Analysis: Considering a simulation of a given ring sequence, we can obviously get a congruence equation by the position, number, etc.
In one lap we get the n congruence equation for each equation with extended Euclidean solution, and finally find the smallest feasible solution is the answer.
Of course, don't forget to judge the situation without solution. There are a lot of players seem to be a look at the mark and then write the hang, this is very regrettable, but this problem is quite easy to write hanging ...
Note: The time of the Chinese residual definite understanding mode linear equation Group
There are two cases 1: one is the modulus is two coprime, such a problem can be used LRJ Petition template, commonly known as CRT1
2: Modulus exists coprime, such need to use the practice of merging equations, commonly known as CRT2
CRT2 can be found in this god Ben's blog (I'm looking at this, indicating a posture rise) http://972169909-qq-com.iteye.com/blog/1266328
CRT1 self-referencing LRJ petition
AC Code:
#include <stdio.h>#include<iostream>#include<algorithm>#include<string.h>using namespaceStd;typedefLong LongLL;Const intn= +;intN,c[n];BOOLVis[n]; LL A[n],m[n]; ll EXGCD (ll A, ll B, LL&x, LL &y) { if(b = =0) {x=1, y =0; returnA; } LL D=EXGCD (b,a%b,y,x); Y-=a/b*x; returnD;} ll CRT2 (ll a[], LL m[],intnum) { BOOLFlag =false; LL N1= m[1], N2, B1 = a[1], B2, BB, D, T, K, x, y; for(inti =2; I <= num; i++) {n2= M[i], b2 =A[i]; BB= B2-B1; D=EXGCD (N1, N2, X, y); if(bb%d) {flag=true; Break; } k= bb/d *x; T= n2/D; if(T <0) T =-T; K= (k% t + t)%T; B1= B1 + n1*K; N1= n1/d *N2; } if(flag)return-1; if(B1 = =0) B1=N1; returnB1;}intMain () {intT; scanf ("%d",&T); while(t--) {scanf ("%d",&N); for(intI=1; i<=n; ++i) {intx; scanf ("%d",&x); C[X]=i; } memset (Vis,0,sizeof(VIS)); intnow=1; for(intI=1; i<=n; ++i) {intCnt=0; for(intJ=now; j<=n+1; ++j) {if(j==n+1) j=1; if(Vis[j])Continue; ++CNT; if(J==c[i]) Break; } M[i]= (n-i+1); A[i]=cnt%M[i]; Vis[c[i]]=1; if(i==n) Break; for(intJ=c[i]; j<=n+1; ++j) {if(j==n+1) j=1; if(Vis[j])Continue; now=J; Break; }} LL ans=CRT2 (a,m,n); if(ans==-1) printf ("Creation August is a sb!\n"); Elseprintf"%i64d\n", ans); } return 0;}
View Code
HDU5668 Circle non-coprime Chinese remainder theorem