n=int(input())
g=[0]*(n+1)
for i in range(1,n+1):
    g[i] = i%3
    
f = [0]*(n)

while True:
    gs = 0 
    x = []
    t = 0
    for i in range(n):
        if f[i] == 0:
            t += 1
        elif f[i] == 1:
            if t > 0:
                x.append(t)
                gs^=t
            x.append(0)
            t = 0
        
        if i == n-1 and t > 0:
            x.append(t)
            gs^=t
            
    cnt=0
    for i in x:
        if i == 0:
            cnt+=1
            continue
        ff = 0
        for k in range(1,i+1):
            ts=gs
            l,r = k-1,i-k
            ts^=i
            ts^=l
            ts^=r
            cnt += 1
            if ts == 0:
                ff = 1
                break
        if ff:
            break
            
        
    if ff == 1:
        print(1,cnt,flush=True)
        f[cnt-1] = 1 
        print(f)
        v=int(input())
        if v == 0:
            exit()
        xx,yy=map(int,input().split())
        if xx == 0:
            exit()
        if xx == 1:
            f[yy-1] = 1
        else:
            f[yy-1] = 1
            f[yy] = 1
 
        continue
        
    cnt=0
    for i in x:
        if i <= 1:
            cnt+=1
            continue
        ff = 0
        for k in range(1,i):
            ts=gs
            l,r = k-1,i-(k+1)
            ts^=i
            ts^=l
            ts^=r
            cnt += 1
            if ts == 0:
                ff = 1
                break
        if ff:
            break
        
    
        
    if ff == 1:
        print(2,cnt,flush=True)
        f[cnt-1] = 1
        f[cnt] = 1
        v=int(input())
        if v == 0:
            exit()
        print(v,'v')
        xx,yy=map(int,input().split())

        if xx == 1:
            f[yy-1] = 1
        else:
            f[yy-1] = 1
            f[yy] = 1

        continue
        
    cnt=0
    for i in x:
        if i == 0:
            cnt+=i
            continue
        if i>0:
            f[cnt] = 1
            print(1,cnt,flush=True)
            v=int(input())
            if v == 0:
                exit()
            xx,yy=map(int,input().split())
            if xx == 1:
                f[yy-1] = 1
            else:
                f[yy-1] = 1
                f[yy] = 1
            break