| # | Time | Username | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 1317717 | spetr | 모자이크 (IOI24_mosaic) | C++20 | 0 ms | 0 KiB |
#include <bits/stdc++.h>
using namespace std;
#define ll long long
const ll mmod = 998244353;
#define vl vector<long long>
#define vll vector<vector<long long>>
#define pl pair<long long, long long>
#define vb vector<bool>
std::vector<long long> mosaic(
std::vector<int> X, std::vector<int> Y,
std::vector<int> T, std::vector<int> B,
std::vector<int> L, std::vector<int> R){
ll n, q;
n = X.size();
q = T.size();
vll row3;
vll col3;
vl x1, y1;
for (ll i = 0; i <n; i++){
x1.push_back(X[i]);
y1.push_back(Y[i]);
}
row3.push_back(x1); col3.push_back(y1);
row3.push_back({Y[1]}); row3.push_back({Y[2]});
col3.push_back({X[1]}); col3.push_back({X[2]});
for (ll i = 1; i < 3; i++){
for (ll j = 1; j < n; j++){
ll v1 = 0; ll v2 = 0;
if (row3[i][j-1] == 0 && row3[i-1][j] == 0){
v1 = 1;
}
if (col3[i][j-1] == 0 && col3[i-1][j] == 0){
v2 = 1;
}
row3[i].push_back(v1);
col3[i].push_back(v2);
}
}
vl s1, s2, s3;
for (ll i = n-1; i>=0; i--){
s1.push_back(col3[0][i]);
}
for (ll i = 1; i < n; i++){
s1.push_back(row3[0][i]);
}
for (ll i = n-1; i>=1; i--){
s2.push_back(col3[1][i]);
}
for (ll i = 2; i < n; i++){
s2.push_back(row3[1][i]);
}
for (ll i = n-1; i>=2; i--){
s3.push_back(col3[2][i]);
}
for (ll i = 3; i < n; i++){
s3.push_back(row3[2][i]);
}
vl p1, p2, p3;
p1 = p2 = p3 = {0};
for (ll i = 0; i < s1.size(); i++){
p1.push_back(s1[i] + p1[i]);
}
for (ll i = 0; i < s2.size(); i++){
p2.push_back(s2[i] + p2[i]);
}
for (ll i = 0; i < s3.size(); i++){
p3.push_back(s3[i] + p3[i]);
}
vl q1, q2;
q1 = q2 = {0};
for (ll i = 0; i < s3.size(); i++){
q1.push_back(q1[i] + s3[i]*(i+1));
q2.push_back(q2[i] + s3[s3.size()-1-i]*(i+1));
}
reverse(q2.begin(), q2.end());
vl ans;
for (ll i = 0; i < q; i++){
ll l, r, u, d;
l = L[i]; r = R[i]; u = T[i]; d = B[i];
ll a, b;
ll suma = 0;
//Layer1
b = 0; a = 1e9;
if (l == 0){
a = min(a, n-d-1);
b = max(b, n-u);
}
if (u == 0){
a = min(a, n + l - 1);
b = max(b, n + r);
}
if (a < b){
suma += p1[b] - p1[a];
}
//Layer2
b = 0; a = 1e9;
if (l <= 1 && r >= 1){
a = min(a, n-d-1);
b = max(b, n-max(u,1ll));
}
if (u <= 1 && d >= 1){
a = min(a, n + max(l,1ll) - 3);
b = max(b, n + r - 2);
}
if (a < b){
suma += p2[b] - p2[a];
}
// Layer3
if (r >= 2 || d >= 2){
l = max(2ll, l);
u = max(2ll, u);
ll a = l - 2 + (n-1)-d;
ll b = r - 2 + n - u;
ll t = min(d-u, r-l); // thickness
//arithmetic sequence
suma += q1[a+t] - q1[a];
suma += q2[b] - q2[b-t];
suma -= (p3[a+t] - p3[a])*a;
suma -= (p3[b] - p3[b-t])*(b-t);
suma += (p3[b-t] - p3[a+t])*(t+1);
}
ans.push_back(suma);
}
return ans;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
vector<int> X {1, 0, 1, 0};
vector<int> Y {1, 1, 0, 1};
vector<int> T {0, 2};
vector<int> B {3, 3};
vector<int> L {0, 0};
vector<int> R {3, 2};
vl ans = mosaic(X, Y, T, B, L, R);
for (auto x : ans){
cout << x << "\n";
}
return 0;
}
