oj.uz

Submission #965432

# Submission time Handle Problem Language Result Execution time Memory
965432 2024-04-18T14:03:39 Z steveonalex Boat (APIO16_boat) C++17
100 / 100
 876 ms 4856 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define ALL(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
 
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng(1);
ll rngesus(ll l, ll r){return ((ull) rng()) % (r - l + 1) + l;}
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
 
ll LASTBIT(ll mask){return mask & (-mask);}
ll pop_cnt(ll mask){return __builtin_popcountll(mask);}
ll ctz(ll mask){return __builtin_ctzll(mask);}
ll clz(ll mask){return __builtin_clzll(mask);}
ll logOf(ll mask){return 63 - clz(mask);}
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b){a = b; return true;}
        return false;
    }
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b){a = b; return true;}
        return false;
    }
template <class T>
    void printArr(T& a, string separator = " ", string finish = "\n", ostream& out = cout){
        for(auto i: a) out << i << separator;
        out << finish;
    }
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }
 
const long MOD = 1e9 + 7;
ll fast_pow(ll a, ll b){
    ll ans = 1;
    while(b > 0){
        if (b & 1) ans = ans * a % MOD;
        a = a * a % MOD;
        b /= 2;
    }
    return ans;
}
 
ll inverse(ll a){return fast_pow(a, MOD - 2);}
 
const long N = 505;
ll fact[N], ifact[N];
 
void prepare(){
    fact[0] = 1;
    for(long i = 1; i<N; ++i) fact[i] = fact[i-1] * i % MOD;
    ifact[N-1]= inverse(fact[N-1]);
    for(long i = N-1; i>=1; --i) ifact[i-1] = ifact[i] * i % MOD;
}
 
ll C(long n, long k){
    if (k < 0 || k > n) return 0;
    return fact[n] * ifact[k] % MOD * ifact[n - k] % MOD;
}
 
ll eulerCandy(long s, long k){
    return C(s + k - 1, k - 1);
}
 
ll normie(ll a){
    a %= MOD;
    if (a < 0) a += MOD;
    return a;
}
 
void add(int &a, int b){
    a += b;
    if (a >= MOD) a -= MOD;
}
 
void sub(int &a, int b){
    a -= b;
    if (a < 0) a += MOD;
}
 
int dp[N * 2][N], s[N * 2][N];
 
int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
    prepare();
 
    int n; cin >> n;
    vector<pair<int, int>> a(n);
    for(int i= 0; i<n; ++i) cin >> a[i].first >> a[i].second;
 
    vector<int> b;
    for(pair<int, int> i: a){
        b.push_back(i.first - 1);
        b.push_back(i.second);
    }
    remove_dup(b);
 
    vector<pair<int, int>> range;
    range.push_back({0, 0});
    for(int i= 1; i<(int)b.size(); ++i) range.push_back({b[i-1] + 1, b[i]});
 
    a.insert(a.begin(), {0, 0});
 
    dp[0][0] = 1;
    for(int i= 0; i <= n; ++i) s[0][i] = 1;
    for(int i= 0; i<range.size(); ++i) s[i][0] = 1;
 
    for(int layer = 1; layer < (int)range.size(); ++layer){
        int len = range[layer].second - range[layer].first + 1;
        vector<int> fuck(min(n, len) + 1, 1); 
        for(int i = 1; i<(int)fuck.size(); ++i)
            fuck[i] = 1LL * fuck[i-1] * (len - i + 1) % MOD;
        for(int i = 1; i<(int)fuck.size(); ++i) 
            fuck[i] = 1LL * fuck[i] * ifact[i] % MOD;
 
        vector<int> love(n+1);
        love[1] = len;
        for(int i = 2; i<=n; ++i){
            for(int t = 2; t <= min(fuck.size() - 1, i); ++t){
                add(love[i], 1LL * fuck[t] * C(i - 2, t - 2) % MOD);
            }
        }
 
        for(int i = 1; i<=n; ++i){
            if (a[i].first > range[layer].first || range[layer].second > a[i].second) continue;
            int sum = s[layer - 1][i - 1];
            int cnt = 0;
            for(int j = i; j<=n; ++j){
                if (a[j].first > range[layer].first || range[layer].second > a[j].second) continue;
                cnt++;
                add(dp[layer][j], 1LL * sum * love[cnt] % MOD);
            }
        }
        for(int i = 1; i<=n; ++i){
            s[layer][i] = dp[layer][i];
            add(s[layer][i], s[layer-1][i]);
            add(s[layer][i], s[layer][i-1]);
            sub(s[layer][i], s[layer-1][i-1]);
        }
    }
 
    int ans = s[range.size() - 1][n];
    sub(ans, 1);
 
    cout << ans << "\n";
    
 
    return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:120:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  120 |     for(int i= 0; i<range.size(); ++i) s[i][0] = 1;
      |                   ~^~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 389 ms 4320 KB Output is correct
2 Correct 369 ms 4244 KB Output is correct
3 Correct 371 ms 4512 KB Output is correct
4 Correct 374 ms 4180 KB Output is correct
5 Correct 381 ms 4396 KB Output is correct
6 Correct 368 ms 4420 KB Output is correct
7 Correct 373 ms 4408 KB Output is correct
8 Correct 368 ms 4436 KB Output is correct
9 Correct 382 ms 4256 KB Output is correct
10 Correct 368 ms 4228 KB Output is correct
11 Correct 378 ms 4500 KB Output is correct
12 Correct 396 ms 4244 KB Output is correct
13 Correct 370 ms 4296 KB Output is correct
14 Correct 369 ms 4356 KB Output is correct
15 Correct 374 ms 4692 KB Output is correct
16 Correct 65 ms 2696 KB Output is correct
17 Correct 74 ms 2772 KB Output is correct
18 Correct 71 ms 2708 KB Output is correct
19 Correct 71 ms 2716 KB Output is correct
20 Correct 68 ms 2712 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 389 ms 4320 KB Output is correct
2 Correct 369 ms 4244 KB Output is correct
3 Correct 371 ms 4512 KB Output is correct
4 Correct 374 ms 4180 KB Output is correct
5 Correct 381 ms 4396 KB Output is correct
6 Correct 368 ms 4420 KB Output is correct
7 Correct 373 ms 4408 KB Output is correct
8 Correct 368 ms 4436 KB Output is correct
9 Correct 382 ms 4256 KB Output is correct
10 Correct 368 ms 4228 KB Output is correct
11 Correct 378 ms 4500 KB Output is correct
12 Correct 396 ms 4244 KB Output is correct
13 Correct 370 ms 4296 KB Output is correct
14 Correct 369 ms 4356 KB Output is correct
15 Correct 374 ms 4692 KB Output is correct
16 Correct 65 ms 2696 KB Output is correct
17 Correct 74 ms 2772 KB Output is correct
18 Correct 71 ms 2708 KB Output is correct
19 Correct 71 ms 2716 KB Output is correct
20 Correct 68 ms 2712 KB Output is correct
21 Correct 77 ms 4180 KB Output is correct
22 Correct 96 ms 4156 KB Output is correct
23 Correct 73 ms 4128 KB Output is correct
24 Correct 77 ms 4156 KB Output is correct
25 Correct 83 ms 4176 KB Output is correct
26 Correct 131 ms 4100 KB Output is correct
27 Correct 130 ms 4176 KB Output is correct
28 Correct 126 ms 4152 KB Output is correct
29 Correct 127 ms 4180 KB Output is correct
30 Correct 375 ms 4436 KB Output is correct
31 Correct 355 ms 4252 KB Output is correct
32 Correct 357 ms 4436 KB Output is correct
33 Correct 361 ms 4388 KB Output is correct
34 Correct 350 ms 4284 KB Output is correct
35 Correct 365 ms 4608 KB Output is correct
36 Correct 366 ms 4432 KB Output is correct
37 Correct 358 ms 4540 KB Output is correct
38 Correct 350 ms 4444 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2652 KB Output is correct
2 Correct 8 ms 2652 KB Output is correct
3 Correct 8 ms 2784 KB Output is correct
4 Correct 10 ms 2652 KB Output is correct
5 Correct 8 ms 2648 KB Output is correct
6 Correct 9 ms 2648 KB Output is correct
7 Correct 9 ms 2652 KB Output is correct
8 Correct 8 ms 2700 KB Output is correct
9 Correct 8 ms 2652 KB Output is correct
10 Correct 8 ms 2652 KB Output is correct
11 Correct 7 ms 2648 KB Output is correct
12 Correct 8 ms 2652 KB Output is correct
13 Correct 9 ms 2652 KB Output is correct
14 Correct 8 ms 2652 KB Output is correct
15 Correct 7 ms 2704 KB Output is correct
16 Correct 4 ms 2652 KB Output is correct
17 Correct 4 ms 2652 KB Output is correct
18 Correct 4 ms 2652 KB Output is correct
19 Correct 4 ms 2652 KB Output is correct
20 Correct 4 ms 2652 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 389 ms 4320 KB Output is correct
2 Correct 369 ms 4244 KB Output is correct
3 Correct 371 ms 4512 KB Output is correct
4 Correct 374 ms 4180 KB Output is correct
5 Correct 381 ms 4396 KB Output is correct
6 Correct 368 ms 4420 KB Output is correct
7 Correct 373 ms 4408 KB Output is correct
8 Correct 368 ms 4436 KB Output is correct
9 Correct 382 ms 4256 KB Output is correct
10 Correct 368 ms 4228 KB Output is correct
11 Correct 378 ms 4500 KB Output is correct
12 Correct 396 ms 4244 KB Output is correct
13 Correct 370 ms 4296 KB Output is correct
14 Correct 369 ms 4356 KB Output is correct
15 Correct 374 ms 4692 KB Output is correct
16 Correct 65 ms 2696 KB Output is correct
17 Correct 74 ms 2772 KB Output is correct
18 Correct 71 ms 2708 KB Output is correct
19 Correct 71 ms 2716 KB Output is correct
20 Correct 68 ms 2712 KB Output is correct
21 Correct 77 ms 4180 KB Output is correct
22 Correct 96 ms 4156 KB Output is correct
23 Correct 73 ms 4128 KB Output is correct
24 Correct 77 ms 4156 KB Output is correct
25 Correct 83 ms 4176 KB Output is correct
26 Correct 131 ms 4100 KB Output is correct
27 Correct 130 ms 4176 KB Output is correct
28 Correct 126 ms 4152 KB Output is correct
29 Correct 127 ms 4180 KB Output is correct
30 Correct 375 ms 4436 KB Output is correct
31 Correct 355 ms 4252 KB Output is correct
32 Correct 357 ms 4436 KB Output is correct
33 Correct 361 ms 4388 KB Output is correct
34 Correct 350 ms 4284 KB Output is correct
35 Correct 365 ms 4608 KB Output is correct
36 Correct 366 ms 4432 KB Output is correct
37 Correct 358 ms 4540 KB Output is correct
38 Correct 350 ms 4444 KB Output is correct
39 Correct 8 ms 2652 KB Output is correct
40 Correct 8 ms 2652 KB Output is correct
41 Correct 8 ms 2784 KB Output is correct
42 Correct 10 ms 2652 KB Output is correct
43 Correct 8 ms 2648 KB Output is correct
44 Correct 9 ms 2648 KB Output is correct
45 Correct 9 ms 2652 KB Output is correct
46 Correct 8 ms 2700 KB Output is correct
47 Correct 8 ms 2652 KB Output is correct
48 Correct 8 ms 2652 KB Output is correct
49 Correct 7 ms 2648 KB Output is correct
50 Correct 8 ms 2652 KB Output is correct
51 Correct 9 ms 2652 KB Output is correct
52 Correct 8 ms 2652 KB Output is correct
53 Correct 7 ms 2704 KB Output is correct
54 Correct 4 ms 2652 KB Output is correct
55 Correct 4 ms 2652 KB Output is correct
56 Correct 4 ms 2652 KB Output is correct
57 Correct 4 ms 2652 KB Output is correct
58 Correct 4 ms 2652 KB Output is correct
59 Correct 841 ms 4400 KB Output is correct
60 Correct 800 ms 4584 KB Output is correct
61 Correct 795 ms 4688 KB Output is correct
62 Correct 847 ms 4556 KB Output is correct
63 Correct 808 ms 4436 KB Output is correct
64 Correct 872 ms 4432 KB Output is correct
65 Correct 876 ms 4412 KB Output is correct
66 Correct 859 ms 4772 KB Output is correct
67 Correct 864 ms 4524 KB Output is correct
68 Correct 864 ms 4400 KB Output is correct
69 Correct 807 ms 4856 KB Output is correct
70 Correct 815 ms 4472 KB Output is correct
71 Correct 815 ms 4692 KB Output is correct
72 Correct 807 ms 4432 KB Output is correct
73 Correct 800 ms 4432 KB Output is correct
74 Correct 88 ms 2648 KB Output is correct
75 Correct 88 ms 2648 KB Output is correct
76 Correct 88 ms 2652 KB Output is correct
77 Correct 89 ms 2652 KB Output is correct
78 Correct 88 ms 2708 KB Output is correct