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@ -4,62 +4,71 @@ import java.util.LinkedList;
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public class Code02_AllLessNumSubArray {
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public static int getNum(int[] arr, int num) {
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if (arr == null || arr.length == 0) {
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// 暴力的对数器方法
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public static int right(int[] arr, int sum) {
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if (arr == null || arr.length == 0 || sum < 0) {
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return 0;
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}
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LinkedList<Integer> qmin = new LinkedList<Integer>();
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LinkedList<Integer> qmax = new LinkedList<Integer>();
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int L = 0;
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int R = 0;
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// [L..R) -> [0,0) 窗口内无数 [1,1)
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// [0,1) -> [0~0]
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int res = 0;
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while (L < arr.length) { // L是开头位置,尝试每一个开头
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// 如果此时窗口的开头是L,下面的while工作:R向右扩到违规为止
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while (R < arr.length) { // R是最后一个达标位置的再下一个
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while (!qmin.isEmpty() && arr[qmin.peekLast()] >= arr[R]) {
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qmin.pollLast();
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int N = arr.length;
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int count = 0;
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for (int L = 0; L < N; L++) {
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for (int R = L; R < N; R++) {
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int max = arr[L];
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int min = arr[L];
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for (int i = L + 1; i <= R; i++) {
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max = Math.max(max, arr[i]);
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min = Math.min(min, arr[i]);
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}
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qmin.addLast(R);
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// R -> arr[R],
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while (!qmax.isEmpty() && arr[qmax.peekLast()] <= arr[R]) {
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qmax.pollLast();
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if (max - min <= sum) {
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count++;
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}
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qmax.addLast(R);
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}
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}
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return count;
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}
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if (arr[qmax.getFirst()] - arr[qmin.getFirst()] > num) {
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public static int num(int[] arr, int sum) {
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if (arr == null || arr.length == 0 || sum < 0) {
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return 0;
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}
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int N = arr.length;
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int count = 0;
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LinkedList<Integer> maxWindow = new LinkedList<>();
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LinkedList<Integer> minWindow = new LinkedList<>();
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int R = 0;
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for (int L = 0; L < N; L++) {
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while (R < N) {
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while (!maxWindow.isEmpty() && arr[maxWindow.peekLast()] <= arr[R]) {
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maxWindow.pollLast();
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}
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maxWindow.addLast(R);
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while (!minWindow.isEmpty() && arr[minWindow.peekLast()] >= arr[R]) {
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minWindow.pollLast();
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}
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minWindow.addLast(R);
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if (arr[maxWindow.peekFirst()] - arr[minWindow.peekFirst()] > sum) {
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break;
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} else {
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R++;
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}
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R++;
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}
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// R是最后一个达标位置的再下一个,第一个违规的位置
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res += R - L;
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if (qmin.peekFirst() == L) {
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qmin.pollFirst();
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count += R - L;
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if (maxWindow.peekFirst() == L) {
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maxWindow.pollFirst();
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}
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if (qmax.peekFirst() == L) {
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qmax.pollFirst();
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if (minWindow.peekFirst() == L) {
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minWindow.pollFirst();
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}
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L++;
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}
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return res;
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return count;
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}
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// for test
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public static int[] getRandomArray(int len) {
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if (len < 0) {
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return null;
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}
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public static int[] generateRandomArray(int maxLen, int maxValue) {
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int len = (int) (Math.random() * (maxLen + 1));
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int[] arr = new int[len];
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for (int i = 0; i < len; i++) {
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arr[i] = (int) (Math.random() * 10);
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arr[i] = (int) (Math.random() * (maxValue + 1)) - (int) (Math.random() * (maxValue + 1));
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}
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return arr;
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}
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@ -75,10 +84,25 @@ public class Code02_AllLessNumSubArray {
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}
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public static void main(String[] args) {
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int[] arr = getRandomArray(30);
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int num = 5;
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printArray(arr);
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System.out.println(getNum(arr, num));
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int maxLen = 100;
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int maxValue = 200;
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int testTime = 100000;
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System.out.println("测试开始");
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for (int i = 0; i < testTime; i++) {
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int[] arr = generateRandomArray(maxLen, maxValue);
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int sum = (int) (Math.random() * (maxValue + 1));
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int ans1 = right(arr, sum);
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int ans2 = num(arr, sum);
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if (ans1 != ans2) {
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System.out.println("Oops!");
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printArray(arr);
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System.out.println(sum);
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System.out.println(ans1);
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System.out.println(ans2);
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break;
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}
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}
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System.out.println("测试结束");
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}
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