oj.uz

Submission #200740

# Submission time Handle Problem Language Result Execution time Memory
200740 2020-02-08T05:13:14 Z BThero Boat (APIO16_boat) C++17
58 / 100
 2000 ms 12408 KB 
// Why am I so dumb? :c
// chrono::system_clock::now().time_since_epoch().count()
                                                  
#include<bits/stdc++.h>
//#include<ext/pb_ds/assoc_container.hpp>
//#include<ext/pb_ds/tree_policy.hpp>

#define pb push_back
#define mp make_pair

#define all(x) (x).begin(), (x).end()

#define fi first
#define se second

using namespace std;
//using namespace __gnu_pbds;

typedef long long ll;   
typedef pair<int, int> pii;
//template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

const int MAXN = (int)1e3 + 5;
const int MOD = (int)1e9 + 7;

int fact[MAXN], rev[MAXN];

int dp[2][MAXN][MAXN];

int mem[MAXN][MAXN];

vector<int> T;

pii arr[MAXN];

int n;

int addMod(int a, int b, int m = MOD) {
    a += b;

    if (m <= a) {
        a -= m;
    }
    
    return a;
}

int mulMod(int a, int b, int m = MOD) {
    return a * 1ll * b % m;
}

int binPow(int a, int b, int m = MOD) {
    int ret = 1;

    while (b > 0) {
        if (b & 1) {
            ret = mulMod(ret, a, m);
        }

        a = mulMod(a, a, m);
        b >>= 1;
    }

    return ret;
}

void pre() {
    fact[0] = rev[0] = 1;

    for (int i = 1; i < MAXN; ++i) {
        fact[i] = mulMod(fact[i - 1], i);
        rev[i] = binPow(fact[i], MOD - 2);
    }
}

int C(int n, int k) {
    if (n < 0 || k < 0 || k > n) {
        return 0;
    }

    int a = 1, b = 1;

    for (int i = n - k + 1; i <= n; ++i) {
        a = mulMod(a, i);
    }

    for (int i = 1; i <= k; ++i) {
        b = mulMod(b, i);
    }                        

    return mulMod(a, binPow(b, MOD - 2));
}

int f(int idx, int cnt) {
    int x = T[idx + 1] - T[idx];
    return C(x, cnt);
}

void solve() {
    scanf("%d", &n);

    for (int i = 1; i <= n; ++i) {
        scanf("%d %d", &arr[i].fi, &arr[i].se);
        T.pb(arr[i].fi);
        T.pb(arr[i].se + 1);
    }

    T.pb(0);
    sort(all(T));
    T.resize(unique(all(T)) - T.begin());

    for (int i = 1; i <= n; ++i) {
        arr[i].fi = lower_bound(all(T), arr[i].fi) - T.begin();
        arr[i].se = lower_bound(all(T), arr[i].se + 1) - T.begin();
    }

    for (int i = 0; i + 1 < T.size(); ++i) {
        for (int j = 0; j <= n; ++j) {
            mem[i][j] = f(i, j);
        }
    }    

    dp[0][0][0] = 1;

    for (int i = 1; i <= n; ++i) {
        for (int c = 0; c < T.size(); ++c) {
            for (int cnt = 0; cnt <= n; ++cnt) {
                dp[1][c][cnt] = dp[0][c][cnt];
            }
        }

        int p = 0, w = 0;

        for (int c = arr[i].fi; c < arr[i].se; ++c) {
            for (int cnt = 1; cnt <= n; ++cnt) {
                dp[1][c][cnt] = addMod(dp[1][c][cnt], dp[0][c][cnt - 1]);                                                                
            }

            while (p < c) {
                for (int cnt = 0; cnt <= n; ++cnt) {
                    w = addMod(w, mulMod(dp[0][p][cnt], mem[p][cnt]));
                }

                ++p;
            }

            dp[1][c][1] = addMod(dp[1][c][1], w);
        }

        for (int c = 0; c < T.size(); ++c) {
            for (int cnt = 0; cnt <= n; ++cnt) {
                dp[0][c][cnt] = dp[1][c][cnt];
            }
        }
    }

    int ans = 0;

    for (int c = 0; c + 1 < T.size(); ++c) {
        for (int cnt = 1; cnt <= n; ++cnt) {
            ans = addMod(ans, mulMod(dp[0][c][cnt], mem[c][cnt]));            
        }
    }        

    printf("%d\n", ans);
}

int main() {
    int tt = 1;

    pre();

    while (tt--) {
        solve();
    }

    return 0;
}

Compilation message

boat.cpp: In function 'void solve()':
boat.cpp:117:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i + 1 < T.size(); ++i) {
                     ~~~~~~^~~~~~~~~~
boat.cpp:126:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int c = 0; c < T.size(); ++c) {
                         ~~^~~~~~~~~~
boat.cpp:150:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int c = 0; c < T.size(); ++c) {
                         ~~^~~~~~~~~~
boat.cpp:159:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int c = 0; c + 1 < T.size(); ++c) {
                     ~~~~~~^~~~~~~~~~
boat.cpp:100:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
boat.cpp:103:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d", &arr[i].fi, &arr[i].se);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1732 ms 12408 KB Output is correct
2 Correct 1760 ms 12248 KB Output is correct
3 Correct 1824 ms 12248 KB Output is correct
4 Correct 1748 ms 12276 KB Output is correct
5 Correct 1731 ms 12280 KB Output is correct
6 Correct 1721 ms 12152 KB Output is correct
7 Correct 1745 ms 12100 KB Output is correct
8 Correct 1748 ms 12092 KB Output is correct
9 Correct 1762 ms 12200 KB Output is correct
10 Correct 1724 ms 12200 KB Output is correct
11 Correct 1731 ms 12196 KB Output is correct
12 Correct 1690 ms 12292 KB Output is correct
13 Correct 1773 ms 12236 KB Output is correct
14 Correct 1735 ms 12280 KB Output is correct
15 Correct 1742 ms 12316 KB Output is correct
16 Correct 235 ms 2424 KB Output is correct
17 Correct 252 ms 2652 KB Output is correct
18 Correct 241 ms 2552 KB Output is correct
19 Correct 251 ms 2552 KB Output is correct
20 Correct 247 ms 2680 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1732 ms 12408 KB Output is correct
2 Correct 1760 ms 12248 KB Output is correct
3 Correct 1824 ms 12248 KB Output is correct
4 Correct 1748 ms 12276 KB Output is correct
5 Correct 1731 ms 12280 KB Output is correct
6 Correct 1721 ms 12152 KB Output is correct
7 Correct 1745 ms 12100 KB Output is correct
8 Correct 1748 ms 12092 KB Output is correct
9 Correct 1762 ms 12200 KB Output is correct
10 Correct 1724 ms 12200 KB Output is correct
11 Correct 1731 ms 12196 KB Output is correct
12 Correct 1690 ms 12292 KB Output is correct
13 Correct 1773 ms 12236 KB Output is correct
14 Correct 1735 ms 12280 KB Output is correct
15 Correct 1742 ms 12316 KB Output is correct
16 Correct 235 ms 2424 KB Output is correct
17 Correct 252 ms 2652 KB Output is correct
18 Correct 241 ms 2552 KB Output is correct
19 Correct 251 ms 2552 KB Output is correct
20 Correct 247 ms 2680 KB Output is correct
21 Correct 1092 ms 11160 KB Output is correct
22 Correct 1124 ms 11308 KB Output is correct
23 Correct 1063 ms 11000 KB Output is correct
24 Correct 1057 ms 11128 KB Output is correct
25 Correct 1105 ms 11128 KB Output is correct
26 Correct 1128 ms 10872 KB Output is correct
27 Correct 1187 ms 10872 KB Output is correct
28 Correct 1103 ms 10872 KB Output is correct
29 Correct 1127 ms 10744 KB Output is correct
30 Correct 1603 ms 12192 KB Output is correct
31 Correct 1667 ms 12152 KB Output is correct
32 Correct 1602 ms 12160 KB Output is correct
33 Correct 1635 ms 12280 KB Output is correct
34 Correct 1673 ms 12336 KB Output is correct
35 Correct 1597 ms 12280 KB Output is correct
36 Correct 1612 ms 12284 KB Output is correct
37 Correct 1688 ms 12160 KB Output is correct
38 Correct 1644 ms 12248 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 2680 KB Output is correct
2 Correct 29 ms 2808 KB Output is correct
3 Correct 30 ms 2680 KB Output is correct
4 Correct 32 ms 2812 KB Output is correct
5 Correct 30 ms 2680 KB Output is correct
6 Correct 30 ms 2680 KB Output is correct
7 Correct 31 ms 2680 KB Output is correct
8 Correct 30 ms 2680 KB Output is correct
9 Correct 30 ms 2680 KB Output is correct
10 Correct 30 ms 2680 KB Output is correct
11 Correct 30 ms 2680 KB Output is correct
12 Correct 31 ms 2808 KB Output is correct
13 Correct 29 ms 2680 KB Output is correct
14 Correct 29 ms 2680 KB Output is correct
15 Correct 30 ms 2680 KB Output is correct
16 Correct 17 ms 1656 KB Output is correct
17 Correct 18 ms 1656 KB Output is correct
18 Correct 16 ms 1660 KB Output is correct
19 Correct 17 ms 1656 KB Output is correct
20 Correct 17 ms 1784 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1732 ms 12408 KB Output is correct
2 Correct 1760 ms 12248 KB Output is correct
3 Correct 1824 ms 12248 KB Output is correct
4 Correct 1748 ms 12276 KB Output is correct
5 Correct 1731 ms 12280 KB Output is correct
6 Correct 1721 ms 12152 KB Output is correct
7 Correct 1745 ms 12100 KB Output is correct
8 Correct 1748 ms 12092 KB Output is correct
9 Correct 1762 ms 12200 KB Output is correct
10 Correct 1724 ms 12200 KB Output is correct
11 Correct 1731 ms 12196 KB Output is correct
12 Correct 1690 ms 12292 KB Output is correct
13 Correct 1773 ms 12236 KB Output is correct
14 Correct 1735 ms 12280 KB Output is correct
15 Correct 1742 ms 12316 KB Output is correct
16 Correct 235 ms 2424 KB Output is correct
17 Correct 252 ms 2652 KB Output is correct
18 Correct 241 ms 2552 KB Output is correct
19 Correct 251 ms 2552 KB Output is correct
20 Correct 247 ms 2680 KB Output is correct
21 Correct 1092 ms 11160 KB Output is correct
22 Correct 1124 ms 11308 KB Output is correct
23 Correct 1063 ms 11000 KB Output is correct
24 Correct 1057 ms 11128 KB Output is correct
25 Correct 1105 ms 11128 KB Output is correct
26 Correct 1128 ms 10872 KB Output is correct
27 Correct 1187 ms 10872 KB Output is correct
28 Correct 1103 ms 10872 KB Output is correct
29 Correct 1127 ms 10744 KB Output is correct
30 Correct 1603 ms 12192 KB Output is correct
31 Correct 1667 ms 12152 KB Output is correct
32 Correct 1602 ms 12160 KB Output is correct
33 Correct 1635 ms 12280 KB Output is correct
34 Correct 1673 ms 12336 KB Output is correct
35 Correct 1597 ms 12280 KB Output is correct
36 Correct 1612 ms 12284 KB Output is correct
37 Correct 1688 ms 12160 KB Output is correct
38 Correct 1644 ms 12248 KB Output is correct
39 Correct 30 ms 2680 KB Output is correct
40 Correct 29 ms 2808 KB Output is correct
41 Correct 30 ms 2680 KB Output is correct
42 Correct 32 ms 2812 KB Output is correct
43 Correct 30 ms 2680 KB Output is correct
44 Correct 30 ms 2680 KB Output is correct
45 Correct 31 ms 2680 KB Output is correct
46 Correct 30 ms 2680 KB Output is correct
47 Correct 30 ms 2680 KB Output is correct
48 Correct 30 ms 2680 KB Output is correct
49 Correct 30 ms 2680 KB Output is correct
50 Correct 31 ms 2808 KB Output is correct
51 Correct 29 ms 2680 KB Output is correct
52 Correct 29 ms 2680 KB Output is correct
53 Correct 30 ms 2680 KB Output is correct
54 Correct 17 ms 1656 KB Output is correct
55 Correct 18 ms 1656 KB Output is correct
56 Correct 16 ms 1660 KB Output is correct
57 Correct 17 ms 1656 KB Output is correct
58 Correct 17 ms 1784 KB Output is correct
59 Execution timed out 2079 ms 12280 KB Time limit exceeded
60 Halted 0 ms 0 KB -