Codeforces Round 573 (Div. 2)
D
Tokitsukaze, CSL and Stone Game
Codeforces
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原题
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翻译中…

Tokitsukaze and CSL are playing a little game of stones.

翻译中…

In the beginning, there are $n$ piles of stones, the $i$-th pile of which has $a_i$ stones. The two players take turns making moves. Tokitsukaze moves first. On each turn the player chooses a nonempty pile and removes exactly one stone from the pile. A player loses if all of the piles are empty before his turn, or if after removing the stone, two piles (possibly empty) contain the same number of stones. Supposing that both players play optimally, who will win the game?

翻译中…

Consider an example: $n=3$ and sizes of piles are $a_1=2$, $a_2=3$, $a_3=0$. It is impossible to choose the empty pile, so Tokitsukaze has two choices: the first and the second piles. If she chooses the first pile then the state will be $[1, 3, 0]$ and it is a good move. But if she chooses the second pile then the state will be $[2, 2, 0]$ and she immediately loses. So the only good move for her is to choose the first pile.

翻译中…

Supposing that both players always take their best moves and never make mistakes, who will win the game?

翻译中…

Note that even if there are two piles with the same number of stones at the beginning, Tokitsukaze may still be able to make a valid first move. It is only necessary that there are no two piles with the same number of stones after she moves.

翻译中…

Input

翻译中…

The first line contains a single integer $n$ ($1 \le n \le 10^5$) — the number of piles.

翻译中…

The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($0 \le a_1, a_2, \ldots, a_n \le 10^9$), which mean the $i$-th pile has $a_i$ stones.

翻译中…

Output

翻译中…

Print "sjfnb" (without quotes) if Tokitsukaze will win, or "cslnb" (without quotes) if CSL will win. Note the output characters are case-sensitive.

翻译中…

Note

翻译中…

In the first example, Tokitsukaze cannot take any stone, so CSL will win.

翻译中…

In the second example, Tokitsukaze can only take a stone from the first pile, and then, even though they have no stone, these two piles will have the same number of stones, which implies CSL will win.

翻译中…

In the third example, Tokitsukaze will win. Here is one of the optimal ways:

翻译中…
  • Firstly, Tokitsukaze can choose the first pile and take a stone from that pile.
  • Then, CSL can only choose the first pile, because if he chooses the second pile, he will lose immediately.
  • Finally, Tokitsukaze can choose the second pile, and then CSL will have no choice but to lose.
翻译中…

In the fourth example, they only have one good choice at any time, so Tokitsukaze can make the game lasting as long as possible and finally win.

翻译中…

样例

Input #1
1
0
Output #1
cslnb
InputCopy OutputCopy
Input #2
2
1 0
Output #2
cslnb
InputCopy OutputCopy
Input #3
2
2 2
Output #3
sjfnb
InputCopy OutputCopy
Input #4
3
2 3 1
Output #4
sjfnb
InputCopy OutputCopy
题目信息
题号
1191D
时间限制
1 s
内存限制
256 MB

题面与样例版权归 Codeforces 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。