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| 1 | +package weekly; |
| 2 | + |
| 3 | +import java.util.ArrayList; |
| 4 | +import java.util.Arrays; |
| 5 | +import java.util.Collections; |
| 6 | +import java.util.HashMap; |
| 7 | +import java.util.HashSet; |
| 8 | +import java.util.List; |
| 9 | +import java.util.Map; |
| 10 | +import java.util.Set; |
| 11 | + |
| 12 | +public class wkb105 { |
| 13 | + |
| 14 | + //模拟 |
| 15 | + public int buyChoco(int[] prices, int money) { |
| 16 | + Arrays.sort(prices); |
| 17 | + if (prices[0] + prices[1] > money) { |
| 18 | + return money; |
| 19 | + } |
| 20 | + return money - prices[0] - prices[1]; |
| 21 | + } |
| 22 | + |
| 23 | + //记忆化搜索 |
| 24 | + public int minExtraChar(String s, String[] dictionary) { |
| 25 | + Arrays.sort(dictionary, (a, b) -> b.length() - a.length()); |
| 26 | + dp = new int[s.length()]; |
| 27 | + Arrays.fill(dp, -1); |
| 28 | + help(s, dictionary, 0); |
| 29 | + return dp[0]; |
| 30 | + } |
| 31 | + |
| 32 | + |
| 33 | + int[] dp; |
| 34 | + |
| 35 | + int help(String s, String[] dictionary, int index) { |
| 36 | + |
| 37 | + if (index >= s.length()) { |
| 38 | + return 0; |
| 39 | + } |
| 40 | + if (dp[index] != -1) return dp[index]; |
| 41 | + int ans = help(s, dictionary, index + 1) + 1; |
| 42 | + for (int j = 0; j < dictionary.length; j++) { |
| 43 | + if (index + dictionary[j].length() > s.length()) { |
| 44 | + continue; |
| 45 | + } |
| 46 | + if (s.substring(index, index + dictionary[j].length()).equals(dictionary[j])) { |
| 47 | + ans = Math.min(ans, help(s, dictionary, index + dictionary[j].length())); |
| 48 | + } |
| 49 | + } |
| 50 | + dp[index] = ans; |
| 51 | + return ans; |
| 52 | + } |
| 53 | + |
| 54 | + |
| 55 | + //分类讨论 |
| 56 | + public long maxStrength(int[] nums) { |
| 57 | + long ans = 1; |
| 58 | + |
| 59 | + List<Integer> list = new ArrayList<>(); |
| 60 | + List<Integer> pos = new ArrayList<>(); |
| 61 | + int zero = 0; |
| 62 | + for (int num : nums) { |
| 63 | + if (num > 0) { |
| 64 | + pos.add(num); |
| 65 | + ans *= num; |
| 66 | + } else if (num < 0) { |
| 67 | + list.add(num); |
| 68 | + } else { |
| 69 | + zero++; |
| 70 | + } |
| 71 | + } |
| 72 | + |
| 73 | + if (pos.size() == 0 && list.size() == 1) { |
| 74 | + if (zero > 0) { |
| 75 | + return 0; |
| 76 | + } else { |
| 77 | + return list.get(0); |
| 78 | + } |
| 79 | + } |
| 80 | + Collections.sort(list); |
| 81 | + int n = 0; |
| 82 | + if (list.size() % 2 == 0) { |
| 83 | + n = list.size(); |
| 84 | + } else { |
| 85 | + n = list.size() - 1; |
| 86 | + } |
| 87 | + for (int i = 0; i < n; i++) { |
| 88 | + ans *= list.get(i); |
| 89 | + } |
| 90 | + return ans; |
| 91 | + |
| 92 | + } |
| 93 | + |
| 94 | + //并查集 |
| 95 | + class UnionFind { |
| 96 | + public final int[] parents; |
| 97 | + public int count; |
| 98 | + |
| 99 | + public UnionFind(int n) { |
| 100 | + this.parents = new int[n]; |
| 101 | + reset(); |
| 102 | + } |
| 103 | + |
| 104 | + public void reset() { |
| 105 | + for (int i = 0; i < parents.length; i++) { |
| 106 | + parents[i] = i; |
| 107 | + } |
| 108 | + count = parents.length - 1; |
| 109 | + } |
| 110 | + |
| 111 | + public int find(int i) { |
| 112 | + int parent = parents[i]; |
| 113 | + if (parent == i) { |
| 114 | + return i; |
| 115 | + } else { |
| 116 | + int root = find(parent); |
| 117 | + parents[i] = root; |
| 118 | + return root; |
| 119 | + } |
| 120 | + } |
| 121 | + |
| 122 | + public boolean union(int i, int j) { |
| 123 | + int r1 = find(i); |
| 124 | + int r2 = find(j); |
| 125 | + if (r1 != r2) { |
| 126 | + count--; |
| 127 | + parents[r1] = r2; |
| 128 | + return true; |
| 129 | + } else { |
| 130 | + return false; |
| 131 | + } |
| 132 | + } |
| 133 | + |
| 134 | + /* void isolate(int x) { |
| 135 | + if (x != parents[x]) { |
| 136 | + parents[x] = x; |
| 137 | + count++; |
| 138 | + } |
| 139 | + }*/ |
| 140 | + |
| 141 | + } |
| 142 | + |
| 143 | + public static List<Integer> getPrimes(int n) { |
| 144 | + |
| 145 | + boolean[] isComposite = new boolean[n + 1]; |
| 146 | + List<Integer> primes = new ArrayList<>(); |
| 147 | + |
| 148 | + for (int i = 2; i <= n; i++) { |
| 149 | + if (!isComposite[i]) { |
| 150 | + primes.add(i); |
| 151 | + for (int j = i * i; j >= 0 && j <= n; j += i) { // 标记该数的倍数为合数 |
| 152 | + isComposite[j] = true; |
| 153 | + } |
| 154 | + } |
| 155 | + } |
| 156 | + |
| 157 | + return primes; |
| 158 | + } |
| 159 | + |
| 160 | + static List<Integer>[] zhiyinshu = new List[100001]; |
| 161 | + |
| 162 | + static { |
| 163 | + |
| 164 | + zhiyinshu[1]=new ArrayList<>(); |
| 165 | + for (int i = 2; i < zhiyinshu.length; i++) { |
| 166 | + if (zhiyinshu[i] == null) { |
| 167 | + for (int j = i; j < zhiyinshu.length; j += i) { |
| 168 | + if (zhiyinshu[j] == null) { |
| 169 | + zhiyinshu[j] = new ArrayList<>(); |
| 170 | + } |
| 171 | + zhiyinshu[j].add(i); |
| 172 | + } |
| 173 | + } |
| 174 | + } |
| 175 | + } |
| 176 | + |
| 177 | + public boolean canTraverseAllPairs(int[] nums) { |
| 178 | + int n = nums.length; |
| 179 | + int mx = 0; |
| 180 | + for (int num : nums) { |
| 181 | + mx = Math.max(num, mx); |
| 182 | + } |
| 183 | + UnionFind uf = new UnionFind(nums.length + mx+1); |
| 184 | + |
| 185 | + for (int i = 0; i < nums.length; i++) { |
| 186 | + for (Integer prime : zhiyinshu[nums[i]]) { |
| 187 | + uf.union(i, prime + n); |
| 188 | + } |
| 189 | + } |
| 190 | + int group = -1; |
| 191 | + for (int i = 0; i < n; i++) { |
| 192 | + int g = uf.find(i); |
| 193 | + if (group == -1) group = g; |
| 194 | + if (group != g) return false; |
| 195 | + } |
| 196 | + return true; |
| 197 | + |
| 198 | + } |
| 199 | + /* public boolean canTraverseAllPairs(int[] nums) { |
| 200 | +
|
| 201 | + if(nums.length==1&&nums[0]==1) return true; |
| 202 | +
|
| 203 | + Set<Integer> set=new HashSet<>(); |
| 204 | + for (int num : nums) { |
| 205 | + set.add(num); |
| 206 | + } |
| 207 | + nums=new int[set.size()]; |
| 208 | + int index=0; |
| 209 | + for (Integer integer : set) { |
| 210 | + nums[index++]=integer; |
| 211 | + } |
| 212 | +
|
| 213 | + UnionFind uf = new UnionFind(primes.size()); |
| 214 | + int[] count = new int[primes.size()]; |
| 215 | + Map<Integer,Integer> map=new HashMap<>(); |
| 216 | + for (int i = 0; i < nums.length; i++) { |
| 217 | + if (nums[i] == 1) return false; |
| 218 | + for (int j = 0;j < primes.size()&&nums[i]>=primes.get(j); j++) { |
| 219 | + if (nums[i] % primes.get(j) == 0) { |
| 220 | + count[j]++; |
| 221 | + if(!map.containsKey(i)){ |
| 222 | + map.put(i,j); |
| 223 | + }else { |
| 224 | + uf.union(map.get(i),j); |
| 225 | + } |
| 226 | + } |
| 227 | + } |
| 228 | + } |
| 229 | + int group=-1; |
| 230 | + for (int i = 0; i < primes.size(); i++) { |
| 231 | + if(count[i]==0) continue; |
| 232 | + int g = uf.find(i); |
| 233 | + if(group==-1) group=g; |
| 234 | + if(group!=g) return false; |
| 235 | + } |
| 236 | + return true; |
| 237 | + }*/ |
| 238 | + |
| 239 | + |
| 240 | +} |
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