#include <cstdio> #include <vector> #include <map> #include <algorithm> #include <set> #include <deque> #define REP(i, n) for (int i = 0; i < (n); ++i) #define FOR(i, a, b) for (int i = (a); i < (b); ++i) //#define LOCAL 1 #ifndef LOCAL #include "message.h" #endif using namespace std; const int MAX_LEN = 110000; const int SPLIT_MIN = 50; //const int SPLIT_MIN = 3; const int MAX_FROM_SHARD = MAX_LEN / 1000 + 5; #ifndef LOCAL const int MAX_TO_SHARD = MAX_LEN / 10 + 5; #else const int MAX_TO_SHARD = MAX_LEN + 5; #endif const int MAX = 1000000003; struct T { int cost, bad_swaps; T(int x = 0, int y = 0) : cost(x), bad_swaps(y) {} bool operator<(const T& x) const { if (cost != x.cost) return cost < x.cost; return bad_swaps < x.bad_swaps; } }; int from_len, to_len; char from[MAX_LEN], to[MAX_LEN]; T d[MAX_FROM_SHARD][MAX_TO_SHARD]; int num_from_shards, num_to_shards; int NumNodes() { #ifndef LOCAL return NumberOfNodes(); #endif return 10; } void licz_komorke(int x, int y, int dx, int dy) { const int px = x - dx; const int py = y - dy; if (x == 0 and y == 0) { d[px][py] = T(0, 0); return; } T res = min(d[px-1][py], d[px][py-1]); res.cost += 1; if (x > 0 and y > 0) { T alt = d[px-1][py-1]; if (from[x-1] == to[y-1]) { // pass } else if (from[x-1] < to[y-1]) { alt.cost += 1; alt.bad_swaps += 1; } else { alt.cost += 1; } if (alt < res) res = alt; } d[px][py] = res; } void print_d(int x_size, int y_size) { REP(i, x_size+1) { REP(j, y_size+1) { printf("(%2d, %2d) ", d[i][j].cost == MAX ? -1 : d[i][j].cost, d[i][j].bad_swaps == MAX ? -1 : d[i][j].bad_swaps); } printf("\n"); } } int shard_x_size(int num) { int len = (from_len + 1) / num_from_shards; if (num < (from_len + 1) % num_from_shards) { len += 1; } return len; } int shard_y_size(int num) { int len = (to_len + 1) / num_to_shards; if (num < (to_len + 1) % num_to_shards) { len += 1; } return len; } int shard_dx(int num) { int res = num * ((from_len + 1) / num_from_shards); res += min(num, ((from_len + 1) % num_from_shards)); res -= 1; return res; } int shard_dy(int num) { int res = num * ((to_len + 1) / num_to_shards); res += min(num, ((to_len + 1) % num_to_shards)); res -= 1; return res; } #ifndef LOCAL void get(int size) { int target = MyNodeId() - 1; Receive(target); FOR(i, 0, size+1) { d[i][0].cost = GetInt(target); d[i][0].bad_swaps = GetInt(target); } } void send(int size, int top) { int target = MyNodeId() + 1; FOR(i, 0, size+1) { PutInt(target, d[i][top].cost); PutInt(target, d[i][top].bad_swaps); } Send(target); } #else deque< vector<T> > saved; void get(int size) { vector<T> x = saved.front(); saved.pop_front(); FOR(i, 0, size+1) { d[i][0] = x[i-1]; } } void send(int size, int top) { vector<T> tbs; FOR(i, 0, size+1) { tbs.push_back(d[i][top]); } saved.push_back(tbs); } #endif void do_shard(int from_shard, int to_shard) { int x_size = shard_x_size(from_shard); int y_size = shard_y_size(to_shard); int dx = shard_dx(from_shard); int dy = shard_dy(to_shard); // printf("do_shard %d %d: x_size = %d, y_size = %d, dx = %d, dy = %d\n", from_shard, to_shard, x_size, y_size, dx, dy); d[0][0] = T(MAX, MAX); if (to_shard == 0) { REP(i, MAX_FROM_SHARD) d[i][0] = T(MAX, MAX); } else { // Copy from another instance. get(x_size); } if (from_shard == 0) { REP(i, MAX_TO_SHARD) d[0][i] = T(MAX, MAX); } else { // Copy from previous run int g = shard_x_size(from_shard-1); FOR(i, 1, MAX_TO_SHARD) d[0][i] = d[g][i]; } FOR(x, 1, x_size+1) FOR(y, 1, y_size+1) { licz_komorke(x+dx, y+dy, dx, dy); } // print_d(x_size, y_size); if (from_shard == num_from_shards - 1 and to_shard == num_to_shards - 1) { printf("%d %d\n", d[x_size][y_size].cost, d[x_size][y_size].bad_swaps); } else if (to_shard + 1 < num_to_shards) { send(x_size, y_size); } } int div_ceil(int x, int y) { int res = x / y; if (x % y) res += 1; return res; } int main() { scanf("%d %d", &from_len, &to_len); REP(i, from_len) scanf(" %c", &from[i]); REP(i, to_len) scanf(" %c", &to[i]); num_from_shards = min(1000, div_ceil(from_len+1, SPLIT_MIN)); num_to_shards = min(NumNodes(), div_ceil(to_len+1, SPLIT_MIN)); // printf("num_from_shard = %d, num_to_shards = %d\n", num_from_shards, num_to_shards); #ifndef LOCAL if (MyNodeId() >= num_to_shards) return 0; REP(i, num_from_shards) do_shard(i, MyNodeId()); #else REP(j, num_to_shards) REP(i, num_from_shards) do_shard(i, j); #endif 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 | #include <cstdio> #include <vector> #include <map> #include <algorithm> #include <set> #include <deque> #define REP(i, n) for (int i = 0; i < (n); ++i) #define FOR(i, a, b) for (int i = (a); i < (b); ++i) //#define LOCAL 1 #ifndef LOCAL #include "message.h" #endif using namespace std; const int MAX_LEN = 110000; const int SPLIT_MIN = 50; //const int SPLIT_MIN = 3; const int MAX_FROM_SHARD = MAX_LEN / 1000 + 5; #ifndef LOCAL const int MAX_TO_SHARD = MAX_LEN / 10 + 5; #else const int MAX_TO_SHARD = MAX_LEN + 5; #endif const int MAX = 1000000003; struct T { int cost, bad_swaps; T(int x = 0, int y = 0) : cost(x), bad_swaps(y) {} bool operator<(const T& x) const { if (cost != x.cost) return cost < x.cost; return bad_swaps < x.bad_swaps; } }; int from_len, to_len; char from[MAX_LEN], to[MAX_LEN]; T d[MAX_FROM_SHARD][MAX_TO_SHARD]; int num_from_shards, num_to_shards; int NumNodes() { #ifndef LOCAL return NumberOfNodes(); #endif return 10; } void licz_komorke(int x, int y, int dx, int dy) { const int px = x - dx; const int py = y - dy; if (x == 0 and y == 0) { d[px][py] = T(0, 0); return; } T res = min(d[px-1][py], d[px][py-1]); res.cost += 1; if (x > 0 and y > 0) { T alt = d[px-1][py-1]; if (from[x-1] == to[y-1]) { // pass } else if (from[x-1] < to[y-1]) { alt.cost += 1; alt.bad_swaps += 1; } else { alt.cost += 1; } if (alt < res) res = alt; } d[px][py] = res; } void print_d(int x_size, int y_size) { REP(i, x_size+1) { REP(j, y_size+1) { printf("(%2d, %2d) ", d[i][j].cost == MAX ? -1 : d[i][j].cost, d[i][j].bad_swaps == MAX ? -1 : d[i][j].bad_swaps); } printf("\n"); } } int shard_x_size(int num) { int len = (from_len + 1) / num_from_shards; if (num < (from_len + 1) % num_from_shards) { len += 1; } return len; } int shard_y_size(int num) { int len = (to_len + 1) / num_to_shards; if (num < (to_len + 1) % num_to_shards) { len += 1; } return len; } int shard_dx(int num) { int res = num * ((from_len + 1) / num_from_shards); res += min(num, ((from_len + 1) % num_from_shards)); res -= 1; return res; } int shard_dy(int num) { int res = num * ((to_len + 1) / num_to_shards); res += min(num, ((to_len + 1) % num_to_shards)); res -= 1; return res; } #ifndef LOCAL void get(int size) { int target = MyNodeId() - 1; Receive(target); FOR(i, 0, size+1) { d[i][0].cost = GetInt(target); d[i][0].bad_swaps = GetInt(target); } } void send(int size, int top) { int target = MyNodeId() + 1; FOR(i, 0, size+1) { PutInt(target, d[i][top].cost); PutInt(target, d[i][top].bad_swaps); } Send(target); } #else deque< vector<T> > saved; void get(int size) { vector<T> x = saved.front(); saved.pop_front(); FOR(i, 0, size+1) { d[i][0] = x[i-1]; } } void send(int size, int top) { vector<T> tbs; FOR(i, 0, size+1) { tbs.push_back(d[i][top]); } saved.push_back(tbs); } #endif void do_shard(int from_shard, int to_shard) { int x_size = shard_x_size(from_shard); int y_size = shard_y_size(to_shard); int dx = shard_dx(from_shard); int dy = shard_dy(to_shard); // printf("do_shard %d %d: x_size = %d, y_size = %d, dx = %d, dy = %d\n", from_shard, to_shard, x_size, y_size, dx, dy); d[0][0] = T(MAX, MAX); if (to_shard == 0) { REP(i, MAX_FROM_SHARD) d[i][0] = T(MAX, MAX); } else { // Copy from another instance. get(x_size); } if (from_shard == 0) { REP(i, MAX_TO_SHARD) d[0][i] = T(MAX, MAX); } else { // Copy from previous run int g = shard_x_size(from_shard-1); FOR(i, 1, MAX_TO_SHARD) d[0][i] = d[g][i]; } FOR(x, 1, x_size+1) FOR(y, 1, y_size+1) { licz_komorke(x+dx, y+dy, dx, dy); } // print_d(x_size, y_size); if (from_shard == num_from_shards - 1 and to_shard == num_to_shards - 1) { printf("%d %d\n", d[x_size][y_size].cost, d[x_size][y_size].bad_swaps); } else if (to_shard + 1 < num_to_shards) { send(x_size, y_size); } } int div_ceil(int x, int y) { int res = x / y; if (x % y) res += 1; return res; } int main() { scanf("%d %d", &from_len, &to_len); REP(i, from_len) scanf(" %c", &from[i]); REP(i, to_len) scanf(" %c", &to[i]); num_from_shards = min(1000, div_ceil(from_len+1, SPLIT_MIN)); num_to_shards = min(NumNodes(), div_ceil(to_len+1, SPLIT_MIN)); // printf("num_from_shard = %d, num_to_shards = %d\n", num_from_shards, num_to_shards); #ifndef LOCAL if (MyNodeId() >= num_to_shards) return 0; REP(i, num_from_shards) do_shard(i, MyNodeId()); #else REP(j, num_to_shards) REP(i, num_from_shards) do_shard(i, j); #endif return 0; } |