oj.uz

Submission #4869

# Submission time Handle Problem Language Result Execution time Memory
4869 2014-01-05T21:28:15 Z tncks0121 Energetic turtle (IZhO11_turtle) C++
70 / 100
 128 ms 7420 KB 
#define _CRT_SECURE_NO_WARNINGS

#include <stdio.h> 
#include <stdlib.h> 
#include <string.h> 
#include <memory.h> 
#include <math.h> 
#include <assert.h> 
#include <stack> 
#include <queue> 
#include <map> 
#include <set> 
#include <algorithm> 
#include <string> 
#include <functional> 
#include <vector> 
#include <deque> 
#include <utility> 
#include <bitset> 
#include <limits.h>  
#include <time.h>

using namespace std; 
typedef long long ll; 
typedef unsigned long long llu; 
typedef double lf;
typedef unsigned int uint;
typedef long double llf;
typedef pair<int, int> pii;

const int SZ = 300005, K_ = 30;
int N, M, K, T, Z;

vector<int> primes;
bool sieve[SZ+SZ];

void getPrimes (int MX) {
	for(int p = 2; p <= MX; p++) {
		if(sieve[p]) continue;
		primes.push_back(p);
		for(int x = p+p; x <= MX; x += p) sieve[x] = true;
	}
}

ll power (ll a, ll b) {
	ll ret = 1;
	while(b > 0) {
		if(b & 1) ret = (ret * a) % Z;
		a = (a * a) % Z;
		b >>= 1;
	}
	return ret;
}

int nCr (int n, int r) {
	if(r == 0 || n == r) return 1;
	if(r == 1 || r == n-1) return n;

	ll ret = 1;
	for(int x = 0; x < primes.size(); x++) {
		int p = primes[x];
		if(p > n) break;
		ll v = 0;
		for(ll w = p; w <= n; w *= p) v += n / w;
		for(ll w = p; w <= r; w *= p) v -= r / w;
		for(ll w = p; w <= n-r; w *= p) v -= (n-r) / w;
		ret *= power(p, v);
		ret %= Z;
	}
	return ret % Z;
}

int ways (int x, int y) { // (x+y) C x
	return nCr (x+y, x);
}

struct point {
	int x, y;
	point(int x = 0, int y = 0): x(x), y(y) { }
	bool operator< (const point &p) const { return x != p.x ? x < p.x : y < p.y; }
} D[K_];

int F[K_], R[K_];
int W[K_][K_];

int Table[1<<20];
char LB[1<<20], CB[1<<20];
int Sum[K_];

ll res;

int main() {
	int i, j, k;

	scanf("%d%d%d%d%d", &N, &M, &K, &T, &Z);
	for(i = 0; i < K; i++) scanf("%d%d", &D[i].x, &D[i].y);
	
	if(K == 0) return 0 & printf("%d\n", ways(N, M));

	getPrimes(N+M);
	sort(D, D+K);

	for(i = 0; i < K; i++) {
		F[i] = ways(D[i].x, D[i].y);
		R[i] = ways(N - D[i].x, M - D[i].y);
		for(j = i+1; j < K; j++) {
			if(D[j].y >= D[i].y) W[i][j] = ways(D[j].x - D[i].x, D[j].y - D[i].y);
		}
	}

	Table[0] = 1;
	for(i = 0; i < K; i++) {
		Table[1<<i] = F[i];
		LB[1<<i] = i;
		CB[1<<i] = 1;
		for(int prev = 1; prev < (1<<i); prev++) {
			int now = prev | (1<<i);
			Table[now] = ((ll)Table[prev] * W[LB[prev]][i]) % Z;
			LB[now] = i;
			CB[now] = CB[prev] + 1;
		}
	}

	Table[0] = Sum[0] = ways(N, M);
	for(i = 1; i < (1<<K); i++) {
		int &sm = Sum[CB[i]];
		sm += ((ll)Table[i] * R[LB[i]]) % Z;
		if(sm >= Z) sm -= Z;
	}

	for(k = 0; k <= T; k++) {
		int s = 1;
		for(i = k; i <= K; i++) {
			res += s * (((ll)Sum[i] * nCr(i, k)) % Z);
			if(res < 0) res += (-res / Z) * Z;
			res %= Z;
			s = -s;
		}
	}

	printf("%lld\n", res);

	return 0;
}

Compilation message

turtle.cpp: In function 'int nCr(int, int)':
turtle.cpp:60:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int x = 0; x < primes.size(); x++) {
                 ~~^~~~~~~~~~~~~~~
turtle.cpp: In function 'int main()':
turtle.cpp:118:46: warning: array subscript has type 'char' [-Wchar-subscripts]
    Table[now] = ((ll)Table[prev] * W[LB[prev]][i]) % Z;
                                              ^
turtle.cpp:126:22: warning: array subscript has type 'char' [-Wchar-subscripts]
   int &sm = Sum[CB[i]];
                      ^
turtle.cpp:127:32: warning: array subscript has type 'char' [-Wchar-subscripts]
   sm += ((ll)Table[i] * R[LB[i]]) % Z;
                                ^
turtle.cpp:95:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d%d%d%d", &N, &M, &K, &T, &Z);
  ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
turtle.cpp:96:30: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for(i = 0; i < K; i++) scanf("%d%d", &D[i].x, &D[i].y);
                         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
70.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 408 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Incorrect 3 ms 476 KB Output isn't correct
5 Correct 36 ms 6492 KB Output is correct
6 Incorrect 3 ms 376 KB Output isn't correct
7 Correct 5 ms 760 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 15 ms 1912 KB Output is correct
10 Correct 24 ms 3492 KB Output is correct
11 Incorrect 32 ms 1144 KB Output isn't correct
12 Correct 91 ms 4348 KB Output is correct
13 Incorrect 38 ms 1272 KB Output isn't correct
14 Incorrect 44 ms 1528 KB Output isn't correct
15 Correct 76 ms 6876 KB Output is correct
16 Correct 109 ms 7388 KB Output is correct
17 Correct 75 ms 2756 KB Output is correct
18 Incorrect 128 ms 7384 KB Output isn't correct
19 Correct 122 ms 7340 KB Output is correct
20 Correct 106 ms 7420 KB Output is correct