oj.uz

Submission #637077

# Submission time Handle Problem Language Result Execution time Memory
637077 2022-08-31T12:27:34 Z IWTIM Boat (APIO16_boat) C++17
36 / 100
 2000 ms 6328 KB 
# include <bits/stdc++.h>
using namespace std;
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python! 
 
// pairs
using pii = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;
#define mp make_pair
#define f first
#define s second
 
#define tcT template<class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT> using V = vector<T>; 
tcT, size_t SZ> using AR = array<T,SZ>; 
using vi = V<int>;
using vb = V<bool>;
using vl = V<ll>;
using vd = V<db>;
using vs = V<str>;
using vpi = V<pii>;
using vpl = V<pl>;
using vpd = V<pd>;
 
// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend() 
#define sor(x) sort(all(x)) 
#define rsz resize
#define ins insert 
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk back()
 
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define rep(a) F0R(_,a)
#define each(a,x) for (auto& a: x)
const int MOD = 998244353;
const int MX = 2e5+5;
const ll BIG = 1e18; // not too close to LLONG_MAX
const db PI = acos((db)-1);
const int dx[4]{1,0,-1,0}, dy[4]{0,1,0,-1}; // for every grid problem!!
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count()); 
template<class T> using pqg = priority_queue<T,vector<T>,greater<T>>;
struct DSU {
	vi e; void init(int N) { e = vi(N,-1); }
	int get(int x) { return e[x] < 0 ? x : e[x] = get(e[x]); } 
	bool sameSet(int a, int b) { return get(a) == get(b); }
	int size(int x) { return -e[get(x)]; }
	bool unite(int x, int y) { // union by size
		x = get(x), y = get(y); if (x == y) return 0;
		if (e[x] > e[y]) swap(x,y);
		e[x] += e[y]; e[y] = x; return 1;
	}
};
/*
inline namespace Helpers {
	//////////// is_iterable
	// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
	// this gets used only when we can call begin() and end() on that type
	tcT, class = void> struct is_iterable : false_type {};
	tcT> struct is_iterable<T, void_t<decltype(begin(declval<T>())),
	                                  decltype(end(declval<T>()))
	                                 >
	                       > : true_type {};
	tcT> constexpr bool is_iterable_v = is_iterable<T>::value;
 
	//////////// is_readable
	tcT, class = void> struct is_readable : false_type {};
	tcT> struct is_readable<T,
	        typename std::enable_if_t<
	            is_same_v<decltype(cin >> declval<T&>()), istream&>
	        >
	    > : true_type {};
	tcT> constexpr bool is_readable_v = is_readable<T>::value;
 
	//////////// is_printable
	// // https://nafe.es/posts/2020-02-29-is-printable/
	tcT, class = void> struct is_printable : false_type {};
	tcT> struct is_printable<T,
	        typename std::enable_if_t<
	            is_same_v<decltype(cout << declval<T>()), ostream&>
	        >
	    > : true_type {};
	tcT> constexpr bool is_printable_v = is_printable<T>::value;
}*/
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python! 
 
// pairs
using pii = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;
#define mp make_pair
#define f first
#define s second
 
#define tcT template<class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT> using V = vector<T>; 
tcT, size_t SZ> using AR = array<T,SZ>; 
using vi = V<int>;
using vb = V<bool>;
using vl = V<ll>;
using vd = V<db>;
using vs = V<str>;
using vpi = V<pii>;
using vpl = V<pl>;
using vpd = V<pd>;
 
// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend() 
#define sor(x) sort(all(x)) 
#define rsz resize
#define ins insert 
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk back()
 
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define rep(a) F0R(_,a)
#define each(a,x) for (auto& a: x)
template<class T> using pqg = priority_queue<T,vector<T>,greater<T>>;
 
/*
inline namespace Helpers {
	//////////// is_iterable
	// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
	// this gets used only when we can call begin() and end() on that type
	tcT, class = void> struct is_iterable : false_type {};
	tcT> struct is_iterable<T, void_t<decltype(begin(declval<T>())),
	                                  decltype(end(declval<T>()))
	                                 >
	                       > : true_type {};
	tcT> constexpr bool is_iterable_v = is_iterable<T>::value;
 
	//////////// is_readable
	tcT, class = void> struct is_readable : false_type {};
	tcT> struct is_readable<T,
	        typename std::enable_if_t<
	            is_same_v<decltype(cin >> declval<T&>()), istream&>
	        >
	    > : true_type {};
	tcT> constexpr bool is_readable_v = is_readable<T>::value;
 
	//////////// is_printable
	// // https://nafe.es/posts/2020-02-29-is-printable/
	tcT, class = void> struct is_printable : false_type {};
	tcT> struct is_printable<T,
	        typename std::enable_if_t<
	            is_same_v<decltype(cout << declval<T>()), ostream&>
	        >
	    > : true_type {};
	tcT> constexpr bool is_printable_v = is_printable<T>::value;
}*/
#define int long long
const int N = 1005, mod = 1e9 + 7;
int t,n,a[N],b[N],pr[N][N],dp[N][N],inv[N],fq[N];
vector <int> v;
int f_p(int base, int power) {
	int result = 1;
	while (power > 0) {
		if (power % 2) result = (result * base) % mod;
		base = (base * base) % mod;
		power /= 2;
	}
	return result;
}
int C(int n, int k) {
	if (n < k) return 0;
	if (n == 0 && k == 0) return 1;
	int pas = 1;
	for (int i = n; i >= n - k + 1; i--){
		pas *= i;
		pas %= mod;
	} 
	pas *= inv[k];pas %= mod;
	return pas;
}
int check(int le, int ri, int a, int b) {
	return (max(a,le) <= min(b,ri));
}
main() {
    ios_base::sync_with_stdio(false),
	cin.tie(NULL),cout.tie(NULL);
    cin>>n;
    for (int i = 1; i <= n; i++) {
    	cin>>a[i]>>b[i];
    	v.pb(a[i]);
    	v.pb(b[i] + 1);
	}
	fq[0] = 1; inv[0] = 1;
	for (int i = 1; i < N; i++) {
		fq[i] = fq[i - 1] * i % mod;
	}
	inv[N - 1] = f_p(fq[N - 1], mod - 2);
	for (int i = N - 2; i >= 1; i--) {
		inv[i] = (inv[i + 1] * (i + 1)) % mod;
	}
	sort(v.begin(), v.end());
	v.resize(unique(v.begin(), v.end())-v.begin());
	
	vector <pii> seg;
	seg.pb({-1,-1});
	for (int i = 1; i < v.size(); i++) {
		seg.pb({v[i - 1], v[i] - 1});
	}
	dp[0][0] = 1;
	pr[0][0] = 1; 
	int ans = 0;
	for (int i = 1; i < seg.size(); i++) pr[0][i] = 1;//, cout<<seg[i].f<<" "<<seg[i].s<<endl;
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j < seg.size(); j++) {
			int le = seg[j].f; int ri = seg[j].s;
			if (check(le,ri,a[i],b[i])) { 
				int cnt = 1;
				for (int prless = i - 1; prless >= 0; prless--) {
				    for (int cn = 1; cn <= cnt; cn++) {
				        //if ( i == 5 && j == 4) cout<<prless<<" --- > "<<pr[prless][j - 1] * C(ri - le + 1, cn) % mod<<endl;
					    dp[i][j] += (pr[prless][j - 1] * C(ri - le + 1, cn) % mod)* C(cnt-1,cn-1) % mod, dp[i][j] %= mod;
				    }
					if ((check(le,ri,a[prless],b[prless]))) cnt++;
				}
			}
			//if (dp[i][j]) cout<<i<<" "<<j<<" "<<dp[i][j]<<endl;
			ans += dp[i][j]; ans %= mod;
			pr[i][j] = (dp[i][j] + pr[i][j - 1]); pr[i][j] %= mod;
		}
	}
	cout<<ans<<"\n";
}

Compilation message

boat.cpp:208:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  208 | main() {
      | ^~~~
boat.cpp: In function 'int main()':
boat.cpp:230:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int, std::allocator<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  230 |  for (int i = 1; i < v.size(); i++) {
      |                  ~~^~~~~~~~~~
boat.cpp:236:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<int, int>, std::allocator<std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  236 |  for (int i = 1; i < seg.size(); i++) pr[0][i] = 1;//, cout<<seg[i].f<<" "<<seg[i].s<<endl;
      |                  ~~^~~~~~~~~~~~
boat.cpp:238:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<int, int>, std::allocator<std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  238 |   for (int j = 1; j < seg.size(); j++) {
      |                   ~~^~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 6228 KB Output is correct
2 Correct 9 ms 6228 KB Output is correct
3 Correct 9 ms 6228 KB Output is correct
4 Correct 11 ms 6236 KB Output is correct
5 Correct 9 ms 6228 KB Output is correct
6 Correct 9 ms 6288 KB Output is correct
7 Correct 7 ms 6228 KB Output is correct
8 Correct 8 ms 6228 KB Output is correct
9 Correct 9 ms 6228 KB Output is correct
10 Correct 11 ms 6228 KB Output is correct
11 Correct 9 ms 6228 KB Output is correct
12 Correct 11 ms 6228 KB Output is correct
13 Correct 8 ms 6228 KB Output is correct
14 Correct 9 ms 6228 KB Output is correct
15 Correct 8 ms 6328 KB Output is correct
16 Correct 9 ms 5076 KB Output is correct
17 Correct 9 ms 5104 KB Output is correct
18 Correct 9 ms 5076 KB Output is correct
19 Correct 10 ms 5092 KB Output is correct
20 Correct 10 ms 5092 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 6228 KB Output is correct
2 Correct 9 ms 6228 KB Output is correct
3 Correct 9 ms 6228 KB Output is correct
4 Correct 11 ms 6236 KB Output is correct
5 Correct 9 ms 6228 KB Output is correct
6 Correct 9 ms 6288 KB Output is correct
7 Correct 7 ms 6228 KB Output is correct
8 Correct 8 ms 6228 KB Output is correct
9 Correct 9 ms 6228 KB Output is correct
10 Correct 11 ms 6228 KB Output is correct
11 Correct 9 ms 6228 KB Output is correct
12 Correct 11 ms 6228 KB Output is correct
13 Correct 8 ms 6228 KB Output is correct
14 Correct 9 ms 6228 KB Output is correct
15 Correct 8 ms 6328 KB Output is correct
16 Correct 9 ms 5076 KB Output is correct
17 Correct 9 ms 5104 KB Output is correct
18 Correct 9 ms 5076 KB Output is correct
19 Correct 10 ms 5092 KB Output is correct
20 Correct 10 ms 5092 KB Output is correct
21 Execution timed out 2082 ms 2156 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 386 ms 1452 KB Output is correct
2 Correct 217 ms 1324 KB Output is correct
3 Correct 327 ms 1356 KB Output is correct
4 Correct 399 ms 1432 KB Output is correct
5 Correct 485 ms 1356 KB Output is correct
6 Correct 1883 ms 1428 KB Output is correct
7 Correct 1875 ms 1492 KB Output is correct
8 Correct 1876 ms 1584 KB Output is correct
9 Correct 1923 ms 1672 KB Output is correct
10 Correct 1903 ms 1444 KB Output is correct
11 Correct 463 ms 1300 KB Output is correct
12 Correct 230 ms 1356 KB Output is correct
13 Correct 300 ms 1320 KB Output is correct
14 Correct 307 ms 1344 KB Output is correct
15 Correct 454 ms 1388 KB Output is correct
16 Correct 229 ms 1228 KB Output is correct
17 Correct 163 ms 1344 KB Output is correct
18 Correct 204 ms 1216 KB Output is correct
19 Correct 164 ms 1264 KB Output is correct
20 Correct 267 ms 1352 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 6228 KB Output is correct
2 Correct 9 ms 6228 KB Output is correct
3 Correct 9 ms 6228 KB Output is correct
4 Correct 11 ms 6236 KB Output is correct
5 Correct 9 ms 6228 KB Output is correct
6 Correct 9 ms 6288 KB Output is correct
7 Correct 7 ms 6228 KB Output is correct
8 Correct 8 ms 6228 KB Output is correct
9 Correct 9 ms 6228 KB Output is correct
10 Correct 11 ms 6228 KB Output is correct
11 Correct 9 ms 6228 KB Output is correct
12 Correct 11 ms 6228 KB Output is correct
13 Correct 8 ms 6228 KB Output is correct
14 Correct 9 ms 6228 KB Output is correct
15 Correct 8 ms 6328 KB Output is correct
16 Correct 9 ms 5076 KB Output is correct
17 Correct 9 ms 5104 KB Output is correct
18 Correct 9 ms 5076 KB Output is correct
19 Correct 10 ms 5092 KB Output is correct
20 Correct 10 ms 5092 KB Output is correct
21 Execution timed out 2082 ms 2156 KB Time limit exceeded
22 Halted 0 ms 0 KB -