POJ 3087 Shuffle ' m up (simulated question)

Shuffle ' m up

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 6143		Accepted: 2880

Description

A common pastime for poker players at a poker table was to shuffle stacks of chips. Shuffling chips is performed by starting with the stacks of poker chips, S1 and S2, each stack containin G C chips. Each of the stacks may contain chips of several different colors.

The actual shuffle operation is performed by interleaving a chip from S1 with a chip from S2 as shown being Low for C = 5:

The single resultant stack, S12, contains 2 * C chips. The bottommost chip of S12 is the bottommost chip from S2. On top of this chip, is the bottommost chip from S1. The interleaving process continues taking the 2ndchip from the bottom of S2 and placing in S12, followed by the 2nd chip from the bottom of S1 and so on until the topmost chip from S1 are placed O n Top of S12.

After the shuffle operation, S12 are split into 2 new stacks by taking the bottommost C chips from S1 2 to form a new S1 and the topmost C chips from S12 to form a new S2. The shuffle operation is repeated to form a new S12.

For the problem, you'll write a program to determine if a particular resultant stack S12 can be formed by sh Uffling stacks some number of times.

Input

The first line of input contains a single integer N, (1≤ N ≤1000) which is the number of datasets that follow.

Each dataset consists of four lines of input. The first line of a datasets specifies an integerC, (1≤C≤100) which is the number of chips in each initial stack (S1andS2). The second line of each dataset specifies the colors of theCChips in StackS1, starting with the bottommost chip. The third line of each dataset specifies the colors of theCChips in StackS2Starting with the bottommost chip. Colors is expressed as a single uppercase letter (AThroughH). There is no blanks or separators between the chip colors. The fourth line of each dataset contains 2 *CUppercase Letters (AThroughH), representing the colors of the desired result of the shuffling ofS1andS2zero or more times. The bottommost chip ' s color is specified first.

Output

Output for each dataset consists of a displays the dataset number (1 though N), a space, and an The integer value which is the minimum number of shuffle operations required to get the desired resultant stack. If the desired result can is reached using the input for the dataset, display the value negative 1 (? 1) for T He number of shuffle operations.

Sample Input

24ahahhahahhaaaahh3cdecdeeeddcc

Sample Output

1 22-1

Source

Greater New York 2006

Test instructionsGiven the initial two stacks of S1,S2 and a final state S12, it is necessary to ask whether the final state can be reached. Note: It's s2 down there, S1.

CODE:

#include <iostream> #include <cstdio> #include <cstring> #include <cmath> #include <string > #include <algorithm> #include <cstdlib> #include <set> #include <queue> #include <stack > #include <vector> #include <map> #define N 100010#define Mod 10000007#define Lson l,mid,idx<<1#  Define Rson mid+1,r,idx<<1|1#define LC idx<<1#define RC Idx<<1|1const Double EPS = 1e-11;const double PI = ACOs ( -1.0); const double E = 2.718281828;typedef long long ll;const int INF = 1000010;using namespace Std;char s1[111    ],ss1[111],s2[111],ss2[111],s12[222],s22[222];int c;void Build () {for (int i=0; i<c; i++) s1[i]=s12[i]; for (int i=0,j=c; i<c; j++,i++) s2[i]=s12[j];}        void Build_2 () {for (int i=0,j=0; j<c; i+=2,j++) {s12[i]=s2[j];    S12[I+1]=S1[J];    }}int finds () {int step=0;        while (1) {build_2 ();        step++;        if (strcmp (S12,S22) ==0) return step; Build();    if (strcmp (S1,SS1) ==0&&strcmp (s2,ss2) ==0) return-1; } return-1;}    int main () {int T;        while (~SCANF ("%d", &t)) {int ca=1;            while (t--) {scanf ("%d", &c);            scanf ("%s%s%s", S1,S2,S12);            strcpy (SS1,S1);            strcpy (SS2,S2);            strcpy (S22,S12);        printf ("%d%d\n", ca++,finds ()); }} return 0;}

POJ 3087 Shuffle ' m up (simulated question)