/* | |
>>~~ UVa Online Judge ACM Problem Solution ~~<< | |
ID: 10003 | |
Name: Cutting Sticks | |
Problem: https://onlinejudge.org/external/100/10003.pdf | |
Language: C++ | |
Author: Arash Shakery | |
Email: arash.shakery@gmail.com | |
*/ | |
using namespace std; | |
short int c[55],DP[55][55]; | |
int main(){ | |
int ll; | |
register int l,i,e,k,n,m; | |
while(scanf("%d",&ll)==1 && ll){ | |
scanf("%d",&n); | |
for(i=1;i<=n;i++) | |
scanf("%d",c+i); | |
c[n+1]=ll; | |
for(l=2; l<=n+1; l++) | |
for(i=0; i<=n+1-l; i++){ | |
e=i+l; | |
short int &m=DP[i][e]=32767; | |
for(k=i+1; k<e; k++) | |
m=min(m,(short)(DP[i][k]+DP[k][e]+c[e]-c[i])); | |
} | |
printf("The minimum cutting is %d.\n",DP[0][n+1]); | |
} | |
} |