Number Sequence KMP演算法模板題
題目:
Given two sequences of numbers : a[1], a[2], ...... , a[N], and b[1], b[2], ...... , b[M] (1 <= M <= 10000, 1 <= N <= 1000000). Your task is to find a number K which make a[K] = b[1], a[K + 1] = b[2], ...... , a[K + M - 1] = b[M]. If there are more than one K exist, output the smallest one.
輸入:
The first line of input is a number T which indicate the number of cases. Each case contains three lines. The first line is two numbers N and M (1 <= M <= 10000, 1 <= N <= 1000000). The second line contains N integers which indicate a[1], a[2], ...... , a[N]. The third line contains M integers which indicate b[1], b[2], ...... , b[M]. All integers are in the range of [-1000000, 1000000].
輸出:
For each test case, you should output one line which only contain K described above. If no such K exists, output -1 instead.
樣例輸入:
2
13 5
1 2 1 2 3 1 2 3 1 3 2 1 2
1 2 3 1 3
13 5
1 2 1 2 3 1 2 3 1 3 2 1 2
1 2 3 2 1
樣例輸出:
6
-1
輸入兩個陣列,從第一個數組裡找到一個K位置,使得滿足題目中的要求。
AC程式碼:
#include <iostream> #include <cstdio> #include <cstring> #include <cmath> #include <algorithm> using namespace std; const int maxn=1000005; const int maxx=10005; int a[maxn],b[maxx],net[maxx];//不能用next作為陣列名,next是個關鍵字 int n,m; void getnet() { net[0]=-1; int k=-1; int j=0; while(j<m) { if(k==-1||b[j]==b[k]) { ++j; ++k; if(b[j]!=b[k])//陣列優化 net[j]=k; else net[j]=net[k]; } else { k=net[k]; } } } int Kmpserch() { getnet(); int i=0; int j=0; while(i<n&&j<m) { if(j==-1||a[i]==b[j]) { i++; j++; } else { j=net[j]; } } if(j==m) return i-j+1;//之所以要加1的原因是第一個a[K]要等於b[1],如果等於b[0],就不用加1了 else return -1; } int main() { int t; scanf("%d",&t); while(t--) { scanf("%d%d",&n,&m); for(int i=0;i<n;i++) scanf("%d",&a[i]); for(int i=0;i<m;i++) scanf("%d",&b[i]); if(Kmpserch()==-1) printf("-1\n"); else printf("%d\n",Kmpserch()); } return 0; }