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| 1 | +package class166; |
| 2 | + |
| 3 | +// 连通性离线处理,java版 |
| 4 | +// 测试链接 : https://loj.ac/p/121 |
| 5 | +// 提交以下的code,提交时请把类名改成"Main" |
| 6 | +// 测试平台看似支持java语言,其实无法通过,内存过大跳警告,导致验证失败 |
| 7 | +// 想通过用C++实现,本节课Code06_Connectivity2文件就是C++的实现 |
| 8 | +// 逻辑完全一样,C++实现可以通过全部测试用例 |
| 9 | + |
| 10 | +import java.io.IOException; |
| 11 | +import java.io.InputStream; |
| 12 | +import java.io.OutputStream; |
| 13 | + |
| 14 | +public class Code06_Connectivity1 { |
| 15 | + |
| 16 | + public static int MAXN = 5001; |
| 17 | + public static int MAXM = 500001; |
| 18 | + public static int MAXT = 5000001; |
| 19 | + public static int n, m; |
| 20 | + |
| 21 | + public static int[] op = new int[MAXM]; |
| 22 | + public static int[] a = new int[MAXM]; |
| 23 | + public static int[] b = new int[MAXM]; |
| 24 | + |
| 25 | + public static int[][] last = new int[MAXN][MAXN]; |
| 26 | + |
| 27 | + public static int[] father = new int[MAXN]; |
| 28 | + public static int[] siz = new int[MAXN]; |
| 29 | + public static int[][] rollback = new int[MAXN][2]; |
| 30 | + public static int opsize = 0; |
| 31 | + |
| 32 | + public static int[] head = new int[MAXM << 2]; |
| 33 | + public static int[] next = new int[MAXT]; |
| 34 | + public static int[] tox = new int[MAXT]; |
| 35 | + public static int[] toy = new int[MAXT]; |
| 36 | + public static int cnt = 0; |
| 37 | + |
| 38 | + public static boolean[] ans = new boolean[MAXM]; |
| 39 | + |
| 40 | + public static void addEdge(int i, int x, int y) { |
| 41 | + next[++cnt] = head[i]; |
| 42 | + tox[cnt] = x; |
| 43 | + toy[cnt] = y; |
| 44 | + head[i] = cnt; |
| 45 | + } |
| 46 | + |
| 47 | + public static int find(int i) { |
| 48 | + while (i != father[i]) { |
| 49 | + i = father[i]; |
| 50 | + } |
| 51 | + return i; |
| 52 | + } |
| 53 | + |
| 54 | + public static void union(int x, int y) { |
| 55 | + int fx = find(x); |
| 56 | + int fy = find(y); |
| 57 | + if (siz[fx] < siz[fy]) { |
| 58 | + int tmp = fx; |
| 59 | + fx = fy; |
| 60 | + fy = tmp; |
| 61 | + } |
| 62 | + father[fy] = fx; |
| 63 | + siz[fx] += siz[fy]; |
| 64 | + rollback[++opsize][0] = fx; |
| 65 | + rollback[opsize][1] = fy; |
| 66 | + } |
| 67 | + |
| 68 | + public static void undo() { |
| 69 | + int fx = rollback[opsize][0]; |
| 70 | + int fy = rollback[opsize--][1]; |
| 71 | + father[fy] = fy; |
| 72 | + siz[fx] -= siz[fy]; |
| 73 | + } |
| 74 | + |
| 75 | + public static void add(int jobl, int jobr, int jobx, int joby, int l, int r, int i) { |
| 76 | + if (jobl <= l && r <= jobr) { |
| 77 | + addEdge(i, jobx, joby); |
| 78 | + } else { |
| 79 | + int mid = (l + r) >> 1; |
| 80 | + if (jobl <= mid) { |
| 81 | + add(jobl, jobr, jobx, joby, l, mid, i << 1); |
| 82 | + } |
| 83 | + if (jobr > mid) { |
| 84 | + add(jobl, jobr, jobx, joby, mid + 1, r, i << 1 | 1); |
| 85 | + } |
| 86 | + } |
| 87 | + } |
| 88 | + |
| 89 | + public static void dfs(int l, int r, int i) { |
| 90 | + int unionCnt = 0; |
| 91 | + for (int ei = head[i], x, y, fx, fy; ei > 0; ei = next[ei]) { |
| 92 | + x = tox[ei]; |
| 93 | + y = toy[ei]; |
| 94 | + fx = find(x); |
| 95 | + fy = find(y); |
| 96 | + if (fx != fy) { |
| 97 | + union(fx, fy); |
| 98 | + unionCnt++; |
| 99 | + } |
| 100 | + } |
| 101 | + if (l == r) { |
| 102 | + if (op[l] == 2) { |
| 103 | + ans[l] = find(a[l]) == find(b[l]); |
| 104 | + } |
| 105 | + } else { |
| 106 | + int mid = (l + r) / 2; |
| 107 | + dfs(l, mid, i << 1); |
| 108 | + dfs(mid + 1, r, i << 1 | 1); |
| 109 | + } |
| 110 | + for (int j = 1; j <= unionCnt; j++) { |
| 111 | + undo(); |
| 112 | + } |
| 113 | + } |
| 114 | + |
| 115 | + public static void prepare() { |
| 116 | + for (int i = 1; i <= n; i++) { |
| 117 | + father[i] = i; |
| 118 | + siz[i] = 1; |
| 119 | + } |
| 120 | + for (int i = 1, x, y; i <= m; i++) { |
| 121 | + x = a[i]; |
| 122 | + y = b[i]; |
| 123 | + if (op[i] == 0) { |
| 124 | + last[x][y] = i; |
| 125 | + } else if (op[i] == 1) { |
| 126 | + add(last[x][y], i - 1, x, y, 1, m, 1); |
| 127 | + last[x][y] = 0; |
| 128 | + } |
| 129 | + } |
| 130 | + for (int x = 1; x <= n; x++) { |
| 131 | + for (int y = x + 1; y <= n; y++) { |
| 132 | + if (last[x][y] != 0) { |
| 133 | + add(last[x][y], m, x, y, 1, m, 1); |
| 134 | + } |
| 135 | + } |
| 136 | + } |
| 137 | + } |
| 138 | + |
| 139 | + public static void main(String[] args) { |
| 140 | + FastIO io = new FastIO(System.in, System.out); |
| 141 | + n = io.nextInt(); |
| 142 | + m = io.nextInt(); |
| 143 | + for (int i = 1, x, y, t; i <= m; i++) { |
| 144 | + t = io.nextInt(); |
| 145 | + x = io.nextInt(); |
| 146 | + y = io.nextInt(); |
| 147 | + op[i] = t; |
| 148 | + a[i] = Math.min(x, y); |
| 149 | + b[i] = Math.max(x, y); |
| 150 | + } |
| 151 | + prepare(); |
| 152 | + dfs(1, m, 1); |
| 153 | + for (int i = 1; i <= m; i++) { |
| 154 | + if (op[i] == 2) { |
| 155 | + if (ans[i]) { |
| 156 | + io.write("Y\n"); |
| 157 | + } else { |
| 158 | + io.write("N\n"); |
| 159 | + } |
| 160 | + } |
| 161 | + } |
| 162 | + io.flush(); |
| 163 | + } |
| 164 | + |
| 165 | + // 读写工具类 |
| 166 | + static class FastIO { |
| 167 | + private final InputStream is; |
| 168 | + private final OutputStream os; |
| 169 | + private final byte[] inbuf = new byte[1 << 16]; |
| 170 | + private int lenbuf = 0; |
| 171 | + private int ptrbuf = 0; |
| 172 | + private final StringBuilder outBuf = new StringBuilder(); |
| 173 | + |
| 174 | + public FastIO(InputStream is, OutputStream os) { |
| 175 | + this.is = is; |
| 176 | + this.os = os; |
| 177 | + } |
| 178 | + |
| 179 | + private int readByte() { |
| 180 | + if (ptrbuf >= lenbuf) { |
| 181 | + ptrbuf = 0; |
| 182 | + try { |
| 183 | + lenbuf = is.read(inbuf); |
| 184 | + } catch (IOException e) { |
| 185 | + throw new RuntimeException(e); |
| 186 | + } |
| 187 | + if (lenbuf == -1) { |
| 188 | + return -1; |
| 189 | + } |
| 190 | + } |
| 191 | + return inbuf[ptrbuf++] & 0xff; |
| 192 | + } |
| 193 | + |
| 194 | + private int skip() { |
| 195 | + int b; |
| 196 | + while ((b = readByte()) != -1) { |
| 197 | + if (b > ' ') { |
| 198 | + return b; |
| 199 | + } |
| 200 | + } |
| 201 | + return -1; |
| 202 | + } |
| 203 | + |
| 204 | + public int nextInt() { |
| 205 | + int b = skip(); |
| 206 | + if (b == -1) { |
| 207 | + throw new RuntimeException("No more integers (EOF)"); |
| 208 | + } |
| 209 | + boolean negative = false; |
| 210 | + if (b == '-') { |
| 211 | + negative = true; |
| 212 | + b = readByte(); |
| 213 | + } |
| 214 | + int val = 0; |
| 215 | + while (b >= '0' && b <= '9') { |
| 216 | + val = val * 10 + (b - '0'); |
| 217 | + b = readByte(); |
| 218 | + } |
| 219 | + return negative ? -val : val; |
| 220 | + } |
| 221 | + |
| 222 | + public void write(String s) { |
| 223 | + outBuf.append(s); |
| 224 | + } |
| 225 | + |
| 226 | + public void writeInt(int x) { |
| 227 | + outBuf.append(x); |
| 228 | + } |
| 229 | + |
| 230 | + public void writelnInt(int x) { |
| 231 | + outBuf.append(x).append('\n'); |
| 232 | + } |
| 233 | + |
| 234 | + public void flush() { |
| 235 | + try { |
| 236 | + os.write(outBuf.toString().getBytes()); |
| 237 | + os.flush(); |
| 238 | + outBuf.setLength(0); |
| 239 | + } catch (IOException e) { |
| 240 | + throw new RuntimeException(e); |
| 241 | + } |
| 242 | + } |
| 243 | + } |
| 244 | + |
| 245 | +} |
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