Operation the Sequence
Time Limit: 3000/1500 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 158 Accepted Submission(s): 74 Problem Description
You have an array consisting of n integers: a1=1,a2=2,a3=3,…,an=n. Then give you m operators, you should process all the operators in order. Each operator is one of four types: Type1: O 1 call fun1(); Type2: O 2 call fun2(); Type3: O 3 call fun3(); Type4: Q i query current value of a[i], this operator will have at most 50. Global Variables: a[1…n],b[1…n]; fun1() { index=1; for(i=1; i<=n; i +=2) b[index++]=a[i]; for(i=2; i<=n; i +=2) b[index++]=a[i]; for(i=1; i<=n; ++i) a[i]=b[i]; } fun2() { L = 1;R = n; while(L<R) { Swap(a[L], a[R]); ++L;--R; } } fun3() { for(i=1; i<=n; ++i) a[i]=a[i]*a[i]; }
Input
The first line in the input file is an integer T(1≤T≤20), indicating the number of test cases. The first line of each test case contains two integer n(0<n≤100000), m(0<m≤100000). Then m lines follow, each line represent an operator above.
Output
For each test case, output the query values, the values may be so large, you just output the values mod 1000000007(1e9+7).
Sample Input
1 3 5 O 1 O 2 Q 1 O 3 Q 1
Sample Output
2 4
官方题解
注意到查询次数不超过50次。那么能够从查询位置逆回去操作,就能够发现它在最初序列的位置,再逆回去就可以
求得当前查询的值。对于一组数据复杂度约为O(50*n)。
ps:记两个操作数组a和c,数组a存的是奇偶排序的上一个元素的位置,数组c存的是逆置操作的上一个元素的位置,这样就能够逆回去操作了。
代码:
//218ms#include#include #include #include using namespace std;const int maxn=100000+1000;int a[maxn];//奇偶排序操作int q[maxn];//存储操作类型,1是奇偶排序。2是逆置int c[maxn];//逆置const int mod=1000000007;int solve(int cur,int x)//找到在刚開始的位置{ int ans=x; for(int i=cur-1;i>=0;i--) { if(q[i]==1) { ans=a[ans]; } else { ans=c[ans]; } } return ans;}int main(){ int t,n,m; scanf("%d",&t); while(t--) { scanf("%d%d",&n,&m); int index=1; for(int i=1; i<=n; i +=2) a[index++]=i; for(int i=2; i<=n; i +=2) a[index++]=i; for(int i=1;i<=n;i++) c[i]=n+1-i; char s[10]; int p; int cur=0; int cou=0; for(int i=0;i