poj1995 Raising Modulo Numbers
2016-07-03 15:27
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Description People are different. Some secretly read magazines full of
interesting girls’ pictures, others create an A-bomb in their cellar,
others like using Windows, and some like difficult mathematical games.
Latest marketing research shows, that this market segment was so far
underestimated and that there is lack of such games. This kind of game
was thus included into the KOKODáKH. The rules follow:
Each player chooses two numbers Ai and Bi and writes them on a slip of
paper. Others cannot see the numbers. In a given moment all players
show their numbers to the others. The goal is to determine the sum of
all expressions AiBi from all players including oneself and determine
the remainder after division by a given number M. The winner is the
one who first determines the correct result. According to the players’
experience it is possible to increase the difficulty by choosing
higher numbers.
You should write a program that calculates the result and is able to
find out who won the game.
Input The input consists of Z assignments. The number of them is given
by the single positive integer Z appearing on the first line of input.
Then the assignements follow. Each assignement begins with line
containing an integer M (1 <= M <= 45000). The sum will be divided by
this number. Next line contains number of players H (1 <= H <= 45000).
Next exactly H lines follow. On each line, there are exactly two
numbers Ai and Bi separated by space. Both numbers cannot be equal
zero at the same time.
Output For each assingnement there is the only one line of output. On
this line, there is a number, the result of expression
(A1B1+A2B2+ … +AHBH)mod M.
快速幂模板题。
其实连数组都不用开。
interesting girls’ pictures, others create an A-bomb in their cellar,
others like using Windows, and some like difficult mathematical games.
Latest marketing research shows, that this market segment was so far
underestimated and that there is lack of such games. This kind of game
was thus included into the KOKODáKH. The rules follow:
Each player chooses two numbers Ai and Bi and writes them on a slip of
paper. Others cannot see the numbers. In a given moment all players
show their numbers to the others. The goal is to determine the sum of
all expressions AiBi from all players including oneself and determine
the remainder after division by a given number M. The winner is the
one who first determines the correct result. According to the players’
experience it is possible to increase the difficulty by choosing
higher numbers.
You should write a program that calculates the result and is able to
find out who won the game.
Input The input consists of Z assignments. The number of them is given
by the single positive integer Z appearing on the first line of input.
Then the assignements follow. Each assignement begins with line
containing an integer M (1 <= M <= 45000). The sum will be divided by
this number. Next line contains number of players H (1 <= H <= 45000).
Next exactly H lines follow. On each line, there are exactly two
numbers Ai and Bi separated by space. Both numbers cannot be equal
zero at the same time.
Output For each assingnement there is the only one line of output. On
this line, there is a number, the result of expression
(A1B1+A2B2+ … +AHBH)mod M.
快速幂模板题。
其实连数组都不用开。
#include<cstring> #include<cstdio> int main() { int i,j,k,m,n,p,q,x,y,z,T,now,ans,val; scanf("%d",&T); while (T--) { scanf("%d",&p); scanf("%d",&n); ans=0; for (i=1;i<=n;i++) { scanf("%d%d",&x,&y); x%=p; now=x; val=1; while (y) { if (y&1) val=val*now%p; now=now*now%p; y>>=1; } ans=(ans+val)%p; } printf("%d\n",ans); } }
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