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hey everyone welcome back and letamp;#39;s write some more neat code today so today letamp;#39;s all find the duplicate number and you can see that iamp;#39;m not really a big fan of this problem and maybe iamp;#39;m just salty but i really feel like this type of problem is the ultimate test of whether youamp;#39;ve seen the problem or not but iamp;#39;m still solving it nonetheless because itamp;#39;s an interesting problem and it does show up in interviews quite a lot it seems i really donamp;#39;t know how anyone would be able to solve this problem in a 30 minute interview without having seen even the person who came up with the algorithm floyd i i doubt even he could solve this in 30 minutes in an interview setting but thatamp;#39;s okay letamp;#39;s just learn the problem today so weamp;#39;re given an integer array of nums containing n plus one integers this is the length of the array but every single value in the array is going to be within the range one through n so