#!/usr/bin/python3.8 import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines import numpy as np S = readline().rstrip() N, K = map(int, read().split()) def suffix_array(S): N = len(S) n = 1 key = np.array([ord(x) for x in S]) for _ in range(N.bit_length() + 1): ind = key.argsort() key_sort = key[ind] # 同じ数はまとめる cls = np.ones(N, np.int64) cls[1:] = (key_sort[1:] != key_sort[:-1]) np.cumsum(cls, out=cls) rank = np.empty_like(cls) rank[ind] = cls if n >= N: break n *= 2 key = rank * (cls[-1] + 10) key[:-n // 2] += rank[n // 2:] return ind, rank - 1 def prime_table(N): is_prime = np.zeros(N + 1, np.bool) is_prime[2] = 1 is_prime[3::2] = 1 for p in range(3, N, 2): if p * p >= N: break if is_prime[p]: is_prime[p * p:: p + p] = 0 primes = np.where(is_prime)[0] return is_prime, primes is_prime, primes = prime_table(10 ** 5 + 10) # repeated 対策 def to_standard_form(S, N): for p in primes: if p > len(S): break while True: L = len(S) if L % p != 0: break dx = L // p repeated = True for i in range(1, p): if S[i * dx: i * dx + dx] != S[:dx]: repeated = False break if not repeated: break S = S[:dx] N *= p return S, N S, N = to_standard_form(S, N) if N == 1: SA, ISA = suffix_array(S) print(1 + SA[K - 1]) exit() SA, ISA = suffix_array(S * 2) # 長さを並べる SA = len(S) * 2 - SA LS = len(S) rest = K answer = 0 for x in SA.tolist(): if x <= LS: if rest == 1: answer = x break else: rest -= 1 continue if rest <= N - 1: answer = x + (rest - 1) * LS break else: rest -= (N - 1) continue # 長さを持ったので、インデックスに戻す answer = LS * N + 1 - answer print(answer)