Title Link: http://acm.timus.ru/problem.aspx?space=1&num=1823
1823. Ideal Gastime limit:0.5 Second
Memory limit:64 MB
Many of know the universal method of solving simple physics problems:you has to find in a textbook an identity in WH Ich know the values of all the quantities except for one, substitute the numbers into this identity, and calculate the Unknown quantity. This problem is even easier. You know right away, the identity needed for its solution are the Clapeyron–mendeleev equation for the L Gas. This equation relates the pressure of a ideal gas
P, the amount of substance
N, the volume occupied by the gas
V, and the temperature
T. Given Three of these quantities, you has to find the fourth quantity. Note that the temperature of a gas and the volume occupied by it must always be positive. Inputeach of the three input lines has the form "X = value", where
Xis the symbol for a physical quantity and
valueis a nonnegative an integer not exceeding 1000. The three lines specify the values of three different quantities. Pressure is specified in pascals, amount of substance in moles, volume in cubic meters, and temperature in kelvins. It is guaranteed, the temperature and volume are positive. The universal gas constant
RShould is taken equal to 8.314 J/(Mol K). Outputif the input data is inconsistent, output the only line "error". If the value of
XCan is determined uniquely, output it in the format "X = value" with an accuracy of 10? 3. If it is impossible to uniquely determine the value of
X, output the only line "undefined". Sample
input |
Output |
p = 1n = 1V = 1 |
T = 0.120279 |
Notesrecall that Pa = n/m2and J = n· M.
Ps:
P*v = n*r*t;
The code is as follows:
#include <cstdio> #include <cstring> #include <algorithm>using namespace std;const double R = 8.314; Double pp, VV, NN, Tt;void findd (char A, double b) {if (a = = ' P ') {pp = b; } else if (a = = ' V ') {VV = b; } else if (a = = ' n ') {NN = b; } else if (a = = ' T ') {TT = b; }}int Main () {char A; Double b; while (~scanf ("%c =%lf", &a, &b)) {GetChar (); PP = VV = NN = TT =-1; Findd (A, b); scanf ("%c =%lf", &a, &b); GetChar (); Findd (A, b); scanf ("%c =%lf", &a, &b); GetChar (); Findd (A, b); if (NN < 0) {printf ("n =%lf\n", (PP*VV)/(R*TT)); } else if (PP < 0) {printf ("p =%lf\n", (NN*R*TT)/(VV)); } else if (TT < 0 | | VV < 0) {if (nn==0 && pp==0) {printf ("undefined\n"); } else IF (nn==0 | | pp==0) {printf ("error\n"); } else if (TT < 0) {printf ("T =%lf\n", (PP*VV)/(Nn*r)); } else if (VV < 0) {printf ("V =%lf\n", (NN*R*TT)/(PP)); }}} return 0;}
URAL 1823. Ideal gas (Math AH)