此题来自osu HD群群友！！！
把时间拨到饭点，打东边来的蓝猫当了一天帕鲁，收获了100条鱼，打西边来的黑猫当了一天超级帕鲁，收获了300条鱼，已知鱼在下一天午夜过后准时腐坏，两只猫猫的饭量是每天100条鱼
黑猫想要欺负蓝猫，说咱们玩一个游戏，你每次可以拿出自己一半的鱼（向上取整）作为赌注，我每次拿出跟你相同数目的鱼，你赢了全归你，你输了全归我，由于你的胜率p大于1/2，你也不想明天还要当帕鲁的事情被别人知道对不对
蓝猫心想，我要是赢了超过100条鱼，那黑猫今天这么努力明天却还要当帕鲁，好可怜，所以我刚好有200条鱼的时候就收手，这样鱼也没有浪费明天我们也都可以休息！当然就算一方输光日子也过的下去，玩就要玩的尽兴，让我们开始吧
求蓝猫和黑猫赢的概率
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