| 19039 | 2025-11-18 16:29:30 | zhuyi | Páros részgráfok | cpp17 | Time limit exceeded 27/100 | 2.598s | 5336 KiB |
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
class UnionFind {
private:
vector<int> parent;
vector<int> parity; // paritás a gyökérhez képest
public:
UnionFind(int n) : parent(n + 1), parity(n + 1, 0) {
for (int i = 0; i <= n; i++) {
parent[i] = i;
}
}
pair<int, int> find(int x) {
if (parent[x] == x) {
return {x, 0};
}
auto [root, par] = find(parent[x]);
parent[x] = root;
parity[x] ^= par;
return {root, parity[x]};
}
// Visszatér true-val, ha sikerült egyesíteni (nem volt páratlan kör)
// Visszatér false-szal, ha páratlan kör keletkezett
bool unite(int a, int b) {
auto [root_a, par_a] = find(a);
auto [root_b, par_b] = find(b);
if (root_a == root_b) {
// Már ugyanabban a komponensben vannak
// Páratlan kör van, ha a paritásuk azonos
return par_a != par_b;
}
// Egyesítjük a két komponenst
parent[root_b] = root_a;
parity[root_b] = par_a ^ par_b ^ 1;
return true;
}
void reset(int n) {
for (int i = 0; i <= n; i++) {
parent[i] = i;
parity[i] = 0;
}
}
};
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int N, M;
cin >> N >> M;
vector<pair<int, int>> edges(M);
for (int i = 0; i < M; i++) {
cin >> edges[i].first >> edges[i].second;
}
long long result = 0;
int l = 0;
for (int r = 0; r < M; r++) {
// Próbáljuk meg hozzáadni az r-edik élt
// Újraépítjük a Union-Find-ot az [l, r] intervallumra
bool has_odd_cycle = false;
while (l <= r) {
UnionFind uf(N);
has_odd_cycle = false;
// Építsük fel a gráfot az [l, r] élekkel
for (int i = l; i <= r; i++) {
if (!uf.unite(edges[i].first, edges[i].second)) {
has_odd_cycle = true;
break;
}
}
if (!has_odd_cycle) {
// PG(l, r) páros gráf
break;
} else {
// Páratlan kör van, növeljük l-et
l++;
}
}
if (l <= r) {
// [l, r] intervallum páros, így [l, r], [l+1, r], ..., [r, r] mind páros
result += (r - l + 1);
}
}
cout << result << endl;
return 0;
}
| Subtask | Sum | Test | Verdict | Time | Memory | ||
|---|---|---|---|---|---|---|---|
| subtask1 | 0/0 | ||||||
| 1 | Accepted | 1ms | 316 KiB | ||||
| 2 | Accepted | 1ms | 316 KiB | ||||
| subtask2 | 10/10 | ||||||
| 3 | Accepted | 1ms | 316 KiB | ||||
| 4 | Accepted | 1ms | 316 KiB | ||||
| 5 | Accepted | 1ms | 316 KiB | ||||
| 6 | Accepted | 1ms | 508 KiB | ||||
| 7 | Accepted | 1ms | 316 KiB | ||||
| 8 | Accepted | 1ms | 316 KiB | ||||
| 9 | Accepted | 1ms | 316 KiB | ||||
| 10 | Accepted | 1ms | 316 KiB | ||||
| 11 | Accepted | 1ms | 316 KiB | ||||
| 12 | Accepted | 1ms | 316 KiB | ||||
| subtask3 | 7/7 | ||||||
| 13 | Accepted | 1ms | 316 KiB | ||||
| 14 | Accepted | 1ms | 316 KiB | ||||
| 15 | Accepted | 1ms | 316 KiB | ||||
| 16 | Accepted | 1ms | 508 KiB | ||||
| 17 | Accepted | 1ms | 316 KiB | ||||
| 18 | Accepted | 1ms | 316 KiB | ||||
| 19 | Accepted | 1ms | 316 KiB | ||||
| 20 | Accepted | 1ms | 316 KiB | ||||
| 21 | Accepted | 1ms | 316 KiB | ||||
| 22 | Accepted | 1ms | 316 KiB | ||||
| 23 | Accepted | 1ms | 316 KiB | ||||
| 24 | Accepted | 1ms | 316 KiB | ||||
| 25 | Accepted | 1ms | 316 KiB | ||||
| 26 | Accepted | 1ms | 316 KiB | ||||
| 27 | Accepted | 1ms | 316 KiB | ||||
| 28 | Accepted | 1ms | 316 KiB | ||||
| 29 | Accepted | 1ms | 316 KiB | ||||
| 30 | Accepted | 1ms | 316 KiB | ||||
| 31 | Accepted | 2ms | 316 KiB | ||||
| 32 | Accepted | 1ms | 316 KiB | ||||
| subtask4 | 10/10 | ||||||
| 33 | Accepted | 1ms | 316 KiB | ||||
| 34 | Accepted | 1ms | 316 KiB | ||||
| 35 | Accepted | 1ms | 316 KiB | ||||
| 36 | Accepted | 1ms | 508 KiB | ||||
| 37 | Accepted | 1ms | 316 KiB | ||||
| 38 | Accepted | 1ms | 316 KiB | ||||
| 39 | Accepted | 1ms | 316 KiB | ||||
| 40 | Accepted | 1ms | 316 KiB | ||||
| 41 | Accepted | 1ms | 316 KiB | ||||
| 42 | Accepted | 1ms | 316 KiB | ||||
| 43 | Accepted | 1ms | 316 KiB | ||||
| 44 | Accepted | 1ms | 316 KiB | ||||
| 45 | Accepted | 1ms | 316 KiB | ||||
| 46 | Accepted | 1ms | 316 KiB | ||||
| 47 | Accepted | 1ms | 316 KiB | ||||
| 48 | Accepted | 1ms | 316 KiB | ||||
| 49 | Accepted | 1ms | 316 KiB | ||||
| 50 | Accepted | 1ms | 316 KiB | ||||
| 51 | Accepted | 2ms | 316 KiB | ||||
| 52 | Accepted | 1ms | 316 KiB | ||||
| 53 | Accepted | 4ms | 316 KiB | ||||
| 54 | Accepted | 6ms | 444 KiB | ||||
| 55 | Accepted | 3ms | 316 KiB | ||||
| 56 | Accepted | 4ms | 500 KiB | ||||
| 57 | Accepted | 6ms | 440 KiB | ||||
| 58 | Accepted | 4ms | 316 KiB | ||||
| 59 | Accepted | 6ms | 324 KiB | ||||
| 60 | Accepted | 2ms | 440 KiB | ||||
| 61 | Accepted | 2ms | 316 KiB | ||||
| 62 | Accepted | 3ms | 316 KiB | ||||
| subtask5 | 0/20 | ||||||
| 63 | Accepted | 1ms | 316 KiB | ||||
| 64 | Accepted | 1ms | 316 KiB | ||||
| 65 | Accepted | 1ms | 316 KiB | ||||
| 66 | Accepted | 1ms | 508 KiB | ||||
| 67 | Accepted | 1ms | 316 KiB | ||||
| 68 | Accepted | 1ms | 316 KiB | ||||
| 69 | Accepted | 1ms | 316 KiB | ||||
| 70 | Accepted | 1ms | 316 KiB | ||||
| 71 | Accepted | 1ms | 316 KiB | ||||
| 72 | Accepted | 1ms | 316 KiB | ||||
| 73 | Accepted | 1ms | 316 KiB | ||||
| 74 | Accepted | 1ms | 316 KiB | ||||
| 75 | Accepted | 1ms | 316 KiB | ||||
| 76 | Accepted | 1ms | 316 KiB | ||||
| 77 | Accepted | 1ms | 316 KiB | ||||
| 78 | Accepted | 1ms | 316 KiB | ||||
| 79 | Accepted | 1ms | 316 KiB | ||||
| 80 | Accepted | 1ms | 316 KiB | ||||
| 81 | Accepted | 2ms | 316 KiB | ||||
| 82 | Accepted | 1ms | 316 KiB | ||||
| 83 | Accepted | 4ms | 316 KiB | ||||
| 84 | Accepted | 6ms | 444 KiB | ||||
| 85 | Accepted | 3ms | 316 KiB | ||||
| 86 | Accepted | 4ms | 500 KiB | ||||
| 87 | Accepted | 6ms | 440 KiB | ||||
| 88 | Accepted | 4ms | 316 KiB | ||||
| 89 | Accepted | 6ms | 324 KiB | ||||
| 90 | Accepted | 2ms | 440 KiB | ||||
| 91 | Accepted | 2ms | 316 KiB | ||||
| 92 | Accepted | 3ms | 316 KiB | ||||
| 93 | Time limit exceeded | 2.598s | 668 KiB | ||||
| 94 | Time limit exceeded | 2.575s | 1040 KiB | ||||
| 95 | Time limit exceeded | 2.552s | 1140 KiB | ||||
| 96 | Time limit exceeded | 2.572s | 1036 KiB | ||||
| 97 | Time limit exceeded | 2.536s | 1100 KiB | ||||
| 98 | Time limit exceeded | 2.553s | 1140 KiB | ||||
| 99 | Time limit exceeded | 2.553s | 1036 KiB | ||||
| 100 | Time limit exceeded | 2.555s | 1252 KiB | ||||
| 101 | Time limit exceeded | 2.582s | 564 KiB | ||||
| 102 | Time limit exceeded | 2.556s | 1100 KiB | ||||
| subtask6 | 0/14 | ||||||
| 103 | Accepted | 1ms | 316 KiB | ||||
| 104 | Accepted | 1ms | 316 KiB | ||||
| 105 | Accepted | 1ms | 316 KiB | ||||
| 106 | Accepted | 1ms | 508 KiB | ||||
| 107 | Accepted | 1ms | 316 KiB | ||||
| 108 | Accepted | 1ms | 316 KiB | ||||
| 109 | Accepted | 1ms | 316 KiB | ||||
| 110 | Accepted | 1ms | 316 KiB | ||||
| 111 | Accepted | 1ms | 316 KiB | ||||
| 112 | Accepted | 1ms | 316 KiB | ||||
| 113 | Accepted | 1ms | 316 KiB | ||||
| 114 | Accepted | 1ms | 316 KiB | ||||
| 115 | Accepted | 1ms | 316 KiB | ||||
| 116 | Accepted | 1ms | 316 KiB | ||||
| 117 | Accepted | 1ms | 316 KiB | ||||
| 118 | Accepted | 1ms | 316 KiB | ||||
| 119 | Accepted | 1ms | 316 KiB | ||||
| 120 | Accepted | 1ms | 316 KiB | ||||
| 121 | Accepted | 2ms | 316 KiB | ||||
| 122 | Accepted | 1ms | 316 KiB | ||||
| 123 | Accepted | 4ms | 316 KiB | ||||
| 124 | Accepted | 6ms | 444 KiB | ||||
| 125 | Accepted | 3ms | 316 KiB | ||||
| 126 | Accepted | 4ms | 500 KiB | ||||
| 127 | Accepted | 6ms | 440 KiB | ||||
| 128 | Accepted | 4ms | 316 KiB | ||||
| 129 | Accepted | 6ms | 324 KiB | ||||
| 130 | Accepted | 2ms | 440 KiB | ||||
| 131 | Accepted | 2ms | 316 KiB | ||||
| 132 | Accepted | 3ms | 316 KiB | ||||
| 133 | Time limit exceeded | 2.598s | 668 KiB | ||||
| 134 | Time limit exceeded | 2.575s | 1040 KiB | ||||
| 135 | Time limit exceeded | 2.552s | 1140 KiB | ||||
| 136 | Time limit exceeded | 2.572s | 1036 KiB | ||||
| 137 | Time limit exceeded | 2.536s | 1100 KiB | ||||
| 138 | Time limit exceeded | 2.553s | 1140 KiB | ||||
| 139 | Time limit exceeded | 2.553s | 1036 KiB | ||||
| 140 | Time limit exceeded | 2.555s | 1252 KiB | ||||
| 141 | Time limit exceeded | 2.582s | 564 KiB | ||||
| 142 | Time limit exceeded | 2.556s | 1100 KiB | ||||
| 143 | Time limit exceeded | 2.548s | 1360 KiB | ||||
| 144 | Time limit exceeded | 2.565s | 1392 KiB | ||||
| 145 | Time limit exceeded | 2.568s | 1392 KiB | ||||
| 146 | Time limit exceeded | 2.546s | 1268 KiB | ||||
| 147 | Time limit exceeded | 2.571s | 1404 KiB | ||||
| 148 | Time limit exceeded | 2.573s | 1560 KiB | ||||
| 149 | Time limit exceeded | 2.575s | 1472 KiB | ||||
| 150 | Time limit exceeded | 2.573s | 1388 KiB | ||||
| 151 | Time limit exceeded | 2.572s | 1800 KiB | ||||
| 152 | Time limit exceeded | 2.555s | 1248 KiB | ||||
| subtask7 | 0/20 | ||||||
| 153 | Accepted | 1ms | 316 KiB | ||||
| 154 | Accepted | 1ms | 316 KiB | ||||
| 155 | Accepted | 1ms | 316 KiB | ||||
| 156 | Accepted | 1ms | 508 KiB | ||||
| 157 | Accepted | 1ms | 316 KiB | ||||
| 158 | Accepted | 1ms | 316 KiB | ||||
| 159 | Accepted | 1ms | 316 KiB | ||||
| 160 | Accepted | 1ms | 316 KiB | ||||
| 161 | Accepted | 1ms | 316 KiB | ||||
| 162 | Accepted | 1ms | 316 KiB | ||||
| 163 | Accepted | 1ms | 316 KiB | ||||
| 164 | Accepted | 1ms | 316 KiB | ||||
| 165 | Accepted | 1ms | 316 KiB | ||||
| 166 | Accepted | 1ms | 316 KiB | ||||
| 167 | Accepted | 1ms | 316 KiB | ||||
| 168 | Accepted | 1ms | 316 KiB | ||||
| 169 | Accepted | 1ms | 316 KiB | ||||
| 170 | Accepted | 1ms | 316 KiB | ||||
| 171 | Accepted | 2ms | 316 KiB | ||||
| 172 | Accepted | 1ms | 316 KiB | ||||
| 173 | Accepted | 4ms | 316 KiB | ||||
| 174 | Accepted | 6ms | 444 KiB | ||||
| 175 | Accepted | 3ms | 316 KiB | ||||
| 176 | Accepted | 4ms | 500 KiB | ||||
| 177 | Accepted | 6ms | 440 KiB | ||||
| 178 | Accepted | 4ms | 316 KiB | ||||
| 179 | Accepted | 6ms | 324 KiB | ||||
| 180 | Accepted | 2ms | 440 KiB | ||||
| 181 | Accepted | 2ms | 316 KiB | ||||
| 182 | Accepted | 3ms | 316 KiB | ||||
| 183 | Time limit exceeded | 2.598s | 668 KiB | ||||
| 184 | Time limit exceeded | 2.575s | 1040 KiB | ||||
| 185 | Time limit exceeded | 2.552s | 1140 KiB | ||||
| 186 | Time limit exceeded | 2.572s | 1036 KiB | ||||
| 187 | Time limit exceeded | 2.536s | 1100 KiB | ||||
| 188 | Time limit exceeded | 2.553s | 1140 KiB | ||||
| 189 | Time limit exceeded | 2.553s | 1036 KiB | ||||
| 190 | Time limit exceeded | 2.555s | 1252 KiB | ||||
| 191 | Time limit exceeded | 2.582s | 564 KiB | ||||
| 192 | Time limit exceeded | 2.556s | 1100 KiB | ||||
| 193 | Time limit exceeded | 2.548s | 1360 KiB | ||||
| 194 | Time limit exceeded | 2.565s | 1392 KiB | ||||
| 195 | Time limit exceeded | 2.568s | 1392 KiB | ||||
| 196 | Time limit exceeded | 2.546s | 1268 KiB | ||||
| 197 | Time limit exceeded | 2.571s | 1404 KiB | ||||
| 198 | Time limit exceeded | 2.573s | 1560 KiB | ||||
| 199 | Time limit exceeded | 2.575s | 1472 KiB | ||||
| 200 | Time limit exceeded | 2.573s | 1388 KiB | ||||
| 201 | Time limit exceeded | 2.572s | 1800 KiB | ||||
| 202 | Time limit exceeded | 2.555s | 1248 KiB | ||||
| 203 | Time limit exceeded | 2.562s | 1636 KiB | ||||
| 204 | Time limit exceeded | 2.575s | 2268 KiB | ||||
| 205 | Time limit exceeded | 2.575s | 2208 KiB | ||||
| 206 | Time limit exceeded | 2.563s | 1904 KiB | ||||
| 207 | Time limit exceeded | 2.572s | 2016 KiB | ||||
| 208 | Time limit exceeded | 2.575s | 2004 KiB | ||||
| 209 | Time limit exceeded | 2.575s | 2008 KiB | ||||
| 210 | Time limit exceeded | 2.575s | 2100 KiB | ||||
| 211 | Time limit exceeded | 2.573s | 2192 KiB | ||||
| 212 | Time limit exceeded | 2.566s | 1844 KiB | ||||
| subtask8 | 0/19 | ||||||
| 213 | Accepted | 1ms | 500 KiB | ||||
| 214 | Accepted | 1ms | 316 KiB | ||||
| 215 | Accepted | 1ms | 316 KiB | ||||
| 216 | Accepted | 1ms | 316 KiB | ||||
| 217 | Accepted | 1ms | 316 KiB | ||||
| 218 | Accepted | 1ms | 508 KiB | ||||
| 219 | Accepted | 1ms | 316 KiB | ||||
| 220 | Accepted | 1ms | 316 KiB | ||||
| 221 | Accepted | 1ms | 316 KiB | ||||
| 222 | Accepted | 1ms | 316 KiB | ||||
| 223 | Accepted | 1ms | 316 KiB | ||||
| 224 | Accepted | 1ms | 316 KiB | ||||
| 225 | Accepted | 1ms | 316 KiB | ||||
| 226 | Accepted | 1ms | 316 KiB | ||||
| 227 | Accepted | 1ms | 316 KiB | ||||
| 228 | Accepted | 1ms | 316 KiB | ||||
| 229 | Accepted | 1ms | 316 KiB | ||||
| 230 | Accepted | 1ms | 316 KiB | ||||
| 231 | Accepted | 1ms | 316 KiB | ||||
| 232 | Accepted | 1ms | 316 KiB | ||||
| 233 | Accepted | 2ms | 316 KiB | ||||
| 234 | Accepted | 1ms | 316 KiB | ||||
| 235 | Accepted | 4ms | 316 KiB | ||||
| 236 | Accepted | 6ms | 444 KiB | ||||
| 237 | Accepted | 3ms | 316 KiB | ||||
| 238 | Accepted | 4ms | 500 KiB | ||||
| 239 | Accepted | 6ms | 440 KiB | ||||
| 240 | Accepted | 4ms | 316 KiB | ||||
| 241 | Accepted | 6ms | 324 KiB | ||||
| 242 | Accepted | 2ms | 440 KiB | ||||
| 243 | Accepted | 2ms | 316 KiB | ||||
| 244 | Accepted | 3ms | 316 KiB | ||||
| 245 | Time limit exceeded | 2.598s | 668 KiB | ||||
| 246 | Time limit exceeded | 2.575s | 1040 KiB | ||||
| 247 | Time limit exceeded | 2.552s | 1140 KiB | ||||
| 248 | Time limit exceeded | 2.572s | 1036 KiB | ||||
| 249 | Time limit exceeded | 2.536s | 1100 KiB | ||||
| 250 | Time limit exceeded | 2.553s | 1140 KiB | ||||
| 251 | Time limit exceeded | 2.553s | 1036 KiB | ||||
| 252 | Time limit exceeded | 2.555s | 1252 KiB | ||||
| 253 | Time limit exceeded | 2.582s | 564 KiB | ||||
| 254 | Time limit exceeded | 2.556s | 1100 KiB | ||||
| 255 | Time limit exceeded | 2.548s | 1360 KiB | ||||
| 256 | Time limit exceeded | 2.565s | 1392 KiB | ||||
| 257 | Time limit exceeded | 2.568s | 1392 KiB | ||||
| 258 | Time limit exceeded | 2.546s | 1268 KiB | ||||
| 259 | Time limit exceeded | 2.571s | 1404 KiB | ||||
| 260 | Time limit exceeded | 2.573s | 1560 KiB | ||||
| 261 | Time limit exceeded | 2.575s | 1472 KiB | ||||
| 262 | Time limit exceeded | 2.573s | 1388 KiB | ||||
| 263 | Time limit exceeded | 2.572s | 1800 KiB | ||||
| 264 | Time limit exceeded | 2.555s | 1248 KiB | ||||
| 265 | Time limit exceeded | 2.562s | 1636 KiB | ||||
| 266 | Time limit exceeded | 2.575s | 2268 KiB | ||||
| 267 | Time limit exceeded | 2.575s | 2208 KiB | ||||
| 268 | Time limit exceeded | 2.563s | 1904 KiB | ||||
| 269 | Time limit exceeded | 2.572s | 2016 KiB | ||||
| 270 | Time limit exceeded | 2.575s | 2004 KiB | ||||
| 271 | Time limit exceeded | 2.575s | 2008 KiB | ||||
| 272 | Time limit exceeded | 2.575s | 2100 KiB | ||||
| 273 | Time limit exceeded | 2.573s | 2192 KiB | ||||
| 274 | Time limit exceeded | 2.566s | 1844 KiB | ||||
| 275 | Time limit exceeded | 2.573s | 5128 KiB | ||||
| 276 | Time limit exceeded | 2.575s | 5136 KiB | ||||
| 277 | Time limit exceeded | 2.598s | 5136 KiB | ||||
| 278 | Time limit exceeded | 2.598s | 5136 KiB | ||||
| 279 | Time limit exceeded | 2.578s | 5140 KiB | ||||
| 280 | Time limit exceeded | 2.578s | 5304 KiB | ||||
| 281 | Time limit exceeded | 2.598s | 5132 KiB | ||||
| 282 | Time limit exceeded | 2.598s | 5336 KiB | ||||
| 283 | Time limit exceeded | 2.588s | 5140 KiB | ||||
| 284 | Time limit exceeded | 2.588s | 5232 KiB | ||||