Title Description
You have a necklace (3<=n<=350) made of N red, white, or blue beads, which are arranged randomly. Here are two examples of n=29:
The first and second beads have been marked in the picture.
The necklace in picture A can be represented by the following string:
Brbrrrbbbrrrrrbrrbbrbbbbrrrrb
If you want to break the necklace at some point, expand into a straight line, and then start collecting the same color beads from one end until you meet a different color bead and do the same thing at the other end (the colors may be different from those collected before). Determine where the necklace should be broken to collect the maximum number of beads.
For example, in the necklace in picture A, the break necklace between bead 9 and bead 10 or bead 24 and bead 25 can collect 8 beads.
What does the white bead mean?
Also included in some necklaces are white beads (piece B) shown.
When collecting beads, a white bead that is encountered can be seen as red or blue.
The string containing the Gaultheria necklace will consist of three symbols R, B and W.
Write a program to determine the maximum number of beads that can be collected from a given necklace.
Input/output format
Input format:
Line 1th: N, number of beads
Line 2nd: A string of length n, each character is R, B, or W.
Output format:
Input and Output Sample input example # #:
Wwwbbrwrbrbrrbrbrwrwwrbwrwrrb
Sample # # of output:
11
Description
The title translation comes from Nocow.
Usaco Training Section 1.1
----------------------------------
Search is too boring, and began to use DP to die, linear complexity can be;
Just make sure it's not all the same
F: Starting from I d: to I end
0: Red 1: Blue
Find a cutoff point for R and B, from which you can start a pleasant scan update.
Because it's a loop, I've got a loop tag, and I'm looping it anyway.
[PS]: Looks like someone else's time to search and I almost, N is too small, alas
////main.cpp//usaco1.1////Created by ABC on 16/8/14.//copyright©2016 Year ABC. All rights reserved.//#include<iostream>#include<cstdio>#include<cmath>using namespacestd;Const intn= -;intn,ans=1;CharC[n];intf[n][2],d[n][2],only=0;//Only 0--->all same//0 Red 1 BlueInlineintNxtinti) { return(i+1)%N;} InlineintLstinti) { return(I-1+n)%N;}voidinit () { for(intI=0; i<n;i++)if(c[i]=='R') only=1; if(only==0)return; for(intI=0; i<n;i++)if(c[i]=='b') only=1; if(only==0)return; intst=0; for(intI=1; i<n;i++)if(ABS (c[i]-c[i-1])== -) {st=i-1; Break;} BOOLloop=0; for(inti=st;loop==0|| I!=st;i=lst (i)) {//printf ("For1%d\n", i);loop=1; if(c[i]=='R') f[i][0]=F[NXT (i) [0]+1, f[i][1]=0; if(c[i]=='b') f[i][1]=F[NXT (i) [1]+1, f[i][0]=0; if(c[i]=='W') f[i][0]=F[NXT (i) [0]+1, f[i][1]=F[NXT (i) [1]+1; } St++;loop=0; for(inti=st;loop==0|| I!=ST;I=NXT (i)) {//printf ("For2%d\n", i);loop=1; if(c[i]=='R') d[i][0]=d[lst (i) [0]+1, d[i][1]=0; if(c[i]=='b') d[i][1]=d[lst (i) [1]+1, d[i][0]=0; if(c[i]=='W') d[i][0]=d[lst (i) [0]+1, d[i][1]=d[lst (i) [1]+1; } }intMainintargcConst Char*argv[]) {scanf ("%d",&N); for(intI=0; i<n;i++) cin>>C[i]; Init (); if(only==0) ans=N; Else for(intI=0; i<n;i++){ intT=max (f[i][0]+d[lst (i) [1],f[i][1]+d[lst (i) [0]); Ans=Max (ans,t); } cout<<ans; }
Usaco1.1broken NECKLACE[DP as Death]