/** I can do this all day **/
#pragma GCC optimize("O2")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define all(x) (x).begin(),(x).end()
#define F first
#define S second
#define Mp make_pair
#define SZ(x) (int)x.size()
#define fast_io ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file_io freopen("in.txt" , "r+" , stdin) ; freopen("out.txt" , "w+" , stdout);
const int N = 2e5 + 10;
const ll mod = 1e9 + 7;
const ll mod2 = 998244353;
const ll inf = 8e18;
const int LOG = 22;
ll pw(ll a , ll b, ll M) { return (!b ? 1 : (b & 1 ? (a * pw(a * a % M, b / 2, M)) % M : pw(a * a % M, b / 2, M))); }
struct segment
{
segment () {}
vector < int > seg[N << 2], id[N << 2];
void add(int p, int x, int v = 1, int tl = 0, int tr = N - 1)
{
if(p > tr || p < tl) return;
if(tl == tr)
{
seg[v].push_back(x);
return;
}
int mid = (tl + tr) >> 1;
add(p, x, v << 1, tl, mid);
add(p, x, v << 1 | 1, mid + 1, tr);
}
void Merge(int v)
{
int n = SZ(seg[v << 1]), m = SZ(seg[v << 1 | 1]), i = 0, j = 0, k = 0;
id[v].resize(n + m + 1, 0);
seg[v].resize(n + m);
while(j < n || k < m)
{
if(j < n && (k == m || seg[v << 1][j] < seg[v << 1 | 1][k]))
{
seg[v][i] = seg[v << 1][j];
id[v][i + 1] = id[v][i] + 1;
j ++;
}
else
{
seg[v][i] = seg[v << 1 | 1][k];
id[v][i + 1] = id[v][i];
k ++;
}
i ++;
}
}
void build(int v = 1, int tl = 0, int tr = N - 1)
{
if(tl == tr)
{
sort(all(seg[v]));
seg[v].resize(unique(all(seg[v])) - seg[v].begin());
return;
}
int mid = (tl + tr) >> 1;
build(v << 1, tl, mid);
build(v << 1 | 1, mid + 1, tr);
Merge(v);
}
int get(int l, int r, int x, int v = 1, int tl = 0, int tr = N - 1)
{
if(l > tr || r < tl || l > r) return 0;
if(l <= tl && tr <= r)
{
return x;
}
int mid = (tl + tr) >> 1;
return get(l, r, id[v][x], v << 1, tl, mid) + get(l, r, x - id[v][x], v << 1 | 1, mid + 1, tr);
}
int ask(int l, int r, int L, int R)
{
if(l > r || L > R) return 0;
int x = upper_bound(all(seg[1]), R) - seg[1].begin();
int x2 = upper_bound(all(seg[1]), L - 1) - seg[1].begin();
return get(l, r, x) - get(l, r, x2);
}
} S1, S2, S3, S4; /// S1 -> bala chap 2 * 2
/// S2 -> bala chap 1 * 2
/// S3 -> bala chap 2 * 1
/// S4 -> bala chap 1 * 1
map < pii, int > mp;
int mnR, mnC, mxR, mxC;
void init(int R, int C, int a, int b, int n, string s)
{
vector < pii > points;
mnR = mxR = a;
mnC = mxC = b;
points.push_back(Mp(a, b));
for(int i = 0; i < n; i ++)
{
if(s[i] == 'N')
{
a --;
}
if(s[i] == 'S')
{
a ++;
}
if(s[i] == 'E')
{
b ++;
}
if(s[i] == 'W')
{
b --;
}
points.push_back(Mp(a, b));
}
for(auto x : points)
{
mp[x] = 1;
mnR = min(mnR, x.F);
mxR = max(mxR, x.F);
mnC = min(mnC, x.S);
mxC = max(mxC, x.S);
}
for(auto x : points)
{
printf("point : %d %d\n", x.F, x.S);
if(mp.count(Mp(x.F + 1, x.S)) == 1 && mp.count(Mp(x.F + 1, x.S + 1)) == 1 && mp.count(Mp(x.F, x.S + 1)) == 1)
{
S1.add(x.F, x.S);
}
if(mp.count(Mp(x.F + 1, x.S)) == 1)
{
S2.add(x.F, x.S);
}
if(mp.count(Mp(x.F, x.S + 1)) == 1)
{
S3.add(x.F, x.S);
}
S4.add(x.F, x.S);
}
S1.build();
S2.build();
S3.build();
S4.build();
}
int colours(int r1, int c1, int r2, int c2) /// V + F - M = 1 + C -> C = tedad moalefe haye graph mosatah
{ /// M - V + C + 1 = F -> toye soale ma F - 1 ro mikhaim C = 2 age doresh tohi bashe
int tool = c2 - c1 + 1, arz = r2 - r1 + 1;
int V = 0, M = 0;
V += S4.ask(r1, r2, c1, c2);
M += S3.ask(r1, r2, c1, c2 - 1);
M += S2.ask(r1, r2 - 1, c1, c2);
M += S4.ask(r1, r2, c1, c1);
M += S4.ask(r1, r2, c2, c2);
M += S4.ask(r1, r1, c1, c2);
M += S4.ask(r2, r2, c1, c2);
int tot = M - V + 1, ret = 0;
printf("V = %d M = %d\n", V, M);
ret += S1.ask(r1, r2 - 1, c1, c2 - 1);
ret += S2.ask(r1, r2 - 1, c1, c1);
ret += S2.ask(r1, r2 - 1, c2, c2);
ret += S3.ask(r1, r1, c1, c2 - 1);
ret += S3.ask(r2, r2, c1, c2 - 1);
ret += mp.count(Mp(r1, c1));
ret += mp.count(Mp(r1, c2));
ret += mp.count(Mp(r2, c1));
ret += mp.count(Mp(r2, c2));
printf("ret = %d\n", ret);
if(mnR - 1 > r1 && mxR + 1 < r2 && mnC - 1 > c1 && mxC + 1 < c2) tot ++;
return tot - ret;
}
int main()
{
init(6, 4, 3, 3, 9, "NWESSWEWS");
///printf("%d\n", S4.ask(2, 3, 2, 3));
printf("%d\n", colours(1, 2, 5, 3));
return 0;
}
/** test corner cases(n = 1?) watch for overflow or minus indices **/
Compilation message
rainbow.cpp: In function 'int colours(int, int, int, int)':
rainbow.cpp:163:6: warning: unused variable 'tool' [-Wunused-variable]
163 | int tool = c2 - c1 + 1, arz = r2 - r1 + 1;
| ^~~~
rainbow.cpp:163:26: warning: unused variable 'arz' [-Wunused-variable]
163 | int tool = c2 - c1 + 1, arz = r2 - r1 + 1;
| ^~~
/tmp/ccsocFEe.o: In function `main':
grader.cpp:(.text.startup+0x0): multiple definition of `main'
/tmp/cc3skTet.o:rainbow.cpp:(.text.startup+0x0): first defined here
/tmp/ccsocFEe.o: In function `main':
grader.cpp:(.text.startup+0xe9): undefined reference to `init(int, int, int, int, int, char*)'
grader.cpp:(.text.startup+0x167): undefined reference to `colour(int, int, int, int)'
collect2: error: ld returned 1 exit status
