correct 256 ms 10488 KB Output is correct
63 Correct 285 ms 9976 KB Output is correct
64 Correct 387 ms 10968 KB Output is correct
65 Correct 388 ms 11028 KB Output is correct
66 Correct 406 ms 11076 KB Output is correct
67 Correct 418 ms 11068 KB Output is correct
68 Correct 381 ms 11128 KB Output is correct
69 Correct 249 ms 9984 KB Output is correct
70 Correct 243 ms 9976 KB Output is correct
71 Correct 265 ms 10104 KB Output is correct
72 Correct 232 ms 9976 KB Output is correct
73 Correct 293 ms 10088 KB Output is correct
74 Correct 61 ms 8696 KB Output is correct
75 Correct 54 ms 8696 KB Output is correct
76 Correct 63 ms 8824 KB Output is correct
77 Correct 53 ms 8656 KB Output is correct
78 Correct 56 ms 8824 KB Output is correct