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| 1 | +package weekly; |
| 2 | + |
| 3 | +import java.util.ArrayList; |
| 4 | +import java.util.Arrays; |
| 5 | +import java.util.HashMap; |
| 6 | +import java.util.HashSet; |
| 7 | +import java.util.LinkedList; |
| 8 | +import java.util.List; |
| 9 | +import java.util.Map; |
| 10 | +import java.util.Queue; |
| 11 | +import java.util.Set; |
| 12 | +import java.util.TreeMap; |
| 13 | +import java.util.TreeSet; |
| 14 | + |
| 15 | +public class wk338 { |
| 16 | + //贪心 |
| 17 | + public int kItemsWithMaximumSum(int numOnes, int numZeros, int numNegOnes, int k) { |
| 18 | + if (numOnes >= k) { |
| 19 | + return k; |
| 20 | + } else if (numOnes + numZeros >= k) { |
| 21 | + return numOnes; |
| 22 | + } else { |
| 23 | + return numOnes - (k - numOnes - numZeros); |
| 24 | + } |
| 25 | + } |
| 26 | + |
| 27 | + //贪心 减去能减的最大质数 |
| 28 | + public boolean primeSubOperation(int[] nums) { |
| 29 | + int n = 1000; |
| 30 | + TreeSet<Integer> treeSet = new TreeSet<>(); |
| 31 | + boolean[] Prime = new boolean[n]; |
| 32 | + Prime[0] = true; |
| 33 | + for (int i = 2; i <= n; i++) { |
| 34 | + boolean isPrime = true; |
| 35 | + for (int j = 2; j <= i / 2; j++) { |
| 36 | + if (i % j == 0) { |
| 37 | + isPrime = false; |
| 38 | + break; |
| 39 | + } |
| 40 | + } |
| 41 | + if (isPrime) { |
| 42 | + Prime[i] = true; |
| 43 | + treeSet.add(i); |
| 44 | + } |
| 45 | + } |
| 46 | + for (int i = nums[0] - 1; i >= 0; i--) { |
| 47 | + if (Prime[i]) { |
| 48 | + nums[0] -= i; |
| 49 | + break; |
| 50 | + } |
| 51 | + } |
| 52 | + for (int i = 1; i < nums.length; i++) { |
| 53 | + boolean flag = false; |
| 54 | + for (int j = nums[i] - 1; j >= 0; j--) { |
| 55 | + if (Prime[j] && nums[i] - j > nums[i - 1]) { |
| 56 | + nums[i] -= j; |
| 57 | + flag = true; |
| 58 | + break; |
| 59 | + } |
| 60 | + } |
| 61 | + if (!flag) { |
| 62 | + return false; |
| 63 | + } |
| 64 | + } |
| 65 | + return true; |
| 66 | + } |
| 67 | + |
| 68 | + |
| 69 | + //前缀和+二分 |
| 70 | + public List<Long> minOperations(int[] nums, int[] queries) { |
| 71 | + int[][] q = new int[queries.length][2]; |
| 72 | + for (int i = 0; i < queries.length; i++) { |
| 73 | + q[i] = new int[]{queries[i], i}; |
| 74 | + } |
| 75 | + Arrays.sort(q, (a, b) -> a[0] - b[0]); |
| 76 | + Arrays.sort(nums); |
| 77 | + |
| 78 | + long[] res = new long[queries.length]; |
| 79 | + |
| 80 | + |
| 81 | + int left = 0; |
| 82 | + long sum = 0; |
| 83 | + for (int i = 0; i < nums.length; i++) { |
| 84 | + if (nums[i] <= q[0][0]) { |
| 85 | + left++; |
| 86 | + sum += q[0][0] - nums[i]; |
| 87 | + } else { |
| 88 | + sum += nums[i] - q[0][0]; |
| 89 | + } |
| 90 | + } |
| 91 | + res[q[0][1]] = sum; |
| 92 | + |
| 93 | + for (int i = 1; i < q.length; i++) { |
| 94 | + int dis = q[i][0] - q[i - 1][0]; |
| 95 | + int count = 0; |
| 96 | + while (left + count < nums.length && nums[left + count] < q[i][0]) { |
| 97 | + sum += (q[i][0] - nums[left + count]) - (nums[left + count] - q[i - 1][0]); |
| 98 | + count++; |
| 99 | + |
| 100 | + } |
| 101 | + |
| 102 | + sum += ((long) left - (nums.length - left - count)) * dis; |
| 103 | + |
| 104 | + res[q[i][1]] = sum; |
| 105 | + left += count; |
| 106 | + } |
| 107 | + List<Long> ans = new ArrayList<>(); |
| 108 | + for (long re : res) { |
| 109 | + ans.add(re); |
| 110 | + } |
| 111 | + return ans; |
| 112 | + } |
| 113 | + |
| 114 | + |
| 115 | + //两次拓扑排序:一次从0一直找,一次从1找两次 |
| 116 | + public int collectTheCoins(int[] coins, int[][] edges) { |
| 117 | + // 构建无向图 |
| 118 | + int n = coins.length; |
| 119 | + int[] in = new int[coins.length]; |
| 120 | + Map<Integer, List<Integer>> graph = new HashMap<>(); |
| 121 | + for (int i = 0; i < n; i++) { |
| 122 | + graph.put(i, new ArrayList<>()); |
| 123 | + } |
| 124 | + for (int[] edge : edges) { |
| 125 | + int u = edge[0], v = edge[1]; |
| 126 | + graph.get(u).add(v); |
| 127 | + graph.get(v).add(u); |
| 128 | + in[u]++; |
| 129 | + in[v]++; |
| 130 | + } |
| 131 | + Queue<Integer> queue = new LinkedList<>(); |
| 132 | + for (int i = 0; i < in.length; i++) { |
| 133 | + if (in[i] == 1) { |
| 134 | + queue.add(i); |
| 135 | + } |
| 136 | + } |
| 137 | + Set<Integer> remove = new HashSet<>(); |
| 138 | + |
| 139 | + help(remove, graph, in, coins); |
| 140 | + |
| 141 | + help2(remove, graph, in, coins); |
| 142 | + |
| 143 | + return 2 * (Math.max(0, coins.length - remove.size() - 1)); |
| 144 | + } |
| 145 | + |
| 146 | + //0遍历到底 |
| 147 | + void help(Set<Integer> remove, Map<Integer, List<Integer>> graph, int[] in, int[] coins) { |
| 148 | + Queue<Integer> queue = new LinkedList<>(); |
| 149 | + for (int i = 0; i < in.length; i++) { |
| 150 | + if (in[i] == 1 && coins[i] == 0) { |
| 151 | + queue.add(i); |
| 152 | + } |
| 153 | + } |
| 154 | + while (!queue.isEmpty()) { |
| 155 | + Integer cur = queue.poll(); |
| 156 | + remove.add(cur); |
| 157 | + in[cur] = 0; |
| 158 | + for (Integer next : graph.getOrDefault(cur, new ArrayList<>())) { |
| 159 | + in[next]--; |
| 160 | + if (coins[next] == 0 && in[next] == 1) { |
| 161 | + queue.add(next); |
| 162 | + } |
| 163 | + } |
| 164 | + } |
| 165 | + } |
| 166 | + |
| 167 | + void help2(Set<Integer> remove, Map<Integer, List<Integer>> graph, int[] in, int[] coins) { |
| 168 | + Queue<Integer> queue = new LinkedList<>(); |
| 169 | + for (int i = 0; i < in.length; i++) { |
| 170 | + if (in[i] == 1 && coins[i] == 1) { |
| 171 | + queue.add(i); |
| 172 | + } |
| 173 | + } |
| 174 | + int step = 0; |
| 175 | + while (!queue.isEmpty()) { |
| 176 | + int size = queue.size(); |
| 177 | + while (size-- > 0) { |
| 178 | + Integer cur = queue.poll(); |
| 179 | + remove.add(cur); |
| 180 | + in[cur] = 0; |
| 181 | + for (Integer next : graph.getOrDefault(cur, new ArrayList<>())) { |
| 182 | + in[next]--; |
| 183 | + if (in[next] == 1) { |
| 184 | + queue.add(next); |
| 185 | + } |
| 186 | + } |
| 187 | + } |
| 188 | + step++; |
| 189 | + if (step >= 2) return; |
| 190 | + } |
| 191 | + } |
| 192 | + |
| 193 | + public static void main(String[] args) { |
| 194 | + wk338 w = new wk338(); |
| 195 | + w.collectTheCoins(new int[]{1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, |
| 196 | + new int[][]{{0, 1}, {1, 2}, {1, 3}, {2, 4}, {4, 5}, {5, 6}, {5, 7}, {4, 8}, {7, 9}, {7, 10}, {10, 11}}); |
| 197 | + } |
| 198 | + |
| 199 | + |
| 200 | +} |
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