Physics teachers in high school often think that problems given as text are more demanding than pure computations. After all, the pupils have to read and understand the problem first!
So they don't state a problem like ``U=10V, I=5A, P=?" but rather like ``You have an electrical circuit that contains a battery with a voltage of U=10V and a light-bulb. There's an electrical current of I=5A through the bulb. Which power is generated in the bulb?".
However, half of the pupils just don't pay attention to the text anyway. They just extract from the text what is given: U=10V, I=5A. Then they think: ``Which formulae do I know? Ah yes, P=U*I. Therefore P=10V*5A=500W. Finished."
OK, this doesn't always work, so these pupils are usually not the top scorers in physics tests. But at least this simple algorithm is usually good enough to pass the class. (Sad but true.)
Today we will check if a computer can pass a high school physics test. We will concentrate on the P-U-I type problems first. That means, problems in which two of power, voltage and current are given and the third is wanted.
Your job is to write a program that reads such a text problem and solves it according to the simple algorithm given above.
Input
The first line of the input file will contain the number of test cases.Each test case will consist of one line containing exactly two data fields and some additional arbitrary words. A data field will be of the form I=xA, U=xV or P=xW, where x is a real number.
Directly before the unit (A, V or W) one of the prefixes m (milli), k (kilo) and M (Mega) may also occur. To summarize it: Data fields adhere to the following grammar:
DataField ::= Concept '=' RealNumber [Prefix] Unit Concept ::= 'P' | 'U' | 'I' Prefix ::= 'm' | 'k' | 'M' Unit ::= 'W' | 'V' | 'A'
Additional assertions:
- The equal sign (`=') will never occur in an other context than within a data field.
- There is no whitespace (tabs,blanks) inside a data field.
- Either P and U, P and I, or U and I will be given.
Output
For each test case, print three lines:
- a line saying ``Problem #k" where k is the number of the test case
- a line giving the solution (voltage, power or current, dependent on what was given), written without a prefix and with two decimal places as shown in the sample output
- a blank line
Sample Input
3 If the voltage is U=200V and the current is I=4.5A, which power is generated?
A light-bulb yields P=100W and the voltage is U=220V. Compute the current, please.
bla bla bla lightning strike I=2A bla bla bla P=2.5MW bla bla voltage?
Sample Output
Problem #1
P=900.00W
Problem #2
I=0.45A
Problem #3
U=1250000.00V
#include <stdio.h> #include <string.h> #define maxn 100 int main() { int t,i,j,p,q; int total,flag; int len[5],r[5],y[5],vis[5]; double sum[5],x[5]; char c; char sss[5][100]; total=1; scanf("%d",&t); getchar(); while(t--) { flag=vis[0]=vis[1]=1; p=q=r[0]=r[1]=0; memset(sss,'\0',sizeof(sss)); while((c=getchar())!='\n')//读取每行给出的问题 { if(c=='=')flag=0;//flag为检测到‘=’标志 else if(!flag&&(c=='W'||c=='V'||c=='A'))//检测到等号之后,检测单位并保存,这一步必须在前,否则单位会重复存储 { sss[q][p++]=c; flag=1;//检测到单位之后,数据保存结束,标志置1 len[q++]=p;//保存数据位数 p=0;//置0,从0开始重新保存下一位 } else if(!flag)//检测到‘=’之后,保存等号之后的数据 { if(c=='.')//如果有小数点,则进行标记 { vis[q]=0; r[q]=p; } sss[q][p++]=c; } } i=0; x[0]=x[1]=1; memset(y,0,sizeof(y)); while(i<2)//每个问题只有两位数据 { if(sss[i][len[i]-2]=='m')//检测单位前是否有m x[i]=0.001; else if(sss[i][len[i]-2]=='M') x[i]=1000000; else if(sss[i][len[i]-2]=='k') x[i]=1000; if(sss[i][len[i]-1]=='A') y[i]=6;//y[i]=6标记此项数据为电流 else if(sss[i][len[i]-1]=='V') y[i]=7; else if(sss[i][len[i]-1]=='W') y[i]=8; i++; } p=0; while(p<2)//每个问题只有两位数据 { sum[p]=0; j=10;//个、十、百 if(vis[p])//保存的数据没有小数点 for(i=0;(sss[p][i]<='9'&&sss[p][i]>='0');i++) sum[p]=sum[p]*j+(sss[p][i]-'0'); else { for(i=0,j=10;i<r[p];i++) sum[p]=sum[p]*j+(sss[p][i]-'0'); for(i=r[p]+1;(sss[p][i]<='9'&&sss[p][i]>='0');i++,j*=10) sum[p]=sum[p]+(sss[p][i]-'0')*1.0/j; } sum[p]=sum[p]*x[p]; p++; } printf("Problem #%d\n",total++); if((y[0]==6&&y[1]==7)||(y[0]==7||y[1]==6)) printf("P=%.2lfW\n",sum[0]*sum[1]); else if(y[0]==6&&y[1]==8) printf("U=%.2lfV\n",sum[1]/sum[0]); else if(y[0]==7&&y[1]==8) printf("I=%.2lfA\n",sum[1]/sum[0]); else if(y[0]==8&&y[1]==6) printf("U=%.2lfV\n",sum[0]/sum[1]); else if(y[0]==8&&y[1]==7) printf("I=%.2lfA\n",sum[0]/sum[1]); puts(""); } return 0; }
解析高中物理问题:算法解决电路功率计算
本文探讨了高中物理教学中常见问题的解决方法,特别关注于通过简单的算法来解决电路功率计算的问题。文章指出,部分学生在面对包含文字描述的问题时,能够直接提取关键数据并应用公式解决问题,而忽略了问题背景的理解。为了验证计算机能否有效解决此类问题,作者设计了一个程序,旨在根据给定的电压、电流或功率数据,计算出缺失的物理量。程序通过读取问题文本,识别并处理数据字段,最终输出相应的计算结果。
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