This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "rainbow.h"
#include <bits/stdc++.h>
using namespace std;
struct SegmentTree {
int n;
vector<vector<int>> t;
SegmentTree() { }
SegmentTree(int _n) {
n = _n;
t.resize(4 * n);
}
void insert(int x, int lx, int rx, int px, int py) {
if (lx == rx) {
t[x].push_back(py);
return;
}
int mx = (lx + rx) >> 1;
if (px <= mx) insert(x << 1, lx, mx, px, py);
else insert(x << 1 | 1, mx + 1, rx, px, py);
}
void build(int x, int lx, int rx) {
if (lx == rx) {
sort(t[x].begin(), t[x].end());
t[x].erase(unique(t[x].begin(), t[x].end()), t[x].end());
return;
}
int mx = (lx + rx) >> 1;
build(x << 1, lx, mx);
build(x << 1 | 1, mx + 1, rx);
merge(t[x << 1].begin(), t[x << 1].end(), t[x << 1 | 1].begin(), t[x << 1 | 1].end(), back_inserter(t[x]));
}
int sum(int x, int lx, int rx, int xl, int xr, int yl, int yr) {
if (xl > xr || yl > yr) return 0;
if (lx > xr || xl > rx) return 0;
if (xl <= lx && xr >= rx) return upper_bound(t[x].begin(), t[x].end(), yr) - lower_bound(t[x].begin(), t[x].end(), yl);
int mx = (lx + rx) >> 1;
return sum(x << 1, lx, mx, xl, xr, yl, yr) + sum(x << 1 | 1, mx + 1, rx, xl, xr, yl, yr);
}
};
int mxc, mxr, mnc, mnr;
SegmentTree point, edger, edged, f;
int N;
vector<pair<int, int>> all;
void init(int R, int C, int sr, int sc, int M, char *S) {
N = R + 5;
all = {{sr, sc}};
mxr = mnr = sr;
mxc = mnc = sc;
for (int i = 0; i < M; i++) {
if (S[i] == 'E') sc++;
if (S[i] == 'W') sc--;
if (S[i] == 'N') sr--;
if (S[i] == 'S') sr++;
all.push_back({sr, sc});
mxr = max(mxr, sr);
mnr = min(mnr, sr);
mxc = max(mxc, sc);
mnc = min(mnc, sc);
}
sort(all.begin(), all.end());
all.erase(unique(all.begin(), all.end()), all.end());
point = edger = edged = f = SegmentTree(N);
for (auto [x, y] : all) {
f.insert(1, 1, N, x, y);
edger.insert(1, 1, N, x, y);
edger.insert(1, 1, N, x + 1, y);
edged.insert(1, 1, N, x, y);
edged.insert(1, 1, N, x, y + 1);
point.insert(1, 1, N, x, y);
point.insert(1, 1, N, x + 1, y);
point.insert(1, 1, N, x, y + 1);
point.insert(1, 1, N, x + 1, y + 1);
}
point.build(1, 1, N);
edger.build(1, 1, N);
edged.build(1, 1, N);
f.build(1, 1, N);
}
int colour(int ar, int ac, int br, int bc) {
int X = 2 * (br - ar + bc - ac + 6);
int nodes = 2 * X - 8 + point.sum(1, 1, N, ar + 1, br, ac + 1, bc);
int edges = edger.sum(1, 1, N, ar + 1, br, ac, bc) + edged.sum(1, 1, N, ar, br, ac + 1, bc);
edges += 3 * X - 12;
int comp = 1;
if (ar < mnr && mxr < br && ac < mnc && mxc < bc) comp++;
int bad_faces = X - 4 + f.sum(1, 1, N, ar, br, ac, bc);
return edges - nodes + comp - bad_faces;
}
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