File size: 4,272 Bytes
1fd0050 | 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 | #include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
#include <map>
#include <tuple>
using namespace std;
int n;
vector<pair<int, int>> adj[101];
int newNode() {
if (n >= 100) {
// Fallback, should not happen with proper memoization for the given constraints
}
return ++n;
}
// Suffix generator nodes
int U[21]; // U[k] generates any suffix of length k
int end_node;
map<pair<int, int>, int> gr_memo;
map<pair<int, int>, int> le_memo;
int gen_gr_suffix(int val, int rem_len);
int gen_le_suffix(int val, int rem_len);
int gen_gr_suffix(int val, int rem_len) {
if (rem_len == 0) {
return end_node;
}
int key_val = val & ((1 << rem_len) - 1);
if (gr_memo.count({key_val, rem_len})) {
return gr_memo.at({key_val, rem_len});
}
int curr = newNode();
gr_memo[{key_val, rem_len}] = curr;
int k = rem_len - 1;
int bit = (val >> k) & 1;
int target_any = (k > 0) ? U[k] : end_node;
if (bit == 0) {
adj[curr].push_back({target_any, 1});
int next_node = gen_gr_suffix(val, k);
adj[curr].push_back({next_node, 0});
} else {
int next_node = gen_gr_suffix(val, k);
adj[curr].push_back({next_node, 1});
}
return curr;
}
int gen_le_suffix(int val, int rem_len) {
if (rem_len == 0) {
return end_node;
}
int key_val = val & ((1 << rem_len) - 1);
if (key_val == (1 << rem_len) - 1) {
return U[rem_len];
}
if (le_memo.count({key_val, rem_len})) {
return le_memo.at({key_val, rem_len});
}
int curr = newNode();
le_memo[{key_val, rem_len}] = curr;
int k = rem_len - 1;
int bit = (val >> k) & 1;
int target_any = (k > 0) ? U[k] : end_node;
if (bit == 0) {
int next_node = gen_le_suffix(val, k);
adj[curr].push_back({next_node, 0});
} else {
adj[curr].push_back({target_any, 0});
int next_node = gen_le_suffix(val, k);
adj[curr].push_back({next_node, 1});
}
return curr;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int L, R;
cin >> L >> R;
n = 1;
int start_node = 1;
end_node = newNode();
int max_len = 0;
if (R > 0) {
max_len = floor(log2(R)) + 1;
}
for (int k = 1; k <= max_len; ++k) {
U[k] = newNode();
}
for (int k = 1; k <= max_len; ++k) {
int target = (k > 1) ? U[k - 1] : end_node;
adj[U[k]].push_back({target, 0});
adj[U[k]].push_back({target, 1});
}
int lenL = (L > 0) ? (floor(log2(L)) + 1) : 1;
int lenR = (R > 0) ? (floor(log2(R)) + 1) : 1;
for (int k = lenL; k <= lenR; ++k) {
long long R_k = (1LL << k) - 1;
long long current_L = max((long long)L, 1LL << (k - 1));
long long current_R = min((long long)R, R_k);
if (current_L > current_R) continue;
if (current_L == (1LL << (k - 1)) && current_R == R_k) {
int target = (k > 1) ? U[k - 1] : end_node;
adj[start_node].push_back({target, 1});
} else {
int s_k = newNode();
adj[start_node].push_back({s_k, 1});
int curr = s_k;
int rem_len = k - 1;
int msb = rem_len - 1;
while (msb >= 0 && ((current_L >> msb) & 1) == ((current_R >> msb) & 1)) {
int bit = (current_L >> msb) & 1;
int next_node = (msb > 0) ? newNode() : end_node;
adj[curr].push_back({next_node, bit});
curr = next_node;
msb--;
}
if (msb >= 0) { // Split required
int L_fork_start = gen_gr_suffix(current_L, msb + 1);
adj[curr].push_back({L_fork_start, 0});
int R_fork_start = gen_le_suffix(current_R, msb + 1);
adj[curr].push_back({R_fork_start, 1});
}
}
}
cout << n << endl;
for (int i = 1; i <= n; ++i) {
cout << adj[i].size();
sort(adj[i].begin(), adj[i].end());
for (auto& edge : adj[i]) {
cout << " " << edge.first << " " << edge.second;
}
cout << endl;
}
return 0;
} |