题目链接:HDU5167
【题意】判断一个数N(<=10^9)是否能表示为斐波那契数列中的数的乘积。
【分析】比赛的时候搞个离线,结果离线写错了,悲剧呀,改成预处理就好了,直接dfs暴搜我用HASH存出现过的数字。
【AC CODE】218ms
#include <cstdio>
#include <cstring>
#include <cctype>
#include <cmath>
#include <map>
//#include <unordered_map>
#include <queue>
#include <stack>
#include <vector>
#include <string>
#include <algorithm>
using namespace std;
typedef long long LL;
#define rep(i,a,n) for(int i = a; i < n; i++)
#define repe(i,a,n) for(int i = a; i <= n; i++)
#define per(i,n,a) for(int i = n; i >= a; i--)
#define clc(a,b) memset(a,b,sizeof(a))
const int INF = 0x3f3f3f3f, MAXN = 44, MAXM = 1000000000;
const LL MOD = 1000007;
LL fb[100];
int t,mx;
struct HASH{
int head[MOD], next[2371715+10], sum[2371715+10], cnt, node[2371715+10];
void clear(){
cnt = 0;
clc(head,-1);
clc(sum,0);
}
int hash(LL s){
return s%MOD;
}
void insert(LL s){
int id = hash(s);
int u = head[id];
while(~u){
if(s == node[u])
{
sum[u]++;
return;
}
u = next[u];
}
sum[cnt] = 1;
node[cnt] = s;
next[cnt] = head[id];
head[id] = cnt++;
}
int query(LL s){
int id = hash(s);
int u = head[id];
while(~u){
if(node[u] == s) return sum[u];
u = next[u];
}
return -1;
}
}vis;
void dfs(LL num)
{
if(0 <= num && num <= MAXM)
vis.insert(num);
else return;
repe(i,2,MAXN)
{
LL to = num*fb[i];
if(-1 == vis.query(to))
dfs(to);
}
}
int main()
{
#ifdef SHY
freopen("e:\\1.txt", "r", stdin);
//freopen("e:\\out.txt", "w", stdout);
#endif
fb[0] = 0, fb[1] = 1;
repe(i,2,MAXN) fb[i] = fb[i-1]+fb[i-2];
vis.clear();
vis.insert(0);
dfs(1);
scanf("%d%*c", &t);
while(t--)
{
int n;
scanf("%d%*c", &n);
if(~vis.query(n)) puts("Yes");
else puts("No");
}
return 0;
}
/*
7
4
17
233
34
7
0
34
=====
Yes
No
Yes
Yes
No
Yes
Yes
*/