#include <bits/stdc++.h>
                            #include<iostream>
                            #include<cstdio>
                            #include<vector>
                            #include<queue>
                            #include<map>
                            #include<cstring>
                            #include<string>
                            #include <math.h>
                            #include<algorithm>
                        //    #include <boost/multiprecision/cpp_int.hpp>
                            #include<functional>
                     #define int long long
                            #define inf  1000000007
                            #define pa pair<int,int>
                            #define ll long long
                            #define pal pair<double,int>
                            #define ppa pair<int,pa>
                            #define ssa pair<string,int>
                            #define  mp make_pair
                            #define  pb push_back
                            #define EPS (1e-10)
                            #define equals(a,b) (fabs((a)-(b))<EPS)
                     
                            using namespace std;
                     //priority_queue<int, vector<int>, greater<int> > que;
                            class Point{
                            	public:
                            	double x,y;
                            	Point(double x=0,double y=0):x(x),y(y) {}
                            	Point operator + (Point p) {return Point(x+p.x,y+p.y);}
                            	Point operator - (Point p) {return Point(x-p.x,y-p.y);}
                            	Point operator * (double a) {return Point(x*a,y*a);}
                            	Point operator / (double a) {return Point(x/a,y/a);}
                            	double absv() {return sqrt(norm());}
                            	double norm() {return x*x+y*y;}
                            	bool operator < (const Point &p) const{
                            		return x != p.x ? x<p.x: y<p.y;
                            	}
                            	bool operator == (const Point &p) const{
                            		return fabs(x-p.x)<EPS && fabs(y-p.y)<EPS;
                            	}
                            };
                            typedef Point Vector;
                     
                            struct Segment{
                            Point p1,p2;
                            };
                     
                        double hen(Vector a){
                        if(fabs(a.x)<EPS && a.y>0) return acos(0);
                        else if(fabs(a.x)<EPS && a.y<0) return 3*acos(0);
                        else if(fabs(a.y)<EPS && a.x<0) return 2*acos(0);
                        else if(fabs(a.y)<EPS && a.x>0) return 0.0;
                        else if(a.y>0) return acos(a.x/a.absv());
                        else return 2*acos(0)+acos(-a.x/a.absv());
                     
                        }
                     
                string itos( int i ) {
                ostringstream s ;
                s << i ;
                return s.str() ;
                }
                 
                int gcd(int v,int b){
                	if(v>b) return gcd(b,v);
                	if(v==b) return b;
                	if(b%v==0) return v;
                	return gcd(v,b%v);
                }
                            double dot(Vector a,Vector b){
                            	return a.x*b.x+a.y*b.y;
                            }
                            double cross(Vector a,Vector b){
                            	return a.x*b.y-a.y*b.x;
                            }
                        
                double distans(double x1,double y1,double x2,double y2){
                	double rr=(x1-x2)*(x1-x2)+(y1-y2)*(y1-y2);
                	return sqrt(rr);
                	
                }
    int a[100020],b[100020];
                            //----------------kokomade tenpure------------
string s,t;
void no(){
	cout<<"NO"<<endl;
	return;
}
 signed  main(){
int n,d=0,sum=0;
 	cin>>n;
 	for(int i=1;i<=n;i++){
 		cin>>a[i];
 		sum += a[i];
 	}
 	a[n+1]=a[1];
 	int r=n*(n+1)/2;
 	
 	if(sum % r !=0){
 		no();
 		return 0;
 	}
 	d=sum/r;
 //	cout<<d<<endl;
 	for(int i=2;i<=n+1;i++){
 		int y=-a[i]+a[i-1];
 //		cout<<y<<endl;
 		if(((y+d)%n)!=0){
 			no();
 			return 0;
 		}
 		
 		if(y+d<0){
 			no();
 			return 0;
 		}
 		b[i]=(y+d)/n;
 		
 	//	cout<<y<<" "<<i<<" "<<b[i]<<endl;
 		
 	}
 	int e=0;
 	for(int i=2;i<=n+1;i++) e += b[i];
 	if(e!=d) no();
 	else cout<<"YES"<<endl;
 	
                  //  	printf("%.10f\n",ans[n-1]);
                    	return 0;
}

Measured memory_bytes: 1792