How to resolve the algorithm Two bullet roulette step by step in the C programming language
Published on 7 June 2024 03:52 AM
How to resolve the algorithm Two bullet roulette step by step in the C programming language
Table of Contents
Problem Statement
The following is supposedly a question given to mathematics graduates seeking jobs on Wall Street:
Youtube video on the Russian 1895 Nagant revolver [[1]]
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Two bullet roulette step by step in the C programming language
The provided code is a C program that simulates a Russian roulette game. The game takes a sequence of actions as input ("L", "S", "F"
), and the program calculates the probability of death.
-
Global Variables:
nextInt(int size)
: Used to generate a random integer within the specifiedsize
.cylinder[6]
: A boolean array representing the six chambers of the revolver, wheretrue
indicates a loaded chamber.
-
Functions:
rshift()
: Rotates the revolver cylinder by shifting the chambers to the right.unload()
: Unloads the revolver by setting all chambers tofalse
.load()
: Loads the revolver by setting the first chamber totrue
and rotating the cylinder.spin()
: Spins the revolver cylinder by a random number of positions (1-6).fire()
: Fires the revolver by checking if the first chamber is loaded and rotating it. It returnstrue
if the shot is successful.method(const char *s)
: This is the main game simulation method. It takes a strings
of actions ("L", "S", "F"
) and performs the corresponding actions on the revolver. It returns1
if the player dies (shot successfully), and0
otherwise.append(char *out, const char *txt)
: Appends the specified texttxt
to the output stringout
with a comma separator ifout
is not empty.mstring(const char *s, char *out)
: Converts the input strings
of actions ("L", "S", "F"
) into a descriptive string (e.g., "load", "spin", "fire") and appends it to the output stringout
.test(char *src)
: This function runs a test with a given input stringsrc
. It simulates the gametests
times and calculates the probability of death for the given sequence of actions. The test results are printed with the corresponding descriptive string.
-
Main Function:
- Seeds the random number generator using the current time.
- Runs tests for four different input strings:
LSLSFSF
LSLSFF
LLSFSF
LLSFF
- For each test, it calculates the probability of death and prints the results.
Source code in the c programming language
#include <stdbool.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
static int nextInt(int size) {
return rand() % size;
}
static bool cylinder[6];
static void rshift() {
bool t = cylinder[5];
int i;
for (i = 4; i >= 0; i--) {
cylinder[i + 1] = cylinder[i];
}
cylinder[0] = t;
}
static void unload() {
int i;
for (i = 0; i < 6; i++) {
cylinder[i] = false;
}
}
static void load() {
while (cylinder[0]) {
rshift();
}
cylinder[0] = true;
rshift();
}
static void spin() {
int lim = nextInt(6) + 1;
int i;
for (i = 1; i < lim; i++) {
rshift();
}
}
static bool fire() {
bool shot = cylinder[0];
rshift();
return shot;
}
static int method(const char *s) {
unload();
for (; *s != '\0'; s++) {
switch (*s) {
case 'L':
load();
break;
case 'S':
spin();
break;
case 'F':
if (fire()) {
return 1;
}
break;
}
}
return 0;
}
static void append(char *out, const char *txt) {
if (*out != '\0') {
strcat(out, ", ");
}
strcat(out, txt);
}
static void mstring(const char *s, char *out) {
for (; *s != '\0'; s++) {
switch (*s) {
case 'L':
append(out, "load");
break;
case 'S':
append(out, "spin");
break;
case 'F':
append(out, "fire");
break;
}
}
}
static void test(char *src) {
char buffer[41] = "";
const int tests = 100000;
int sum = 0;
int t;
double pc;
for (t = 0; t < tests; t++) {
sum += method(src);
}
mstring(src, buffer);
pc = 100.0 * sum / tests;
printf("%-40s produces %6.3f%% deaths.\n", buffer, pc);
}
int main() {
srand(time(0));
test("LSLSFSF");
test("LSLSFF");
test("LLSFSF");
test("LLSFF");
return 0;
}
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