HDU 5063 Operation the Sequence(暴力 数学)
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题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5063
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
PS:
把所有的操作存下来,每次把操作逆回去算一遍,求出在最初在数列中的位置,输出即可!
操作3是可以最后操作的!
代码如下:
#include <cstdio>#include <cstring>const int maxn = 100017;const int mod = 1000000007;typedef __int64 LL;int a[maxn], b[maxn];int n, m;int find_pos(int l, int p){ for(int i = l; i > 0; i--) { if(b[i] == 1) { if (p > (n + 1) / 2) p = (p - (n + 1) / 2) * 2; else p = (p - 1) * 2 + 1; } else p = n-p+1; } return p;}int main(){ int t; char s[2]; int p; scanf("%d",&t); while(t--) { scanf("%d%d",&n,&m); int k = 0, l = 0; for(int i = 1; i <= m; i++) { scanf("%s%d",s,&p); if(s[0] == 'O') { if(p == 3) k++; else b[++l] = p; } else { LL ans = find_pos(l,p); for(int i = 1; i <= k; i++) { ans = ans*ans%mod; } printf("%I64d\n",ans); } } } return 0;}
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