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DrawingMarbles.java
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public class DrawingMarbles {
public double sameColor(int[] colors, int n) {
double ans = 0;
int sum = 0;
for (int s : colors) {
sum += s;
}
for (int i = 0; i < colors.length; i++) {
double pb = 1.0;
for (int j = 0; j < n; j++) {
pb *= (colors[i] - j)*1.0 / (sum - j);
}
ans += pb;
}
return ans;
}
// BEGIN CUT HERE
public static void main(String[] args) {
if (args.length == 0) {
DrawingMarblesHarness.run_test(-1);
} else {
for (int i = 0; i < args.length; ++i) {
DrawingMarblesHarness.run_test(Integer.valueOf(args[i]));
}
}
}
// END CUT HERE
}
// BEGIN CUT HERE
class DrawingMarblesHarness {
public static void run_test(int casenum) {
if (casenum != -1) {
if (runTestCase(casenum) == -1) {
System.err.println("Illegal input! Test case " + casenum + " does not exist.");
}
return;
}
int correct = 0, total = 0;
for (int i = 0;; ++i) {
int x = runTestCase(i);
if (x == -1) {
if (i >= 100) {
break;
}
continue;
}
correct += x;
++total;
}
if (total == 0) {
System.err.println("No test cases run.");
} else if (correct < total) {
System.err.println("Some cases FAILED (passed " + correct + " of " + total + ").");
} else {
System.err.println("All " + total + " tests passed!");
}
}
static final double MAX_DOUBLE_ERROR = 1E-9;
static boolean compareOutput(double expected, double result) {
if (Double.isNaN(expected)) {
return Double.isNaN(result);
} else if (Double.isInfinite(expected)) {
if (expected > 0) {
return result > 0 && Double.isInfinite(result);
} else {
return result < 0 && Double.isInfinite(result);
}
} else if (Double.isNaN(result) || Double.isInfinite(result)) {
return false;
} else if (Math.abs(result - expected) < MAX_DOUBLE_ERROR) {
return true;
} else {
double min = Math.min(expected * (1.0 - MAX_DOUBLE_ERROR), expected * (1.0 + MAX_DOUBLE_ERROR));
double max = Math.max(expected * (1.0 - MAX_DOUBLE_ERROR), expected * (1.0 + MAX_DOUBLE_ERROR));
return result > min && result < max;
}
}
static double relativeError(double expected, double result) {
if (Double.isNaN(expected) || Double.isInfinite(expected) || Double.isNaN(result) || Double.isInfinite(result) || expected == 0) {
return 0;
}
return Math.abs(result - expected) / Math.abs(expected);
}
static String formatResult(double res) {
return String.format("%.10g", res);
}
static int verifyCase(int casenum, double expected, double received) {
System.err.print("Example " + casenum + "... ");
if (compareOutput(expected, received)) {
System.err.print("PASSED");
double rerr = relativeError(expected, received);
if (rerr > 0) {
System.err.printf(" (relative error %g)", rerr);
}
System.err.println();
return 1;
} else {
System.err.println("FAILED");
System.err.println(" Expected: " + formatResult(expected));
System.err.println(" Received: " + formatResult(received));
return 0;
}
}
static int runTestCase(int casenum__) {
switch (casenum__) {
case 0: {
int[] colors = {13};
int n = 8;
double expected__ = 1.0;
return verifyCase(casenum__, expected__, new DrawingMarbles().sameColor(colors, n));
}
case 1: {
int[] colors = {5, 7};
int n = 1;
double expected__ = 1.0;
return verifyCase(casenum__, expected__, new DrawingMarbles().sameColor(colors, n));
}
case 2: {
int[] colors = {5, 6, 7};
int n = 2;
double expected__ = 0.3006535947712418;
return verifyCase(casenum__, expected__, new DrawingMarbles().sameColor(colors, n));
}
case 3: {
int[] colors = {12, 2, 34, 13, 17};
int n = 4;
double expected__ = 0.035028830818304504;
return verifyCase(casenum__, expected__, new DrawingMarbles().sameColor(colors, n));
}
// custom cases
/* case 4: {
int[] colors = ;
int n = ;
double expected__ = ;
return verifyCase(casenum__, expected__, new DrawingMarbles().sameColor(colors, n));
}*/
/* case 5: {
int[] colors = ;
int n = ;
double expected__ = ;
return verifyCase(casenum__, expected__, new DrawingMarbles().sameColor(colors, n));
}*/
/* case 6: {
int[] colors = ;
int n = ;
double expected__ = ;
return verifyCase(casenum__, expected__, new DrawingMarbles().sameColor(colors, n));
}*/
default:
return -1;
}
}
}
// END CUT HERE