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 <bits/stdc++.h>
#define all(v) v.begin(), v.end()
#define pb push_back
#define lb lower_bound
#define gibon ios::sync_with_stdio(false); cin.tie(0);
#define fi first
#define se second
#define pii pair<int, int>
#define pll pair<ll, ll>
typedef long long ll;
using namespace std;
const int mxN=1000005;
const int mxM=500004;
const int MOD=1'000'000'007;
const ll INF=8e18;
int N, K;
char A[mxN];
pii B[mxN];
map <pii, int> mp;
vector <pii> v1, v2;
vector <pii> ct[mxN];
ll ans;
void make_B(){
for(int i=1;i<=N;i++){
if(A[i]=='N') B[i]=pii(B[i-1].fi, B[i-1].se+1);
if(A[i]=='S') B[i]=pii(B[i-1].fi, B[i-1].se-1);
if(A[i]=='E') B[i]=pii(B[i-1].fi+1, B[i-1].se);
if(A[i]=='W') B[i]=pii(B[i-1].fi-1, B[i-1].se);
}
}
void solv_00(){
for(int i=0;i<N;i++){
mp[B[i]]=1;
v2.push_back(B[i]);
v2.emplace_back(B[i].fi-1, B[i].se);
v2.emplace_back(B[i].fi, B[i].se-1);
v2.emplace_back(B[i].fi-1, B[i].se-1);
}
sort(all(v2));
v2.erase(unique(all(v2)), v2.end());
for(auto [x, y] : v2){
if(mp[pii(x, y)]==1 && mp[pii(x+1, y)]==1 && mp[pii(x, y+1)]==1 && mp[pii(x+1, y+1)]==1) ans++;
}
cout << ans;
}
void swap_xy(){
for(int i=1;i<=N;i++){
if(A[i]=='N') A[i]='E';
else if(A[i]=='S') A[i]='W';
else if(A[i]=='E') A[i]='N';
else A[i]='S';
}
make_B();
}
void swap_x(){
for(int i=1;i<=N;i++){
if(A[i]=='E') A[i]='W';
else if(A[i]=='W') A[i]='E';
}
make_B();
}
pair<pii, int> f(int x, int y){
int q;
if(x>0) q=x/B[N].fi;
else if((-x)%B[N].fi==0) q=-((-x)/B[N].fi);
else q=-((-x)/B[N].fi+1);
return pair<pii, int>(pii(x-q*B[N].fi, y-q*B[N].se), q);
}
pair<pii, int> f(pii p){
auto [x, y]=p;
return f(x, y);
}
int main()
{
gibon
cin >> N >> K;
cin >> A+1;
make_B();
if(B[N]==pii(0, 0)){
solv_00();
return 0;
}
if(B[N].fi==0) swap_xy();
if(B[N].fi<0) swap_x();
for(int i=0;i<=N;i++){
v1.push_back(f(B[i]).fi);
v2.push_back(f(B[i]).fi);
v2.push_back(f(pii(B[i].fi-1, B[i].se)).fi);
v2.push_back(f(pii(B[i].fi, B[i].se-1)).fi);
v2.push_back(f(pii(B[i].fi-1, B[i].se-1)).fi);
}
sort(all(v1));
v1.erase(unique(all(v1)), v1.end());
sort(all(v2));
v2.erase(unique(all(v2)), v2.end());
//printf("v1: \n");
//for(auto [x, y] : v1) printf("%d %d\n", x, y);
//printf("----------------------\n");
for(int i=0;i<=N;i++){
pii now=f(B[i]).fi;
int del=f(B[i]).se;
int ix=lower_bound(all(v1), now)-v1.begin();
ct[ix].emplace_back(del, 1);
ct[ix].emplace_back(del+K, -1);
}
for(int i=0;i<v1.size();i++) sort(all(ct[i]));
//for(int i=0;i<v1.size();i++){
// printf("x, y=%d %d: ", v1[i].fi, v1[i].se);
// for(auto [x, y] : ct[i]) printf("(%d %d) ", x, y);
// printf("\n");
//}
//printf("----------------\n");
for(auto [x, y] : v2){
//printf("x=%d, y=%d\n", x, y);
pii n[4]={f(x, y).fi, f(x+1, y).fi, f(x, y+1).fi, f(x+1, y+1).fi}, idx[4];
int cnt[4]={};
idx[0].se=f(x, y).se;
idx[1].se=f(x+1, y).se;
idx[2].se=f(x, y+1).se;
idx[3].se=f(x+1, y+1).se;
bool jog=true;
for(int i=0;i<4;i++){
int ti=lower_bound(all(v1), n[i])-v1.begin();
if(ti==v1.size() || v1[ti]!=n[i]) jog=false;
idx[i].fi=lower_bound(all(v1), n[i])-v1.begin();
}
if(!jog) continue;
vector <pair<pii, int>> nct;
for(int i=0;i<4;i++){
for(auto [pos, typ] : ct[idx[i].fi]) nct.emplace_back(pii(pos-idx[i].se, typ), i);
}
sort(all(nct));
//for(int i=0;i<nct.size();i++){
// printf("(%d %d %d) ", nct[i].fi.fi, nct[i].fi.se, nct[i].se);
//}
//printf("\n");
for(int i=0;i+1<nct.size();i++){
auto [pos, pm]=nct[i].fi;
int num=nct[i].se;
cnt[num]+=pm;
if(cnt[0]>0 && cnt[1]>0 && cnt[2]>0 && cnt[3]>0) ans+=nct[i+1].fi.fi-nct[i].fi.fi;
}
//printf("ans=%lld\n", ans);
}
cout << ans;
}
Compilation message (stderr)
2016_ho_t4.cpp: In function 'int main()':
2016_ho_t4.cpp:77:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
77 | cin >> A+1;
| ~^~
2016_ho_t4.cpp:106:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
106 | for(int i=0;i<v1.size();i++) sort(all(ct[i]));
| ~^~~~~~~~~~
2016_ho_t4.cpp:124:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
124 | if(ti==v1.size() || v1[ti]!=n[i]) jog=false;
| ~~^~~~~~~~~~~
2016_ho_t4.cpp:137:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<std::pair<int, int>, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
137 | for(int i=0;i+1<nct.size();i++){
| ~~~^~~~~~~~~~~
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