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lightoj-1006-Hex-a-bonacci【思维】

耳一文 2022-09-22 阅读 173


题目链接:​​点击打开链接​​


1006 - Hex-a-bonacci


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Time Limit: 0.5 second(s)

Memory Limit: 32 MB


Given a code (not optimized), and necessary inputs, you have to find the output of the code for the inputs. The code is as follows:

int a, b, c, d, e, f;
int fn( int n ) {
if( n == 0 ) return a;
if( n == 1 ) return b;
if( n == 2 ) return c;
if( n == 3 ) return d;
if( n == 4 ) return e;
if( n == 5 ) return f;
return( fn(n-1) + fn(n-2) + fn(n-3) + fn(n-4) + fn(n-5) + fn(n-6) );
}
int main() {
int n, caseno = 0, cases;
scanf("%d", &cases);
while( cases-- ) {
scanf("%d %d %d %d %d %d %d", &a, &b, &c, &d, &e, &f, &n);
printf("Case %d: %d\n", ++caseno, fn(n) % 10000007);
}
return 0;
}

Input

Input starts with an integer T (≤ 100), denoting the number of test cases.

Each case contains seven integers, a, b, c, d, e, f and n. All integers will be non-negative and 0 ≤ n ≤ 10000 and the each of the others will be fit into a 32-bit integer.

Output

For each case, print the output of the given code. The given code may have integer overflow problem in the compiler, so be careful.

Sample Input

Output for Sample Input

5

0 1 2 3 4 5 20

3 2 1 5 0 1 9

4 12 9 4 5 6 15

9 8 7 6 5 4 3

3 4 3 2 54 5 4

Case 1: 216339

Case 2: 79

Case 3: 16636

Case 4: 6

Case 5: 54





题解:用递归会TLE,而且数据会爆 int 

#include<cstdio>
#include<algorithm>
#include<cstring>
#define LL long long
using namespace std;
const LL Q=10000007;
LL a,b,c,d,e,f,n;
LL s[1000010];
int get()
{
s[0]=a; s[1]=b; s[2]=c;
s[3]=d; s[4]=e; s[5]=f;
for(int i=6;i<=n;i++)
s[i]=(s[i-1]+s[i-2]+s[i-3]+s[i-4]+s[i-5]+s[i-6])%Q;
return s[n];
}
int main()
{
int t,text=0;
scanf("%d",&t);
while(t--)
{
scanf("%lld %lld %lld %lld %lld %lld %lld",&a,&b,&c,&d,&e,&f,&n);
printf("Case %d: %lld\n",++text,get()%Q); // 因为 a,b,c,d,e,f可能会大于 Q
}
return 0;
}

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