第七届河南省程序设计大赛——F Turing equation（简单模拟）

妖狐艹你老母 2022-04-25 05:04 161阅读 0赞

## 题目描述: ##

The fight goes on, whether to store numbers starting with their most significant digit or their least significant digit. Sometimes this is also called the "Endian War". The battleground dates far back into the early days of computer science. Joe Stoy, in his (by the way excellent) book "Denotational Semantics", tells following story:

"The decision which way round the digits run is, of course, mathematically trivial. Indeed, one early British computer had numbers running from right to left (because the spot on an oscilloscope tube runs from left to right, but in serial logic the least significant digits are dealt with first). Turing used to mystify audiences at public lectures when, quite by accident, he would slip into this mode even for decimal arithmetic, and write things like 73+42=16. The next version of the machine was made more conventional simply by crossing the x-deflection wires: this, however, worried the engineers, whose waveforms were all backwards. That problem was in turn solved by providing a little window so that the engineers (who tended to be behind the computer anyway) could view the oscilloscope screen from the back.

You will play the role of the audience and judge on the truth value of Turing's equations.

## 输入描述: ##

The input contains several test cases. Each specifies on a single line a Turing equation. A Turing equation has the form "a+b=c", where a, b, c are numbers made up of the digits 0,...,9. Each number will consist of at most 7 digits. This includes possible leading or trailing zeros. The equation "0+0=0" will finish the input and has to be processed, too. The equations will not contain any spaces.

## 输出描述: ##

For each test case generate a line containing the word "TRUE" or the word "FALSE", if the equation is true or false, respectively, in Turing's interpretation, i.e. the numbers being read backwards.

## 样例输入: ##

复制

73+42=16
    5+8=13
    0001000+000200=00030
    0+0=0

## 样例输出: ##

TRUE
    FALSE
    TRUE

题意：机器会将数倒着看，请判断输入的式子是否正确

例如：73+42=16 在机器人看来就是37+24=61

ac代码：

#include<iostream>
    #include<algorithm>
    #include<cmath>
    #include<cstdio>
    #define INF 99999999
    using namespace std;
    int main()
    {
    	string ss;
    	while(1){
    		cin>>ss;
    		if(ss=="0+0=0")break;
    		int sum1=0,i=ss.size()-1;
    		while(ss[i]!='='){
    			sum1=sum1*10+ss[i]-'0';
    			i--;
    		}
    		int t1=0,t2=0;
    		i--;
    		while(ss[i]!='+'){
    			t1=t1*10+ss[i]-'0';
    			i--;
    		}
    		i--;
    		while(i>=0){
    			t2=t2*10+ss[i]-'0';
    			i--;
    		}
    		if(t1+t2==sum1)cout<<"TRUE"<<endl;
    		else cout<<"FALSE"<<endl;
    	}
    	return 0;
    }