#include <bits/stdc++.h> using namespace std; #define sim template < class c #define ris return * this #define dor > debug & operator << #define eni(x) sim > typename \ enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef LOCAL ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair < b, c > d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c&) { ris; } #endif }; #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " // debug & operator << (debug & dd, P p) { dd << "(" << p.x << ", " << p.y << ")"; return dd; } // ALCS, https://www.sciencedirect.com/science/article/pii/S0166218X07002727 vector<vector<int>> get_ih(string a, string b) { int na = a.length(); int nb = b.length(); vector<vector<int>> ih(na + 1, vector<int>(nb + 1)); auto iv = ih; for(int j = 0; j <= nb; ++j) { ih[0][j] = j; } for(int l = 0; l <= na; ++l) { iv[l][0] = 0; } for(int l = 1; l <= na; ++l) { for(int j = 1; j <= nb; ++j) { if(a[l-1] != b[j-1]) { ih[l][j] = max(iv[l][j-1], ih[l-1][j]); iv[l][j] = min(iv[l][j-1], ih[l-1][j]); } else { ih[l][j] = iv[l][j-1]; iv[l][j] = ih[l-1][j]; } } } return ih; } int one[3005], two[3005]; int last_size; void get_row(int A, int b_high, const vector<vector<int>>& ih, int ans[]) { // a[0..A] with b[low..] A++; b_high++; for(int i = 0; i <= b_high; ++i) { ans[i] = 0; } for(int j = 1; j <= b_high; ++j) { int L = ih[A][j]; int R = j - 1; if(L <= R) { ans[L]++; if(R + 1 < b_high) { ans[R+1]--; } // for(int i = L; i <= R; ++i) { // ans[i]++; // } } // in[A][j] .. j - 1 } for(int i = 1; i < b_high; ++i) { ans[i] += ans[i-1]; } /*for(int b_low = 0; b_low < b_high; ++b_low) { int pref = 0; for(int j = b_low + 1; j <= b_high; ++j) { if(b_low >= ih[A][j]) { pref++; } } ans.push_back(pref); }*/ ans[b_high] = 0; last_size = b_high + 1; reverse(ans, ans + last_size); // reverse(ans.begin(), ans.end()); // return ans; // return answer; }; string read() { static char s[3005]; scanf("%s", s); return string(s); } struct Query { int la, ra, lb, rb, id; void read(int _id) { id = _id; scanf("%d%d%d%d", &la, &ra, &lb, &rb); la--; ra--; lb--; rb--; } }; vector<int> print; void rec_solve(string a, string b, vector<Query>& queries) { if(/*(int) a.length() < 5 && */ queries.empty()) { return; } if(a.length() < b.length()) { swap(a, b); for(Query& query : queries) { swap(query.la, query.lb); swap(query.ra, query.rb); } } int na = a.length(); int nb = b.length(); const int mid = na / 2; string a_left = a.substr(0, mid); string a_right = a.substr(mid); // debug() << imie(a_left) imie(a_right); vector<vector<int>> ih_right = get_ih(a_right, b); reverse(a_left.begin(), a_left.end()); reverse(b.begin(), b.end()); vector<vector<int>> ih_left = get_ih(a_left, b); // vector<vector<int>> ih_right = get_ih(a_right, b); reverse(a_left.begin(), a_left.end()); reverse(b.begin(), b.end()); vector<Query> left_queries, right_queries; for(Query query : queries) { int la = query.la, ra = query.ra, lb = query.lb, rb = query.rb; if((ra - la + 1) * (rb - lb + 1) <= 1000 || (int) queries.size() <= 10) { int len_a = ra - la + 1; int len_b = rb - lb + 1; vector<int> dp(len_b + 1); for(int i = 0; i < len_a; ++i) { for(int j = len_b - 1; j >= 0; --j) { if(a[la+i] == b[lb+j]) { dp[j+1] = dp[j] + 1; } } for(int j = 0; j < len_b; ++j) { dp[j+1] = max(dp[j+1], dp[j]); } } print[query.id] = dp.back(); continue; } if(ra < mid) { left_queries.push_back(query); continue; } if(la >= mid) { query.la -= mid; query.ra -= mid; right_queries.push_back(query); continue; } // if(la < mid && ra >= mid) { get_row(mid - 1 - la, nb - 1 - lb, ih_left, one); int one_size = last_size; get_row(ra - mid, rb, ih_right, two); int two_size = last_size; // debug() << imie(one) imie(two); int answer = 0; for(int i = 0; i < one_size; ++i) { int j = rb-lb+1 - i; if(0 <= j && j < two_size) { answer = max(answer, one[i] + two[j]); } } print[query.id] = answer; // printf("%d\n", answer); // } /* else { // brute force assert(false); // puts("?"); // continue; vector<vector<int>> ih = get_ih(a.substr(la), b); int A = ra - la; int b_low = lb, b_high = rb; // a[0..A] with b[low..] A++; b_high++; int answer = 0; for(int j = b_low + 1; j <= b_high; ++j) { if(b_low >= ih[A][j]) { answer++; } } print[query.id] = answer; // printf("%d\n", answer); }*/ } rec_solve(a_left, b, left_queries); rec_solve(a_right, b, right_queries); } int main() { // string a = "yxxyzyzx"; // string b = "yxxyzxyzxyxzx"; int na, nb, q; scanf("%d%d%d", &na, &nb, &q); string a = read(); string b = read(); vector<Query> queries(q); for(int i = 0; i < q; ++i) { queries[i].read(i); } print.resize(q, -1); rec_solve(a, b, queries); for(int x : print) { printf("%d\n", x); } }
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 | #include <bits/stdc++.h> using namespace std; #define sim template < class c #define ris return * this #define dor > debug & operator << #define eni(x) sim > typename \ enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef LOCAL ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair < b, c > d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c&) { ris; } #endif }; #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " // debug & operator << (debug & dd, P p) { dd << "(" << p.x << ", " << p.y << ")"; return dd; } // ALCS, https://www.sciencedirect.com/science/article/pii/S0166218X07002727 vector<vector<int>> get_ih(string a, string b) { int na = a.length(); int nb = b.length(); vector<vector<int>> ih(na + 1, vector<int>(nb + 1)); auto iv = ih; for(int j = 0; j <= nb; ++j) { ih[0][j] = j; } for(int l = 0; l <= na; ++l) { iv[l][0] = 0; } for(int l = 1; l <= na; ++l) { for(int j = 1; j <= nb; ++j) { if(a[l-1] != b[j-1]) { ih[l][j] = max(iv[l][j-1], ih[l-1][j]); iv[l][j] = min(iv[l][j-1], ih[l-1][j]); } else { ih[l][j] = iv[l][j-1]; iv[l][j] = ih[l-1][j]; } } } return ih; } int one[3005], two[3005]; int last_size; void get_row(int A, int b_high, const vector<vector<int>>& ih, int ans[]) { // a[0..A] with b[low..] A++; b_high++; for(int i = 0; i <= b_high; ++i) { ans[i] = 0; } for(int j = 1; j <= b_high; ++j) { int L = ih[A][j]; int R = j - 1; if(L <= R) { ans[L]++; if(R + 1 < b_high) { ans[R+1]--; } // for(int i = L; i <= R; ++i) { // ans[i]++; // } } // in[A][j] .. j - 1 } for(int i = 1; i < b_high; ++i) { ans[i] += ans[i-1]; } /*for(int b_low = 0; b_low < b_high; ++b_low) { int pref = 0; for(int j = b_low + 1; j <= b_high; ++j) { if(b_low >= ih[A][j]) { pref++; } } ans.push_back(pref); }*/ ans[b_high] = 0; last_size = b_high + 1; reverse(ans, ans + last_size); // reverse(ans.begin(), ans.end()); // return ans; // return answer; }; string read() { static char s[3005]; scanf("%s", s); return string(s); } struct Query { int la, ra, lb, rb, id; void read(int _id) { id = _id; scanf("%d%d%d%d", &la, &ra, &lb, &rb); la--; ra--; lb--; rb--; } }; vector<int> print; void rec_solve(string a, string b, vector<Query>& queries) { if(/*(int) a.length() < 5 && */ queries.empty()) { return; } if(a.length() < b.length()) { swap(a, b); for(Query& query : queries) { swap(query.la, query.lb); swap(query.ra, query.rb); } } int na = a.length(); int nb = b.length(); const int mid = na / 2; string a_left = a.substr(0, mid); string a_right = a.substr(mid); // debug() << imie(a_left) imie(a_right); vector<vector<int>> ih_right = get_ih(a_right, b); reverse(a_left.begin(), a_left.end()); reverse(b.begin(), b.end()); vector<vector<int>> ih_left = get_ih(a_left, b); // vector<vector<int>> ih_right = get_ih(a_right, b); reverse(a_left.begin(), a_left.end()); reverse(b.begin(), b.end()); vector<Query> left_queries, right_queries; for(Query query : queries) { int la = query.la, ra = query.ra, lb = query.lb, rb = query.rb; if((ra - la + 1) * (rb - lb + 1) <= 1000 || (int) queries.size() <= 10) { int len_a = ra - la + 1; int len_b = rb - lb + 1; vector<int> dp(len_b + 1); for(int i = 0; i < len_a; ++i) { for(int j = len_b - 1; j >= 0; --j) { if(a[la+i] == b[lb+j]) { dp[j+1] = dp[j] + 1; } } for(int j = 0; j < len_b; ++j) { dp[j+1] = max(dp[j+1], dp[j]); } } print[query.id] = dp.back(); continue; } if(ra < mid) { left_queries.push_back(query); continue; } if(la >= mid) { query.la -= mid; query.ra -= mid; right_queries.push_back(query); continue; } // if(la < mid && ra >= mid) { get_row(mid - 1 - la, nb - 1 - lb, ih_left, one); int one_size = last_size; get_row(ra - mid, rb, ih_right, two); int two_size = last_size; // debug() << imie(one) imie(two); int answer = 0; for(int i = 0; i < one_size; ++i) { int j = rb-lb+1 - i; if(0 <= j && j < two_size) { answer = max(answer, one[i] + two[j]); } } print[query.id] = answer; // printf("%d\n", answer); // } /* else { // brute force assert(false); // puts("?"); // continue; vector<vector<int>> ih = get_ih(a.substr(la), b); int A = ra - la; int b_low = lb, b_high = rb; // a[0..A] with b[low..] A++; b_high++; int answer = 0; for(int j = b_low + 1; j <= b_high; ++j) { if(b_low >= ih[A][j]) { answer++; } } print[query.id] = answer; // printf("%d\n", answer); }*/ } rec_solve(a_left, b, left_queries); rec_solve(a_right, b, right_queries); } int main() { // string a = "yxxyzyzx"; // string b = "yxxyzxyzxyxzx"; int na, nb, q; scanf("%d%d%d", &na, &nb, &q); string a = read(); string b = read(); vector<Query> queries(q); for(int i = 0; i < q; ++i) { queries[i].read(i); } print.resize(q, -1); rec_solve(a, b, queries); for(int x : print) { printf("%d\n", x); } } |