Farmer John has just given the cows a program to play with! The program contains two integer variables, *x* and *y*, and performs the following operations on a sequence *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub> of positive integers:
 1.  Initially, *x* = 1 and *y* = 0. If, after any step, *x* ≤ 0 or *x* &gt; *n*, the program immediately terminates. 1.  The program increases both *x* and *y* by a value equal to *a*<sub class="lower-index">*x*</sub> simultaneously. 1.  The program now increases *y* by *a*<sub class="lower-index">*x*</sub> while decreasing *x* by *a*<sub class="lower-index">*x*</sub>. 1.  The program executes steps 2 and 3 (first step 2, then step 3) repeatedly until it terminates (it may never terminate). So, the sequence of executed steps may start with: step 2, step 3, step 2, step 3, step 2 and so on. 
The cows are not very good at arithmetic though, and they want to see how the program works. Please help them!

You are given the sequence *a*<sub class="lower-index">2</sub>, *a*<sub class="lower-index">3</sub>, ..., *a*<sub class="lower-index">*n*</sub>. Suppose for each *i* (1 ≤ *i* ≤ *n* - 1) we run the program on the sequence *i*, *a*<sub class="lower-index">2</sub>, *a*<sub class="lower-index">3</sub>, ..., *a*<sub class="lower-index">*n*</sub>. For each such run output the final value of *y* if the program terminates or -1 if it does not terminate.
The first line contains a single integer, *n* (2 ≤ *n* ≤ 2·10<sup class="upper-index">5</sup>). The next line contains *n* - 1 space separated integers, *a*<sub class="lower-index">2</sub>, *a*<sub class="lower-index">3</sub>, ..., *a*<sub class="lower-index">*n*</sub> (1 ≤ *a*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">9</sup>).
n=int(input())
a=[0,0]
a.extend(list(map(int,input().split())))
for i in range(1,n):
    a[1]=i
    x=1
    y=0
    ans=i
    while x>0 and x<=n:
        y+=a[x]
        x+=a[x]
        if x<=0 or x>n:
            print(ans)
            break
        elif y>n:
            print(-1)
            break
        ans+=a[x]
        x-=a[x]
        if x<=0 or x>n:
            print(ans)
            break
        elif y>n:
            print(-1)
            break
        ans += a[x]
        y += a[x]
 	  	 	  	 			   		 	 	 	 		 	