Operation the Sequence(HDU 5063)
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Operation the Sequence
Time Limit: 3000/1500 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 440 Accepted Submission(s): 181
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];
}
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 integern(0<n≤100000) ,m(0<m≤100000) .
Then m lines follow, each line represent an operator above.
The first line of each test case contains two integer
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
13 5O 1O 2Q 1O 3Q 1
Sample Output
24
Source
BestCoder Round #13
题意:
给你一些操作和一些询问,每次询问都要你给出相应结果。
分析:
如果按照一个一个操作后询问时在给出答案肯定会超时,所以可以换种思维:每次询问时我再往回操作找到解(我称作懒人思维==)。由于询问次数只有50,故时间复杂度为O(50*m);故应该不会超时。
#include<stdio.h>#define N 100010#define mod 1000000007int n, notes[N], a[N];//找出最初的位置int solve(int oper, int position){ for(int i=oper-1; i>=1; i--) { if(notes[i] == 1) { if(position <= (n+1)/2) position = 2*position-1; else position = 2*position-n-n%2; } else position = n-position+1; } return position;}int main(){ int T, m, position; //询问的位置 char s[1]; scanf("%d", &T); while(T--) { scanf("%d%d", &n,&m); int oper = 1, times = 0; while(m--) { scanf("%s%d", s,&position); if(s[0] == 'O') //记录操作 { if(position == 3) times++; else notes[oper++] = position; } else { __int64 ans = solve(oper, position); for(int i=1; i<=times; i++) ans = ans*ans%mod; printf("%I64d\n", ans); } } } return 0;}
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