HDU 5878 I Count Two Three 2016青岛网赛
2016-09-17 19:25
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I Count Two Three Time Limit: 3000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 69 Accepted Submission(s): 44 Problem Description I will show you the most popular board game in the Shanghai Ingress Resistance Team. It all started several months ago. We found out the home address of the enlightened agent Icount2three and decided to draw him out. Millions of missiles were detonated, but some of them failed. After the event, 4000 we analysed the laws of failed attacks. It's interesting that the i-th attacks failed if and only if i can be rewritten as the form of 2a3b5c7d which a,b,c,d are non-negative integers. At recent dinner parties, we call the integers with the form 2a3b5c7d "I Count Two Three Numbers". A related board game with a given positive integer n from one agent, asks all participants the smallest "I Count Two Three Number" no smaller than n. Input The first line of input contains an integer t (1≤t≤500000), the number of test cases. t test cases follow. Each test case provides one integer n (1≤n≤109). Output For each test case, output one line with only one integer corresponding to the shortest "I Count Two Three Number" no smaller than n. Sample Input 10 1 11 13 123 1234 12345 123456 1234567 12345678 123456789 Sample Output 1 12 14 125 1250 12348 123480 1234800 12348000 123480000
刚看这题 感觉似曾相识….被队友一提醒 不就是HDU的Humble Numbers么
http://acm.split.hdu.edu.cn/showproblem.php?pid=1058
d[i]表示第i个丑数
a0=a1=a2=a3=0
显然d[1]=1;
d[i]=min(d[a0]*2,d[a1]*3,d[a2]*5,d[a3]*7)
if(d[i]==d[a0]*2)
++a0;
……
if(d[i]==d[a3]*7)
++a3;
打个表就可以了
#include<iostream> #include<stdlib.h> #include<stdio.h> #include<string> #include<vector> #include<deque> #include<queue> #include<algorithm> #include<set> #include<map> #include<stack> #include<time.h> #include<math.h> #include<list> #include<cstring> #include<fstream> #include<bitset> //#include<memory.h> using namespace std; #define ll long long #define ull unsigned long long #define pii pair<int,int> #define INF 1000000007 int a[4]; vector<ll>vec; int main() { //freopen("/home/lu/文档/r.txt","r",stdin); //freopen("/home/lu/文档/w.txt","w",stdout); vec.push_back(1); const int N=1e9; while(vec.back()<N){ ll t=vec[a[0]]*2; t=min(t,vec[a[1]]*3); t=min(t,vec[a[2]]*5); t=min(t,vec[a[3]]*7); if(t==vec[a[0]]*2) ++a[0]; if(t==vec[a[1]]*3) ++a[1]; if(t==vec[a[2]]*5) ++a[2]; if(t==vec[a[3]]*7) ++a[3]; vec.push_back(t); } int t,n; scanf("%d",&t); for(int i=0;i<t;++i){ scanf("%d",&n); vector<ll>::iterator it=lower_bound(vec.begin(),vec.end(),n); printf("%d\n",(int)*it); } return 0; }
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