Submission #200865

# Submission time Handle Problem Language Result Execution time Memory
200865 2020-02-08T10:39:19 Z BThero Boat (APIO16_boat) C++17
100 / 100
874 ms 8440 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];

vector<int> T;

pii arr[MAXN];

int n;

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

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

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

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

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

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

    return ret;
}

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();
    }           

    fact[0] = rev[0] = 1;

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

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

    for (int i = 1; i <= n; ++i) {
        int p = 0, w = 0;

        for (int c = arr[i].fi; c < arr[i].se; ++c) {
            int lim = T[c + 1] - T[c];

            for (int cnt = 1; cnt <= i; ++cnt) {
                int tmp = dp[0][c][cnt - 1];
                mulMod(tmp, max(0, lim - cnt + 1));
                addMod(dp[1][c][cnt], tmp);                                                                
            }

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

                ++p;
            }

            int tmp = w;
            mulMod(tmp, lim);
            addMod(dp[1][c][1], tmp);
        }

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

    int ans = 0;

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

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

int main() {
    int tt = 1;

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

    return 0;
}

Compilation message

boat.cpp: In function 'void solve()':
boat.cpp:118:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int c = 0; c < T.size(); ++c) {
                         ~~^~~~~~~~~~
boat.cpp:128:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int c = 1; c + 1 < T.size(); ++c) {
                     ~~~~~~^~~~~~~~~~
boat.cpp:64:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
boat.cpp:67:14: 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);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 440 ms 8184 KB Output is correct
2 Correct 436 ms 8184 KB Output is correct
3 Correct 426 ms 8312 KB Output is correct
4 Correct 416 ms 8184 KB Output is correct
5 Correct 437 ms 8264 KB Output is correct
6 Correct 502 ms 8312 KB Output is correct
7 Correct 497 ms 8316 KB Output is correct
8 Correct 497 ms 8312 KB Output is correct
9 Correct 486 ms 8184 KB Output is correct
10 Correct 516 ms 8312 KB Output is correct
11 Correct 492 ms 8312 KB Output is correct
12 Correct 477 ms 8312 KB Output is correct
13 Correct 487 ms 8312 KB Output is correct
14 Correct 498 ms 8440 KB Output is correct
15 Correct 518 ms 8184 KB Output is correct
16 Correct 61 ms 1784 KB Output is correct
17 Correct 64 ms 1912 KB Output is correct
18 Correct 62 ms 1784 KB Output is correct
19 Correct 63 ms 1784 KB Output is correct
20 Correct 65 ms 1660 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 440 ms 8184 KB Output is correct
2 Correct 436 ms 8184 KB Output is correct
3 Correct 426 ms 8312 KB Output is correct
4 Correct 416 ms 8184 KB Output is correct
5 Correct 437 ms 8264 KB Output is correct
6 Correct 502 ms 8312 KB Output is correct
7 Correct 497 ms 8316 KB Output is correct
8 Correct 497 ms 8312 KB Output is correct
9 Correct 486 ms 8184 KB Output is correct
10 Correct 516 ms 8312 KB Output is correct
11 Correct 492 ms 8312 KB Output is correct
12 Correct 477 ms 8312 KB Output is correct
13 Correct 487 ms 8312 KB Output is correct
14 Correct 498 ms 8440 KB Output is correct
15 Correct 518 ms 8184 KB Output is correct
16 Correct 61 ms 1784 KB Output is correct
17 Correct 64 ms 1912 KB Output is correct
18 Correct 62 ms 1784 KB Output is correct
19 Correct 63 ms 1784 KB Output is correct
20 Correct 65 ms 1660 KB Output is correct
21 Correct 666 ms 7576 KB Output is correct
22 Correct 706 ms 7792 KB Output is correct
23 Correct 640 ms 7752 KB Output is correct
24 Correct 755 ms 7544 KB Output is correct
25 Correct 585 ms 7544 KB Output is correct
26 Correct 842 ms 7416 KB Output is correct
27 Correct 874 ms 7544 KB Output is correct
28 Correct 711 ms 7416 KB Output is correct
29 Correct 708 ms 7416 KB Output is correct
30 Correct 704 ms 8312 KB Output is correct
31 Correct 525 ms 8312 KB Output is correct
32 Correct 512 ms 8312 KB Output is correct
33 Correct 580 ms 8312 KB Output is correct
34 Correct 521 ms 8312 KB Output is correct
35 Correct 451 ms 8312 KB Output is correct
36 Correct 447 ms 8312 KB Output is correct
37 Correct 451 ms 8184 KB Output is correct
38 Correct 640 ms 8440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 1916 KB Output is correct
2 Correct 16 ms 1912 KB Output is correct
3 Correct 11 ms 1912 KB Output is correct
4 Correct 20 ms 1912 KB Output is correct
5 Correct 11 ms 1912 KB Output is correct
6 Correct 14 ms 1912 KB Output is correct
7 Correct 16 ms 1912 KB Output is correct
8 Correct 12 ms 1912 KB Output is correct
9 Correct 12 ms 1912 KB Output is correct
10 Correct 12 ms 1912 KB Output is correct
11 Correct 11 ms 1916 KB Output is correct
12 Correct 10 ms 1912 KB Output is correct
13 Correct 11 ms 1912 KB Output is correct
14 Correct 11 ms 1912 KB Output is correct
15 Correct 11 ms 1912 KB Output is correct
16 Correct 9 ms 1272 KB Output is correct
17 Correct 8 ms 1272 KB Output is correct
18 Correct 8 ms 1272 KB Output is correct
19 Correct 9 ms 1272 KB Output is correct
20 Correct 10 ms 1144 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 440 ms 8184 KB Output is correct
2 Correct 436 ms 8184 KB Output is correct
3 Correct 426 ms 8312 KB Output is correct
4 Correct 416 ms 8184 KB Output is correct
5 Correct 437 ms 8264 KB Output is correct
6 Correct 502 ms 8312 KB Output is correct
7 Correct 497 ms 8316 KB Output is correct
8 Correct 497 ms 8312 KB Output is correct
9 Correct 486 ms 8184 KB Output is correct
10 Correct 516 ms 8312 KB Output is correct
11 Correct 492 ms 8312 KB Output is correct
12 Correct 477 ms 8312 KB Output is correct
13 Correct 487 ms 8312 KB Output is correct
14 Correct 498 ms 8440 KB Output is correct
15 Correct 518 ms 8184 KB Output is correct
16 Correct 61 ms 1784 KB Output is correct
17 Correct 64 ms 1912 KB Output is correct
18 Correct 62 ms 1784 KB Output is correct
19 Correct 63 ms 1784 KB Output is correct
20 Correct 65 ms 1660 KB Output is correct
21 Correct 666 ms 7576 KB Output is correct
22 Correct 706 ms 7792 KB Output is correct
23 Correct 640 ms 7752 KB Output is correct
24 Correct 755 ms 7544 KB Output is correct
25 Correct 585 ms 7544 KB Output is correct
26 Correct 842 ms 7416 KB Output is correct
27 Correct 874 ms 7544 KB Output is correct
28 Correct 711 ms 7416 KB Output is correct
29 Correct 708 ms 7416 KB Output is correct
30 Correct 704 ms 8312 KB Output is correct
31 Correct 525 ms 8312 KB Output is correct
32 Correct 512 ms 8312 KB Output is correct
33 Correct 580 ms 8312 KB Output is correct
34 Correct 521 ms 8312 KB Output is correct
35 Correct 451 ms 8312 KB Output is correct
36 Correct 447 ms 8312 KB Output is correct
37 Correct 451 ms 8184 KB Output is correct
38 Correct 640 ms 8440 KB Output is correct
39 Correct 14 ms 1916 KB Output is correct
40 Correct 16 ms 1912 KB Output is correct
41 Correct 11 ms 1912 KB Output is correct
42 Correct 20 ms 1912 KB Output is correct
43 Correct 11 ms 1912 KB Output is correct
44 Correct 14 ms 1912 KB Output is correct
45 Correct 16 ms 1912 KB Output is correct
46 Correct 12 ms 1912 KB Output is correct
47 Correct 12 ms 1912 KB Output is correct
48 Correct 12 ms 1912 KB Output is correct
49 Correct 11 ms 1916 KB Output is correct
50 Correct 10 ms 1912 KB Output is correct
51 Correct 11 ms 1912 KB Output is correct
52 Correct 11 ms 1912 KB Output is correct
53 Correct 11 ms 1912 KB Output is correct
54 Correct 9 ms 1272 KB Output is correct
55 Correct 8 ms 1272 KB Output is correct
56 Correct 8 ms 1272 KB Output is correct
57 Correct 9 ms 1272 KB Output is correct
58 Correct 10 ms 1144 KB Output is correct
59 Correct 645 ms 8400 KB Output is correct
60 Correct 628 ms 8440 KB Output is correct
61 Correct 634 ms 8312 KB Output is correct
62 Correct 638 ms 8312 KB Output is correct
63 Correct 662 ms 8316 KB Output is correct
64 Correct 778 ms 8440 KB Output is correct
65 Correct 789 ms 8440 KB Output is correct
66 Correct 783 ms 8312 KB Output is correct
67 Correct 774 ms 8312 KB Output is correct
68 Correct 765 ms 8312 KB Output is correct
69 Correct 637 ms 8312 KB Output is correct
70 Correct 628 ms 8312 KB Output is correct
71 Correct 609 ms 8184 KB Output is correct
72 Correct 637 ms 8312 KB Output is correct
73 Correct 635 ms 8312 KB Output is correct
74 Correct 111 ms 1912 KB Output is correct
75 Correct 110 ms 1784 KB Output is correct
76 Correct 111 ms 1784 KB Output is correct
77 Correct 111 ms 1784 KB Output is correct
78 Correct 110 ms 1784 KB Output is correct