The Frog ' s games
Time limit:2000/1000 MS (java/others) Memory limit:65768/65768 K (java/others)
Total submission (s): 5676 Accepted Submission (s): 2732
Problem DescriptionThe Annual games in frogs ' kingdom started again. The most famous game is the Ironfrog Triathlon. One test in the Ironfrog Triathlon is jumping. This project requires the frog athletes-to-jump. The width of the river is L (1<= l <= 1000000000). There is n (0<= n <= 500000) stones lined up on a straight line from one side to the other side of the river. The frogs can only jump through the river, but they can land on the stones. If they fall into the river, they
is out. The frogs is asked to jump at a most m (1<= m <= n+1) times. Now the frogs want to know if they want to jump across the river, at least what ability should they has. (That's the frog ' s longest jump distance).
Inputthe input contains several cases. The first line of all case contains three positive integer L, N, and M.
then n lines follow. Each of the stands for the distance from the starting banks to the Nth stone, and both stone appear in one place is impossible.
Outputfor each case, output an integer standing for the frog ' s ability at least they should has.
Sample INPUT6 1 2225 3 311 218
Sample Output411
Source the 36th ACM/ICPC Asia regional Dalian site--online Contest
#include <cstdio>#include<iostream>#include<algorithm>using namespacestd;Const intinf=0x3f3f3f3f ;intd[550000]; intL;intCalcintx) { intnow=0; intCnt=0; intps=0; while(now<L) { now+=x; while(Now >=d[ps+1]) ps++; now=D[ps]; CNT++; } returnCNT;} intMain () {intN, M; while(SCANF ("%d%d%d", &l, &n, &m)! =EOF) { intMinx =0 ; for(intI=1; i<= N; i++) scanf ("%d", &D[i]); Sort (d+1, d+1+N); d[0]=0; d[n+1]=L; D[n+2]=INF; for(intI=1; i<= n+1; i++) if(Minx <d[i]-d[i-1]) Minx= d[i]-d[i-1]; intleft= Minx, right=L; intRes; while(Left <=Right ) { intMid= (left+right) >>1; if(Calc (mid) <=m) {res=mid; Right= mid-1; } Elseleft= mid+1; } printf ("%d\n", RES); } return 0;}
Hdoj 4004 The Frog ' s games (two minutes)