#include <iostream>
#include <functional>
#include <vector>
#include <set>
using namespace std;
struct UnionFind {
vector<int>parent;
vector<int>rank;
UnionFind(int n) {
parent.resize(n);
rank.resize(n);
for (int i = 0; i < n; i++) {
parent[i] = i;
rank[i] = 0;
}
}
int find(int x) {
if (parent[x] == x)
return x;
return parent[x] = find(parent[x]);
}
void merge(int x, int y) {
x = find(x);
y = find(y);
if (x == y)
return;
if (rank[x] < rank[y])
parent[x] = y;
else if (rank[x] > rank[y])
parent[y] = x;
else {
parent[x] = y;
rank[y]++;
}
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
// input
int n, k;
cin >> n >> k;
int NC = 2*n;
vector<int>Ribbon[2] = {vector<int>(n), vector<int>(n)};
for (int &x : Ribbon[0]) {
cin >> x;
x--;
}
for (int &x : Ribbon[1]) {
cin >> x;
x--;
}
vector<pair<int,int>> ColToPos(NC); // row, col
for (int row = 0; row <= 1; row++)
for (int col = 0; col < n; col++)
ColToPos[Ribbon[row][col]] = {row, col};
// faza 1 - symulacja [0, ...]
vector <long long> Result(k+1);
for (int start = 0; start < NC; start++) {
vector<int>EndRangeVector(NC);
UnionFind UF(NC);
EndRangeVector[start] = 1;
Result[1]++;
for (int i = start + 1; i < NC; i++) {
int r = ColToPos[i].first;
int c = ColToPos[i].second;
// sprawdź sąsiadów i
set<int>neis;
auto check_nei = [&](int rr, int cc) {
int j = Ribbon[rr][cc];
if (j < i && j >= start)
neis.insert(UF.find(j));
};
check_nei(1 - r, c);
check_nei(r, (c + 1) % n);
check_nei(r, (c + n - 1) % n);
// oblicz wynik
if (neis.size() == 0)
EndRangeVector[i] = EndRangeVector[i-1] + 1;
else if (neis.size() == 1)
EndRangeVector[i] = EndRangeVector[i-1];
else
EndRangeVector[i] = EndRangeVector[i-1] - neis.size() + 1;
if (EndRangeVector[i] <= k)
Result[EndRangeVector[i]]++;
// scal grupy
auto merge_nei = [&](int rr, int cc) {
int j = Ribbon[rr][cc];
if (j < i && j >= start)
UF.merge(i, j);
};
merge_nei(1 - r, c);
merge_nei(r, (c + 1) % n);
merge_nei(r, (c + n - 1) % n);
}
}
for (int i = 1; i <= k; i++)
cout << Result[i] << " ";
cout << "\n";
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 | #include <iostream> #include <functional> #include <vector> #include <set> using namespace std; struct UnionFind { vector<int>parent; vector<int>rank; UnionFind(int n) { parent.resize(n); rank.resize(n); for (int i = 0; i < n; i++) { parent[i] = i; rank[i] = 0; } } int find(int x) { if (parent[x] == x) return x; return parent[x] = find(parent[x]); } void merge(int x, int y) { x = find(x); y = find(y); if (x == y) return; if (rank[x] < rank[y]) parent[x] = y; else if (rank[x] > rank[y]) parent[y] = x; else { parent[x] = y; rank[y]++; } } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); // input int n, k; cin >> n >> k; int NC = 2*n; vector<int>Ribbon[2] = {vector<int>(n), vector<int>(n)}; for (int &x : Ribbon[0]) { cin >> x; x--; } for (int &x : Ribbon[1]) { cin >> x; x--; } vector<pair<int,int>> ColToPos(NC); // row, col for (int row = 0; row <= 1; row++) for (int col = 0; col < n; col++) ColToPos[Ribbon[row][col]] = {row, col}; // faza 1 - symulacja [0, ...] vector <long long> Result(k+1); for (int start = 0; start < NC; start++) { vector<int>EndRangeVector(NC); UnionFind UF(NC); EndRangeVector[start] = 1; Result[1]++; for (int i = start + 1; i < NC; i++) { int r = ColToPos[i].first; int c = ColToPos[i].second; // sprawdź sąsiadów i set<int>neis; auto check_nei = [&](int rr, int cc) { int j = Ribbon[rr][cc]; if (j < i && j >= start) neis.insert(UF.find(j)); }; check_nei(1 - r, c); check_nei(r, (c + 1) % n); check_nei(r, (c + n - 1) % n); // oblicz wynik if (neis.size() == 0) EndRangeVector[i] = EndRangeVector[i-1] + 1; else if (neis.size() == 1) EndRangeVector[i] = EndRangeVector[i-1]; else EndRangeVector[i] = EndRangeVector[i-1] - neis.size() + 1; if (EndRangeVector[i] <= k) Result[EndRangeVector[i]]++; // scal grupy auto merge_nei = [&](int rr, int cc) { int j = Ribbon[rr][cc]; if (j < i && j >= start) UF.merge(i, j); }; merge_nei(1 - r, c); merge_nei(r, (c + 1) % n); merge_nei(r, (c + n - 1) % n); } } for (int i = 1; i <= k; i++) cout << Result[i] << " "; cout << "\n"; return 0; } |
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