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Submission #9464

# Submission time Handle Problem Language Result Execution time Memory
9464 2014-09-28T06:37:18 Z myungwoo Phibonacci (kriii2_P) C++14
1 / 4
 0 ms 1088 KB 
#include <stdio.h>

typedef long long lld;

const int MOD = 1e9 + 7;

lld N, K;

struct MAT{
	int m[2][2];
	MAT operator * (const MAT &ot)const{
		MAT ret={0, };
		int i, j, k;
		for (i=0;i<2;i++) for (j=0;j<2;j++) for (k=0;k<2;k++)
			ret.m[i][j] = (ret.m[i][j]+(lld)m[i][k]*ot.m[k][j]%MOD)%MOD;
		return ret;
	}
} P[40];

struct TERM{
	TERM(lld p, lld q){
		a = p%MOD, b = q%MOD;
	}
	int a, b;
	TERM operator * (const TERM &ot)const{
		return TERM(((lld)a*ot.a%MOD+(lld)a*ot.b%MOD)%MOD+(lld)b*ot.a%MOD, ((lld)a*ot.a%MOD+(lld)b*ot.b%MOD)%MOD);
	}
};

int fibo(lld n)
{
	MAT t ={1, 0, 0, 1};
	if (n < 0) return 1;
	for (int i=0;i<40;i++) if ((n>>i)&1) t = t*P[i];
	return t.m[0][1];
}

TERM pow(TERM a, lld b)
{
	TERM v = a, ret(0,1);
	for (;b;b>>=1, v=v*v) if (b&1) ret = ret*v;
	return ret;
}

int pow(int a, lld b)
{
	int v = a, ret = 1;
	for (;b;b>>=1,v=(lld)v*v%MOD) if (b&1) ret = (lld)ret*v%MOD;
	return ret;
}

int main()
{
	int i;
	MAT t ={1, 1, 1, 0};
	P[0] = t;
	for (i=1;i<40;i++) P[i] = P[i-1]*P[i-1];
	scanf("%lld%lld", &N, &K);
	TERM p(fibo(N), fibo(N-1));
	TERM q = pow(p, K);
	int x = (lld)q.a*pow(fibo(K), MOD-2)%MOD;
	int y = (q.b-(lld)x*fibo(K-1)%MOD+MOD)%MOD;
	printf("%d %d\n", x, y);
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 1088 KB Output is correct
2 Correct 0 ms 1088 KB Output is correct
3 Correct 0 ms 1088 KB Output is correct
4 Correct 0 ms 1088 KB Output is correct
5 Correct 0 ms 1088 KB Output is correct
6 Correct 0 ms 1088 KB Output is correct
7 Correct 0 ms 1088 KB Output is correct
8 Correct 0 ms 1088 KB Output is correct
9 Correct 0 ms 1088 KB Output is correct
10 Correct 0 ms 1088 KB Output is correct
11 Correct 0 ms 1088 KB Output is correct
12 Correct 0 ms 1088 KB Output is correct
13 Correct 0 ms 1088 KB Output is correct
14 Correct 0 ms 1088 KB Output is correct
15 Correct 0 ms 1088 KB Output is correct
16 Correct 0 ms 1088 KB Output is correct
17 Correct 0 ms 1088 KB Output is correct
18 Correct 0 ms 1088 KB Output is correct
19 Correct 0 ms 1088 KB Output is correct
20 Correct 0 ms 1088 KB Output is correct

Subtask #2
0.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 1088 KB Output is correct
2 Correct 0 ms 1088 KB Output is correct
3 Correct 0 ms 1088 KB Output is correct
4 Correct 0 ms 1088 KB Output is correct
5 Correct 0 ms 1088 KB Output is correct
6 Correct 0 ms 1088 KB Output is correct
7 Correct 0 ms 1088 KB Output is correct
8 Correct 0 ms 1088 KB Output is correct
9 Correct 0 ms 1088 KB Output is correct
10 Correct 0 ms 1088 KB Output is correct
11 Correct 0 ms 1088 KB Output is correct
12 Correct 0 ms 1088 KB Output is correct
13 Correct 0 ms 1088 KB Output is correct
14 Correct 0 ms 1088 KB Output is correct
15 Correct 0 ms 1088 KB Output is correct
16 Correct 0 ms 1088 KB Output is correct
17 Correct 0 ms 1088 KB Output is correct
18 Correct 0 ms 1088 KB Output is correct
19 Incorrect 0 ms 1088 KB Output isn't correct
20 Halted 0 ms 0 KB -