AlgorithmsAndAbstractDesign/Program3.java at main · alec121212/AlgorithmsAndAbstractDesign · GitHub

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importjava.util.ArrayList;
importjava.util.List;
importjava.util.Scanner;

classProgram3 {
publicrecordResult(intnumPlatforms, inttotalHeight, int[] numPaintings) {}

/**
 * Solution to program 3
 *
 * @param n number of paintings
 * @param w width of the platform
 * @param heights array of heights of the paintings
 * @param widths array of widths of the paintings
 * @return Result object containing the number of platforms, total height of the paintings,
 * and the number of paintings on each platform
 */
privatestaticResultprogram3(intn, intw, int[] heights, int[] widths) {
// Initialize the minimum total height to a large value
intminTotalHeight = Integer.MAX_VALUE;
int[] bestNumPaintings = null; // Stores the number of paintings on each platform for the best partition

// There are 2^(n-1) possible ways to partition the paintings
inttotalPartitions = 1 << (n - 1); // 2^(n-1)

// For each possible partition
for (intpartition = 0; partition < totalPartitions; partition++) {
inttotalHeight = 0;
intstart = 0;
List<Integer> numPaintingsList = newArrayList<>();

inttotalWidth = 0;
intmaxHeight = 0;

for (inti = 0; i < n; i++) {
// Add the current painting to the current platform
totalWidth += widths[i];
maxHeight = Math.max(maxHeight, heights[i]);

// If total width exceeds platform width, this partition is invalid
if (totalWidth > w) {
totalHeight = Integer.MAX_VALUE;
break;
 }

// If there is a break after the current painting or it's the last painting
if (((partition & (1 << i)) != 0) || i == n - 1) {
totalHeight += maxHeight;
numPaintingsList.add(i - start + 1);
// Reset for the next platform
start = i + 1;
totalWidth = 0;
maxHeight = 0;
 }
 }

// If this partition has a lower total height, update the best partition
if (totalHeight < minTotalHeight) {
minTotalHeight = totalHeight;
bestNumPaintings = numPaintingsList.stream().mapToInt(x -> x).toArray();
 }
 }

intnumPlatforms = bestNumPaintings != null ? bestNumPaintings.length : 0;
returnnewResult(numPlatforms, minTotalHeight, bestNumPaintings);
 }

publicstaticvoidmain(String[] args) {
Scannersc = newScanner(System.in);
intn = sc.nextInt();
intW = sc.nextInt();
int[] heights = newint[n];
int[] widths = newint[n];
for (inti = 0; i < n; i++) {
heights[i] = sc.nextInt();
 }
for (inti = 0; i < n; i++) {
widths[i] = sc.nextInt();
 }
sc.close();
Resultresult = program3(n, W, heights, widths);
System.out.println(result.numPlatforms());
System.out.println(result.totalHeight());
for (inti = 0; i < result.numPaintings().length; i++) {
System.out.println(result.numPaintings()[i]);
 }
 }
}
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importjava.util.ArrayList;
importjava.util.List;
importjava.util.Scanner;

classProgram3 {
publicrecordResult(intnumPlatforms, inttotalHeight, int[] numPaintings) {}

/**
 * Solution to program 3
 *
 * @param n number of paintings
 * @param w width of the platform
 * @param heights array of heights of the paintings
 * @param widths array of widths of the paintings
 * @return Result object containing the number of platforms, total height of the paintings,
 * and the number of paintings on each platform
 */
privatestaticResultprogram3(intn, intw, int[] heights, int[] widths) {
// Initialize the minimum total height to a large value
intminTotalHeight = Integer.MAX_VALUE;
int[] bestNumPaintings = null; // Stores the number of paintings on each platform for the best partition

// There are 2^(n-1) possible ways to partition the paintings
inttotalPartitions = 1 << (n - 1); // 2^(n-1)

// For each possible partition
for (intpartition = 0; partition < totalPartitions; partition++) {
inttotalHeight = 0;
intstart = 0;
List<Integer> numPaintingsList = newArrayList<>();

inttotalWidth = 0;
intmaxHeight = 0;

for (inti = 0; i < n; i++) {
// Add the current painting to the current platform
totalWidth += widths[i];
maxHeight = Math.max(maxHeight, heights[i]);

// If total width exceeds platform width, this partition is invalid
if (totalWidth > w) {
totalHeight = Integer.MAX_VALUE;
break;
 }

// If there is a break after the current painting or it's the last painting
if (((partition & (1 << i)) != 0) || i == n - 1) {
totalHeight += maxHeight;
numPaintingsList.add(i - start + 1);
// Reset for the next platform
start = i + 1;
totalWidth = 0;
maxHeight = 0;
 }
 }

// If this partition has a lower total height, update the best partition
if (totalHeight < minTotalHeight) {
minTotalHeight = totalHeight;
bestNumPaintings = numPaintingsList.stream().mapToInt(x -> x).toArray();
 }
 }

intnumPlatforms = bestNumPaintings != null ? bestNumPaintings.length : 0;
returnnewResult(numPlatforms, minTotalHeight, bestNumPaintings);
 }

publicstaticvoidmain(String[] args) {
Scannersc = newScanner(System.in);
intn = sc.nextInt();
intW = sc.nextInt();
int[] heights = newint[n];
int[] widths = newint[n];
for (inti = 0; i < n; i++) {
heights[i] = sc.nextInt();
 }
for (inti = 0; i < n; i++) {
widths[i] = sc.nextInt();
 }
sc.close();
Resultresult = program3(n, W, heights, widths);
System.out.println(result.numPlatforms());
System.out.println(result.totalHeight());
for (inti = 0; i < result.numPaintings().length; i++) {
System.out.println(result.numPaintings()[i]);
 }
 }
}
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importjava.util.ArrayList;
importjava.util.List;
importjava.util.Scanner;

classProgram3 {
publicrecordResult(intnumPlatforms, inttotalHeight, int[] numPaintings) {}

/**
 * Solution to program 3
 *
 * @param n number of paintings
 * @param w width of the platform
 * @param heights array of heights of the paintings
 * @param widths array of widths of the paintings
 * @return Result object containing the number of platforms, total height of the paintings,
 * and the number of paintings on each platform
 */
privatestaticResultprogram3(intn, intw, int[] heights, int[] widths) {
// Initialize the minimum total height to a large value
intminTotalHeight = Integer.MAX_VALUE;
int[] bestNumPaintings = null; // Stores the number of paintings on each platform for the best partition

// There are 2^(n-1) possible ways to partition the paintings
inttotalPartitions = 1 << (n - 1); // 2^(n-1)

// For each possible partition
for (intpartition = 0; partition < totalPartitions; partition++) {
inttotalHeight = 0;
intstart = 0;
List<Integer> numPaintingsList = newArrayList<>();

inttotalWidth = 0;
intmaxHeight = 0;

for (inti = 0; i < n; i++) {
// Add the current painting to the current platform
totalWidth += widths[i];
maxHeight = Math.max(maxHeight, heights[i]);

// If total width exceeds platform width, this partition is invalid
if (totalWidth > w) {
totalHeight = Integer.MAX_VALUE;
break;
 }

// If there is a break after the current painting or it's the last painting
if (((partition & (1 << i)) != 0) || i == n - 1) {
totalHeight += maxHeight;
numPaintingsList.add(i - start + 1);
// Reset for the next platform
start = i + 1;
totalWidth = 0;
maxHeight = 0;
 }
 }

// If this partition has a lower total height, update the best partition
if (totalHeight < minTotalHeight) {
minTotalHeight = totalHeight;
bestNumPaintings = numPaintingsList.stream().mapToInt(x -> x).toArray();
 }
 }

intnumPlatforms = bestNumPaintings != null ? bestNumPaintings.length : 0;
returnnewResult(numPlatforms, minTotalHeight, bestNumPaintings);
 }

publicstaticvoidmain(String[] args) {
Scannersc = newScanner(System.in);
intn = sc.nextInt();
intW = sc.nextInt();
int[] heights = newint[n];
int[] widths = newint[n];
for (inti = 0; i < n; i++) {
heights[i] = sc.nextInt();
 }
for (inti = 0; i < n; i++) {
widths[i] = sc.nextInt();
 }
sc.close();
Resultresult = program3(n, W, heights, widths);
System.out.println(result.numPlatforms());
System.out.println(result.totalHeight());
for (inti = 0; i < result.numPaintings().length; i++) {
System.out.println(result.numPaintings()[i]);
 }
 }
}
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importjava.util.ArrayList;
importjava.util.List;
importjava.util.Scanner;

classProgram3 {
publicrecordResult(intnumPlatforms, inttotalHeight, int[] numPaintings) {}

/**
 * Solution to program 3
 *
 * @param n number of paintings
 * @param w width of the platform
 * @param heights array of heights of the paintings
 * @param widths array of widths of the paintings
 * @return Result object containing the number of platforms, total height of the paintings,
 * and the number of paintings on each platform
 */
privatestaticResultprogram3(intn, intw, int[] heights, int[] widths) {
// Initialize the minimum total height to a large value
intminTotalHeight = Integer.MAX_VALUE;
int[] bestNumPaintings = null; // Stores the number of paintings on each platform for the best partition

// There are 2^(n-1) possible ways to partition the paintings
inttotalPartitions = 1 << (n - 1); // 2^(n-1)

// For each possible partition
for (intpartition = 0; partition < totalPartitions; partition++) {
inttotalHeight = 0;
intstart = 0;
List<Integer> numPaintingsList = newArrayList<>();

inttotalWidth = 0;
intmaxHeight = 0;

for (inti = 0; i < n; i++) {
// Add the current painting to the current platform
totalWidth += widths[i];
maxHeight = Math.max(maxHeight, heights[i]);

// If total width exceeds platform width, this partition is invalid
if (totalWidth > w) {
totalHeight = Integer.MAX_VALUE;
break;
 }

// If there is a break after the current painting or it's the last painting
if (((partition & (1 << i)) != 0) || i == n - 1) {
totalHeight += maxHeight;
numPaintingsList.add(i - start + 1);
// Reset for the next platform
start = i + 1;
totalWidth = 0;
maxHeight = 0;
 }
 }

// If this partition has a lower total height, update the best partition
if (totalHeight < minTotalHeight) {
minTotalHeight = totalHeight;
bestNumPaintings = numPaintingsList.stream().mapToInt(x -> x).toArray();
 }
 }

intnumPlatforms = bestNumPaintings != null ? bestNumPaintings.length : 0;
returnnewResult(numPlatforms, minTotalHeight, bestNumPaintings);
 }

publicstaticvoidmain(String[] args) {
Scannersc = newScanner(System.in);
intn = sc.nextInt();
intW = sc.nextInt();
int[] heights = newint[n];
int[] widths = newint[n];
for (inti = 0; i < n; i++) {
heights[i] = sc.nextInt();
 }
for (inti = 0; i < n; i++) {
widths[i] = sc.nextInt();
 }
sc.close();
Resultresult = program3(n, W, heights, widths);
System.out.println(result.numPlatforms());
System.out.println(result.totalHeight());
for (inti = 0; i < result.numPaintings().length; i++) {
System.out.println(result.numPaintings()[i]);
 }
 }
}
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importjava.util.ArrayList;
importjava.util.List;
importjava.util.Scanner;

classProgram3 {
publicrecordResult(intnumPlatforms, inttotalHeight, int[] numPaintings) {}

/**
 * Solution to program 3
 *
 * @param n number of paintings
 * @param w width of the platform
 * @param heights array of heights of the paintings
 * @param widths array of widths of the paintings
 * @return Result object containing the number of platforms, total height of the paintings,
 * and the number of paintings on each platform
 */
privatestaticResultprogram3(intn, intw, int[] heights, int[] widths) {
// Initialize the minimum total height to a large value
intminTotalHeight = Integer.MAX_VALUE;
int[] bestNumPaintings = null; // Stores the number of paintings on each platform for the best partition

// There are 2^(n-1) possible ways to partition the paintings
inttotalPartitions = 1 << (n - 1); // 2^(n-1)

// For each possible partition
for (intpartition = 0; partition < totalPartitions; partition++) {
inttotalHeight = 0;
intstart = 0;
List<Integer> numPaintingsList = newArrayList<>();

inttotalWidth = 0;
intmaxHeight = 0;

for (inti = 0; i < n; i++) {
// Add the current painting to the current platform
totalWidth += widths[i];
maxHeight = Math.max(maxHeight, heights[i]);

// If total width exceeds platform width, this partition is invalid
if (totalWidth > w) {
totalHeight = Integer.MAX_VALUE;
break;
 }

// If there is a break after the current painting or it's the last painting
if (((partition & (1 << i)) != 0) || i == n - 1) {
totalHeight += maxHeight;
numPaintingsList.add(i - start + 1);
// Reset for the next platform
start = i + 1;
totalWidth = 0;
maxHeight = 0;
 }
 }

// If this partition has a lower total height, update the best partition
if (totalHeight < minTotalHeight) {
minTotalHeight = totalHeight;
bestNumPaintings = numPaintingsList.stream().mapToInt(x -> x).toArray();
 }
 }

intnumPlatforms = bestNumPaintings != null ? bestNumPaintings.length : 0;
returnnewResult(numPlatforms, minTotalHeight, bestNumPaintings);
 }

publicstaticvoidmain(String[] args) {
Scannersc = newScanner(System.in);
intn = sc.nextInt();
intW = sc.nextInt();
int[] heights = newint[n];
int[] widths = newint[n];
for (inti = 0; i < n; i++) {
heights[i] = sc.nextInt();
 }
for (inti = 0; i < n; i++) {
widths[i] = sc.nextInt();
 }
sc.close();
Resultresult = program3(n, W, heights, widths);
System.out.println(result.numPlatforms());
System.out.println(result.totalHeight());
for (inti = 0; i < result.numPaintings().length; i++) {
System.out.println(result.numPaintings()[i]);
 }
 }
}
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importjava.util.ArrayList;
importjava.util.List;
importjava.util.Scanner;

classProgram3 {
publicrecordResult(intnumPlatforms, inttotalHeight, int[] numPaintings) {}

/**
 * Solution to program 3
 *
 * @param n number of paintings
 * @param w width of the platform
 * @param heights array of heights of the paintings
 * @param widths array of widths of the paintings
 * @return Result object containing the number of platforms, total height of the paintings,
 * and the number of paintings on each platform
 */
privatestaticResultprogram3(intn, intw, int[] heights, int[] widths) {
// Initialize the minimum total height to a large value
intminTotalHeight = Integer.MAX_VALUE;
int[] bestNumPaintings = null; // Stores the number of paintings on each platform for the best partition

// There are 2^(n-1) possible ways to partition the paintings
inttotalPartitions = 1 << (n - 1); // 2^(n-1)

// For each possible partition
for (intpartition = 0; partition < totalPartitions; partition++) {
inttotalHeight = 0;
intstart = 0;
List<Integer> numPaintingsList = newArrayList<>();

inttotalWidth = 0;
intmaxHeight = 0;

for (inti = 0; i < n; i++) {
// Add the current painting to the current platform
totalWidth += widths[i];
maxHeight = Math.max(maxHeight, heights[i]);

// If total width exceeds platform width, this partition is invalid
if (totalWidth > w) {
totalHeight = Integer.MAX_VALUE;
break;
 }

// If there is a break after the current painting or it's the last painting
if (((partition & (1 << i)) != 0) || i == n - 1) {
totalHeight += maxHeight;
numPaintingsList.add(i - start + 1);
// Reset for the next platform
start = i + 1;
totalWidth = 0;
maxHeight = 0;
 }
 }

// If this partition has a lower total height, update the best partition
if (totalHeight < minTotalHeight) {
minTotalHeight = totalHeight;
bestNumPaintings = numPaintingsList.stream().mapToInt(x -> x).toArray();
 }
 }

intnumPlatforms = bestNumPaintings != null ? bestNumPaintings.length : 0;
returnnewResult(numPlatforms, minTotalHeight, bestNumPaintings);
 }

publicstaticvoidmain(String[] args) {
Scannersc = newScanner(System.in);
intn = sc.nextInt();
intW = sc.nextInt();
int[] heights = newint[n];
int[] widths = newint[n];
for (inti = 0; i < n; i++) {
heights[i] = sc.nextInt();
 }
for (inti = 0; i < n; i++) {
widths[i] = sc.nextInt();
 }
sc.close();
Resultresult = program3(n, W, heights, widths);
System.out.println(result.numPlatforms());
System.out.println(result.totalHeight());
for (inti = 0; i < result.numPaintings().length; i++) {
System.out.println(result.numPaintings()[i]);
 }
 }
}
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importjava.util.ArrayList;
importjava.util.List;
importjava.util.Scanner;

classProgram3 {
publicrecordResult(intnumPlatforms, inttotalHeight, int[] numPaintings) {}

/**
 * Solution to program 3
 *
 * @param n number of paintings
 * @param w width of the platform
 * @param heights array of heights of the paintings
 * @param widths array of widths of the paintings
 * @return Result object containing the number of platforms, total height of the paintings,
 * and the number of paintings on each platform
 */
privatestaticResultprogram3(intn, intw, int[] heights, int[] widths) {
// Initialize the minimum total height to a large value
intminTotalHeight = Integer.MAX_VALUE;
int[] bestNumPaintings = null; // Stores the number of paintings on each platform for the best partition

// There are 2^(n-1) possible ways to partition the paintings
inttotalPartitions = 1 << (n - 1); // 2^(n-1)

// For each possible partition
for (intpartition = 0; partition < totalPartitions; partition++) {
inttotalHeight = 0;
intstart = 0;
List<Integer> numPaintingsList = newArrayList<>();

inttotalWidth = 0;
intmaxHeight = 0;

for (inti = 0; i < n; i++) {
// Add the current painting to the current platform
totalWidth += widths[i];
maxHeight = Math.max(maxHeight, heights[i]);

// If total width exceeds platform width, this partition is invalid
if (totalWidth > w) {
totalHeight = Integer.MAX_VALUE;
break;
 }

// If there is a break after the current painting or it's the last painting
if (((partition & (1 << i)) != 0) || i == n - 1) {
totalHeight += maxHeight;
numPaintingsList.add(i - start + 1);
// Reset for the next platform
start = i + 1;
totalWidth = 0;
maxHeight = 0;
 }
 }

// If this partition has a lower total height, update the best partition
if (totalHeight < minTotalHeight) {
minTotalHeight = totalHeight;
bestNumPaintings = numPaintingsList.stream().mapToInt(x -> x).toArray();
 }
 }

intnumPlatforms = bestNumPaintings != null ? bestNumPaintings.length : 0;
returnnewResult(numPlatforms, minTotalHeight, bestNumPaintings);
 }

publicstaticvoidmain(String[] args) {
Scannersc = newScanner(System.in);
intn = sc.nextInt();
intW = sc.nextInt();
int[] heights = newint[n];
int[] widths = newint[n];
for (inti = 0; i < n; i++) {
heights[i] = sc.nextInt();
 }
for (inti = 0; i < n; i++) {
widths[i] = sc.nextInt();
 }
sc.close();
Resultresult = program3(n, W, heights, widths);
System.out.println(result.numPlatforms());
System.out.println(result.totalHeight());
for (inti = 0; i < result.numPaintings().length; i++) {
System.out.println(result.numPaintings()[i]);
 }
 }
}
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importjava.util.ArrayList;
importjava.util.List;
importjava.util.Scanner;

classProgram3 {
publicrecordResult(intnumPlatforms, inttotalHeight, int[] numPaintings) {}

/**
 * Solution to program 3
 *
 * @param n number of paintings
 * @param w width of the platform
 * @param heights array of heights of the paintings
 * @param widths array of widths of the paintings
 * @return Result object containing the number of platforms, total height of the paintings,
 * and the number of paintings on each platform
 */
privatestaticResultprogram3(intn, intw, int[] heights, int[] widths) {
// Initialize the minimum total height to a large value
intminTotalHeight = Integer.MAX_VALUE;
int[] bestNumPaintings = null; // Stores the number of paintings on each platform for the best partition

// There are 2^(n-1) possible ways to partition the paintings
inttotalPartitions = 1 << (n - 1); // 2^(n-1)

// For each possible partition
for (intpartition = 0; partition < totalPartitions; partition++) {
inttotalHeight = 0;
intstart = 0;
List<Integer> numPaintingsList = newArrayList<>();

inttotalWidth = 0;
intmaxHeight = 0;

for (inti = 0; i < n; i++) {
// Add the current painting to the current platform
totalWidth += widths[i];
maxHeight = Math.max(maxHeight, heights[i]);

// If total width exceeds platform width, this partition is invalid
if (totalWidth > w) {
totalHeight = Integer.MAX_VALUE;
break;
 }

// If there is a break after the current painting or it's the last painting
if (((partition & (1 << i)) != 0) || i == n - 1) {
totalHeight += maxHeight;
numPaintingsList.add(i - start + 1);
// Reset for the next platform
start = i + 1;
totalWidth = 0;
maxHeight = 0;
 }
 }

// If this partition has a lower total height, update the best partition
if (totalHeight < minTotalHeight) {
minTotalHeight = totalHeight;
bestNumPaintings = numPaintingsList.stream().mapToInt(x -> x).toArray();
 }
 }

intnumPlatforms = bestNumPaintings != null ? bestNumPaintings.length : 0;
returnnewResult(numPlatforms, minTotalHeight, bestNumPaintings);
 }

publicstaticvoidmain(String[] args) {
Scannersc = newScanner(System.in);
intn = sc.nextInt();
intW = sc.nextInt();
int[] heights = newint[n];
int[] widths = newint[n];
for (inti = 0; i < n; i++) {
heights[i] = sc.nextInt();
 }
for (inti = 0; i < n; i++) {
widths[i] = sc.nextInt();
 }
sc.close();
Resultresult = program3(n, W, heights, widths);
System.out.println(result.numPlatforms());
System.out.println(result.totalHeight());
for (inti = 0; i < result.numPaintings().length; i++) {
System.out.println(result.numPaintings()[i]);
 }
 }
}