#include <bits/stdc++.h> using namespace std; typedef long long lld; typedef long double real_t; #define ff first #define ss second #define mp make_pair #define pb push_back constexpr int N = 1 << 18; int n, v0, v1, v2, v3; real_t t0, t1, t2, t3; real_t T = 0.0; int pos = 0; char a[3][N]; int last_car = 0; real_t eps = 1e-9; bool equals(real_t x, real_t y) { return (abs(x - y) < eps); } int next_car(int p) { for (int i = p; i < n; ++i) { if (a[0][i] == '#') return i; } return N; // TODO: ZMIENIĆ STAŁĄ } int block(int p) { int res = 0; while (a[0][p - res] == '#') { ++res; } return res; } real_t overtake1(int l) { real_t mv = T * (v1 - v2); if (equals(mv, round(mv))) { int asked = pos - (int)round(mv); if (asked >= n) { return t0 * (real_t)l; } if (asked <= 0) { int nxt = next_car(0); real_t meet = (real_t)(nxt - asked) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return required; return meet + ((required - meet) * (real_t)v0 / (real_t)v1); } int blk = block(asked); if (blk == 0) { int nxt = next_car(asked); real_t meet = (real_t)(nxt - asked) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return required; return meet + ((required - meet) * (real_t)v0 / (real_t)v1); } return (real_t)blk / (real_t)(v1 - v2) + (real_t)l * t1; } ////////////////////////////////////////////////////////////////////////////////// int asked = pos - (int)ceil(mv); // asked oraz asked + 1 real_t dif = ceil(mv) - mv; if (asked >= n) { return t0 * (real_t)l; } if (asked < 0) { int nxt = next_car(0); real_t meet = ((real_t)(nxt - asked) - dif) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return required; return meet + ((required - meet) * (real_t)v0 / (real_t)v1); } if (a[0][asked] == '|' && a[0][asked + 1] == '|') { int nxt = next_car(asked); real_t meet = (real_t)(nxt - asked) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return required; return meet + ((required - meet) * (real_t)v0 / (real_t)v1); } real_t wait = dif / (real_t)(v1 - v2); int blk = block(asked); if (blk == 0) { int nxt = next_car(asked); real_t meet = (real_t)(nxt - asked) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return wait + required; return wait + meet + ((required - meet) * (real_t)v0 / (real_t)v1); } return wait + ((real_t)blk / (real_t)(v1 - v2)) + ((real_t)l * t1); } // chcemy szukać takich samochodów które są conajmniej na pozycji x // i mają przed sobą conajmniej y miejsca wolnego przed sobą // gdzie x to jest takie miejsce że nasz samochód dociera tam // natychmiast po wyprzedzeniu środkowych samochodów // NAJPIERW ODSTĘP POTEM POZYCJA set<pair<real_t, real_t>> brum; real_t last_slow; // ma być pozycją wolnego miejsca za najdalszym samochodem !!! real_t overtake3(int l) { real_t curr = (real_t)pos + T * (v2 - v3); real_t overtake_time = (real_t)l / (real_t)(v0 - v2); real_t free_space = overtake_time * (v0 - v3) + 1.0; real_t closest_opponent = curr + free_space; auto opponent = brum.lower_bound(mp(free_space, closest_opponent)); while (opponent != brum.end() && opponent->ss < closest_opponent) { brum.erase(opponent); opponent = brum.lower_bound(mp(free_space, closest_opponent)); } real_t beg, wait = 0.0; if (opponent != brum.end()) { beg = opponent->ss - opponent->ff; wait = max(0.0l, beg - curr) * (real_t)(v2 - v3); } else { wait = max(0.0l, last_slow - curr) * (real_t)(v2 - v3); } return wait + overtake_time; } real_t last_fast; int main() { cerr << setprecision(10); scanf("%d%d%d%d%d", &n, &v0, &v1, &v2, &v3); t0 = 1.0 / (real_t)v0; t1 = 1.0 / (real_t)v1; t2 = 1.0 / (real_t)v2; t3 = 1.0 / (real_t)v3; scanf(" %s", a[0]); scanf(" %s", a[1]); scanf(" %s", a[2]); a[2][0] = '.'; if (a[1][n - 1] == '#') { a[0][n] = '.'; a[1][n] = '.'; a[2][n] = '.'; ++n; } last_slow = -1.0l; last_car = -1.0l; last_fast = -1.0l; for (int i = 0; i < n; ++i) { if (a[1][i] == '#') last_car = i; if (a[0][i] == '#') last_fast = i; if (a[2][i] == '#') { if (last_slow == -1.0l) { brum.insert(mp(1e9l, (real_t)i)); } else { brum.insert(mp((real_t)i - last_slow, (real_t)i)); } last_slow = (real_t)i + 1.0l; } } while (pos <= last_car) { while (a[1][pos + 1] == '.') { ++pos; T += t0; } // l to długość kolumny razem z Karolem int l = 1; while (a[1][pos + l] == '#') { ++l; } real_t overtake_time = min(overtake1(l), overtake3(l)); //cerr << "moment: " << T << " pozycja: " << pos << " do wyprzedzenia: " << l << endl; //cerr << "wyprzedzanie wolne: " << overtake1(l) << endl; //cerr << "wyprzedzanie szybkie: " << overtake3(l) << endl; //cerr << "wybrałem: " << overtake_time << endl; T += overtake_time; pos += l; } real_t mv = T * (v1 - v2); real_t wait1 = max(0.0l, last_fast - ((real_t)pos - mv)) / (v0 - v1); mv = T * (v2 - v3); real_t wait3 = max(0.0l, last_slow - ((real_t)pos + mv)) / (v0 - v3); T += max(wait1, wait3); cout << setprecision(10) << T << endl; return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 | #include <bits/stdc++.h> using namespace std; typedef long long lld; typedef long double real_t; #define ff first #define ss second #define mp make_pair #define pb push_back constexpr int N = 1 << 18; int n, v0, v1, v2, v3; real_t t0, t1, t2, t3; real_t T = 0.0; int pos = 0; char a[3][N]; int last_car = 0; real_t eps = 1e-9; bool equals(real_t x, real_t y) { return (abs(x - y) < eps); } int next_car(int p) { for (int i = p; i < n; ++i) { if (a[0][i] == '#') return i; } return N; // TODO: ZMIENIĆ STAŁĄ } int block(int p) { int res = 0; while (a[0][p - res] == '#') { ++res; } return res; } real_t overtake1(int l) { real_t mv = T * (v1 - v2); if (equals(mv, round(mv))) { int asked = pos - (int)round(mv); if (asked >= n) { return t0 * (real_t)l; } if (asked <= 0) { int nxt = next_car(0); real_t meet = (real_t)(nxt - asked) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return required; return meet + ((required - meet) * (real_t)v0 / (real_t)v1); } int blk = block(asked); if (blk == 0) { int nxt = next_car(asked); real_t meet = (real_t)(nxt - asked) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return required; return meet + ((required - meet) * (real_t)v0 / (real_t)v1); } return (real_t)blk / (real_t)(v1 - v2) + (real_t)l * t1; } ////////////////////////////////////////////////////////////////////////////////// int asked = pos - (int)ceil(mv); // asked oraz asked + 1 real_t dif = ceil(mv) - mv; if (asked >= n) { return t0 * (real_t)l; } if (asked < 0) { int nxt = next_car(0); real_t meet = ((real_t)(nxt - asked) - dif) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return required; return meet + ((required - meet) * (real_t)v0 / (real_t)v1); } if (a[0][asked] == '|' && a[0][asked + 1] == '|') { int nxt = next_car(asked); real_t meet = (real_t)(nxt - asked) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return required; return meet + ((required - meet) * (real_t)v0 / (real_t)v1); } real_t wait = dif / (real_t)(v1 - v2); int blk = block(asked); if (blk == 0) { int nxt = next_car(asked); real_t meet = (real_t)(nxt - asked) / (real_t)(v0 - v1); real_t required = t0 * (real_t)l; if (required <= meet) return wait + required; return wait + meet + ((required - meet) * (real_t)v0 / (real_t)v1); } return wait + ((real_t)blk / (real_t)(v1 - v2)) + ((real_t)l * t1); } // chcemy szukać takich samochodów które są conajmniej na pozycji x // i mają przed sobą conajmniej y miejsca wolnego przed sobą // gdzie x to jest takie miejsce że nasz samochód dociera tam // natychmiast po wyprzedzeniu środkowych samochodów // NAJPIERW ODSTĘP POTEM POZYCJA set<pair<real_t, real_t>> brum; real_t last_slow; // ma być pozycją wolnego miejsca za najdalszym samochodem !!! real_t overtake3(int l) { real_t curr = (real_t)pos + T * (v2 - v3); real_t overtake_time = (real_t)l / (real_t)(v0 - v2); real_t free_space = overtake_time * (v0 - v3) + 1.0; real_t closest_opponent = curr + free_space; auto opponent = brum.lower_bound(mp(free_space, closest_opponent)); while (opponent != brum.end() && opponent->ss < closest_opponent) { brum.erase(opponent); opponent = brum.lower_bound(mp(free_space, closest_opponent)); } real_t beg, wait = 0.0; if (opponent != brum.end()) { beg = opponent->ss - opponent->ff; wait = max(0.0l, beg - curr) * (real_t)(v2 - v3); } else { wait = max(0.0l, last_slow - curr) * (real_t)(v2 - v3); } return wait + overtake_time; } real_t last_fast; int main() { cerr << setprecision(10); scanf("%d%d%d%d%d", &n, &v0, &v1, &v2, &v3); t0 = 1.0 / (real_t)v0; t1 = 1.0 / (real_t)v1; t2 = 1.0 / (real_t)v2; t3 = 1.0 / (real_t)v3; scanf(" %s", a[0]); scanf(" %s", a[1]); scanf(" %s", a[2]); a[2][0] = '.'; if (a[1][n - 1] == '#') { a[0][n] = '.'; a[1][n] = '.'; a[2][n] = '.'; ++n; } last_slow = -1.0l; last_car = -1.0l; last_fast = -1.0l; for (int i = 0; i < n; ++i) { if (a[1][i] == '#') last_car = i; if (a[0][i] == '#') last_fast = i; if (a[2][i] == '#') { if (last_slow == -1.0l) { brum.insert(mp(1e9l, (real_t)i)); } else { brum.insert(mp((real_t)i - last_slow, (real_t)i)); } last_slow = (real_t)i + 1.0l; } } while (pos <= last_car) { while (a[1][pos + 1] == '.') { ++pos; T += t0; } // l to długość kolumny razem z Karolem int l = 1; while (a[1][pos + l] == '#') { ++l; } real_t overtake_time = min(overtake1(l), overtake3(l)); //cerr << "moment: " << T << " pozycja: " << pos << " do wyprzedzenia: " << l << endl; //cerr << "wyprzedzanie wolne: " << overtake1(l) << endl; //cerr << "wyprzedzanie szybkie: " << overtake3(l) << endl; //cerr << "wybrałem: " << overtake_time << endl; T += overtake_time; pos += l; } real_t mv = T * (v1 - v2); real_t wait1 = max(0.0l, last_fast - ((real_t)pos - mv)) / (v0 - v1); mv = T * (v2 - v3); real_t wait3 = max(0.0l, last_slow - ((real_t)pos + mv)) / (v0 - v3); T += max(wait1, wait3); cout << setprecision(10) << T << endl; return 0; } |