oj.uz

Submission #557315

# Submission time Handle Problem Language Result Execution time Memory
557315 2022-05-05T06:42:26 Z kwongweng Boat (APIO16_boat) C++17
100 / 100
 1861 ms 3260 KB 
/*
Solution for APIO 2016 - Boat
Tags : 
*/
 
#include <bits/stdc++.h>
using namespace std;
 
#pragma GCC target ("avx2")
#pragma GCC optimization ("Ofast")
#pragma GCC optimization ("unroll-loops")
 
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> ii;
typedef vector<ii> vii;
typedef long double ld;
typedef pair<ll, ll> pll;
#define FOR(i, a, b) for(int i = a; i < b; i++)
#define ROF(i, a, b) for(int i = a; i >= b; i--)
#define ms memset
#define pb push_back
#define fi first
#define se second
 
ll MOD = 1000000007;
 
ll power(ll base, ll n){
	if (n == 0) return 1;
	if (n == 1) return base;
	ll halfn = power(base, n/2);
	if (n % 2 == 0) return (halfn * halfn) % MOD;
	return (((halfn * halfn) % MOD) * base) % MOD;
}
 
vector<ll> inv(501,-1);
ll inverse(ll n){
    if (inv[n] != -1) return inv[n];
	return inv[n] = power(n, MOD-2);
}
 
ll add(ll a, ll b){
	return (a+b) % MOD;
}
 
ll mul(ll a, ll b){
	a %= MOD;
	return (a*b) % MOD;
}
 
ll gcd(ll a, ll b){
    if (a == 1) return 1;
    if (a == 0) return b;
    return gcd(b%a, a);
}
 
vector<ll> cnt[1000];
// cnt[i][j] = # solution for first ith school with last student sent is in ith compartment from left, and there are j students in the compartment
 
void solve(){
    int n; cin >> n;
    vector<ll> a(n), b(n); FOR(i,0,n) cin >> a[i] >> b[i];
    vector<pair<ll,int>> pos;
    FOR(i,0,n){
        b[i]++;
        pos.pb({a[i], i});
        pos.pb({b[i], i});
    }
    sort(pos.begin(), pos.end());
    vi l(n,-1), r(n,-1);
    FOR(i,0,2*n){
        int j = pos[i].se;
        if (l[j] == -1) l[j] = i;
        else r[j] = i;
    }
    FOR(i,0,2*n-1){
        cnt[i].pb(0);
    }
    FOR(i,0,n){
        ll total = 1;
        FOR(j,0,l[i]){
            for (ll val2 : cnt[j]){
                total += val2;
                total %= MOD;
            }
        }
        //compartment from l[i] to r[i]
        vector<ll> val(i+2);
        FOR(j,0,r[i]-l[i]){
            val[0] = 0;
            ll interval = pos[j+l[i]+1].fi - pos[j+l[i]].fi;
            val[1] = mul(interval,total);
            for (ll val2 : cnt[j+l[i]]){
                total += val2;
                total %= MOD;
            }
            FOR(k,2,i+2){
                ll new_val = 0;
                if (cnt[j+l[i]].size()>=k) new_val = cnt[j+l[i]][k-1];
                if (new_val == 0){
                    val[k] = 0;
                    continue;
                }
                ll binom = mul(interval - k + 1, inverse(k)) ; // 
                new_val = mul(new_val, binom);
                val[k] = new_val;
            }
            FOR(k,1,i+2){
                if (k>=cnt[j+l[i]].size()){
                    if (val[k] == 0) break;
                    cnt[j+l[i]].pb(val[k]);
                    continue;
                } 
                cnt[j+l[i]][k] = (cnt[j+l[i]][k] + val[k]) % MOD;
            }
        }
    }
    ll ans = 0;
    FOR(i,0,2*n-1){
        for (ll val2 : cnt[i]){
            ans = add(ans, val2);
        }
    }
    cout << ans;
}
 
int main() {
    ios::sync_with_stdio(false);
    if (fopen("input.txt", "r")) {
		freopen("input.txt", "r", stdin);
		freopen("output.txt", "w", stdout);
	}
    int TC = 1;
    //cin >> TC;
    FOR(i, 1, TC+1){
        //cout << "Case #" << i << ": ";
        solve();
    }
}

Compilation message

boat.cpp:10: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
   10 | #pragma GCC optimization ("Ofast")
      | 
boat.cpp:11: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
   11 | #pragma GCC optimization ("unroll-loops")
      | 
boat.cpp: In function 'void solve()':
boat.cpp:99:39: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   99 |                 if (cnt[j+l[i]].size()>=k) new_val = cnt[j+l[i]][k-1];
      |                     ~~~~~~~~~~~~~~~~~~^~~
boat.cpp:109:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  109 |                 if (k>=cnt[j+l[i]].size()){
      |                     ~^~~~~~~~~~~~~~~~~~~~
boat.cpp: In function 'int main()':
boat.cpp:130:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  130 |   freopen("input.txt", "r", stdin);
      |   ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
boat.cpp:131:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  131 |   freopen("output.txt", "w", stdout);
      |   ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 3 ms 340 KB Output is correct
10 Correct 2 ms 340 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 3 ms 340 KB Output is correct
13 Correct 3 ms 340 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 3 ms 340 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 4 ms 340 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 3 ms 340 KB Output is correct
10 Correct 2 ms 340 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 3 ms 340 KB Output is correct
13 Correct 3 ms 340 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 3 ms 340 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 4 ms 340 KB Output is correct
21 Correct 72 ms 488 KB Output is correct
22 Correct 72 ms 500 KB Output is correct
23 Correct 66 ms 496 KB Output is correct
24 Correct 95 ms 508 KB Output is correct
25 Correct 72 ms 496 KB Output is correct
26 Correct 87 ms 468 KB Output is correct
27 Correct 86 ms 472 KB Output is correct
28 Correct 113 ms 596 KB Output is correct
29 Correct 87 ms 484 KB Output is correct
30 Correct 4 ms 484 KB Output is correct
31 Correct 4 ms 476 KB Output is correct
32 Correct 4 ms 468 KB Output is correct
33 Correct 4 ms 468 KB Output is correct
34 Correct 4 ms 464 KB Output is correct
35 Correct 3 ms 356 KB Output is correct
36 Correct 4 ms 340 KB Output is correct
37 Correct 4 ms 468 KB Output is correct
38 Correct 3 ms 360 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 468 KB Output is correct
2 Correct 5 ms 340 KB Output is correct
3 Correct 6 ms 468 KB Output is correct
4 Correct 7 ms 464 KB Output is correct
5 Correct 7 ms 476 KB Output is correct
6 Correct 14 ms 404 KB Output is correct
7 Correct 14 ms 480 KB Output is correct
8 Correct 14 ms 468 KB Output is correct
9 Correct 15 ms 488 KB Output is correct
10 Correct 14 ms 444 KB Output is correct
11 Correct 7 ms 468 KB Output is correct
12 Correct 5 ms 340 KB Output is correct
13 Correct 8 ms 340 KB Output is correct
14 Correct 7 ms 444 KB Output is correct
15 Correct 8 ms 448 KB Output is correct
16 Correct 4 ms 340 KB Output is correct
17 Correct 4 ms 412 KB Output is correct
18 Correct 3 ms 340 KB Output is correct
19 Correct 4 ms 340 KB Output is correct
20 Correct 4 ms 340 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 3 ms 340 KB Output is correct
10 Correct 2 ms 340 KB Output is correct
11 Correct 2 ms 340 KB Output is correct
12 Correct 3 ms 340 KB Output is correct
13 Correct 3 ms 340 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 3 ms 340 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 4 ms 340 KB Output is correct
21 Correct 72 ms 488 KB Output is correct
22 Correct 72 ms 500 KB Output is correct
23 Correct 66 ms 496 KB Output is correct
24 Correct 95 ms 508 KB Output is correct
25 Correct 72 ms 496 KB Output is correct
26 Correct 87 ms 468 KB Output is correct
27 Correct 86 ms 472 KB Output is correct
28 Correct 113 ms 596 KB Output is correct
29 Correct 87 ms 484 KB Output is correct
30 Correct 4 ms 484 KB Output is correct
31 Correct 4 ms 476 KB Output is correct
32 Correct 4 ms 468 KB Output is correct
33 Correct 4 ms 468 KB Output is correct
34 Correct 4 ms 464 KB Output is correct
35 Correct 3 ms 356 KB Output is correct
36 Correct 4 ms 340 KB Output is correct
37 Correct 4 ms 468 KB Output is correct
38 Correct 3 ms 360 KB Output is correct
39 Correct 7 ms 468 KB Output is correct
40 Correct 5 ms 340 KB Output is correct
41 Correct 6 ms 468 KB Output is correct
42 Correct 7 ms 464 KB Output is correct
43 Correct 7 ms 476 KB Output is correct
44 Correct 14 ms 404 KB Output is correct
45 Correct 14 ms 480 KB Output is correct
46 Correct 14 ms 468 KB Output is correct
47 Correct 15 ms 488 KB Output is correct
48 Correct 14 ms 444 KB Output is correct
49 Correct 7 ms 468 KB Output is correct
50 Correct 5 ms 340 KB Output is correct
51 Correct 8 ms 340 KB Output is correct
52 Correct 7 ms 444 KB Output is correct
53 Correct 8 ms 448 KB Output is correct
54 Correct 4 ms 340 KB Output is correct
55 Correct 4 ms 412 KB Output is correct
56 Correct 3 ms 340 KB Output is correct
57 Correct 4 ms 340 KB Output is correct
58 Correct 4 ms 340 KB Output is correct
59 Correct 775 ms 2412 KB Output is correct
60 Correct 700 ms 2396 KB Output is correct
61 Correct 664 ms 2264 KB Output is correct
62 Correct 780 ms 2824 KB Output is correct
63 Correct 721 ms 2236 KB Output is correct
64 Correct 1772 ms 3200 KB Output is correct
65 Correct 1813 ms 3076 KB Output is correct
66 Correct 1810 ms 3244 KB Output is correct
67 Correct 1861 ms 3260 KB Output is correct
68 Correct 1852 ms 3132 KB Output is correct
69 Correct 749 ms 2188 KB Output is correct
70 Correct 782 ms 2308 KB Output is correct
71 Correct 774 ms 2164 KB Output is correct
72 Correct 781 ms 2132 KB Output is correct
73 Correct 814 ms 2228 KB Output is correct
74 Correct 125 ms 672 KB Output is correct
75 Correct 116 ms 668 KB Output is correct
76 Correct 121 ms 644 KB Output is correct
77 Correct 115 ms 640 KB Output is correct
78 Correct 121 ms 740 KB Output is correct