| # | Time | Username | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 227569 | Benq | Ideal city (IOI12_city) | C++14 | 0 ms | 0 KiB |
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>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
int pct(int x) { return __builtin_popcount(x); }
int bit(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
int cdiv(int a, int b) { return a/b+!(a<0||a%b == 0); } // division of a by b rounded up, assumes b > 0
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
// TO_STRING
#define ts to_string
template<class A, class B> str ts(pair<A,B> p);
template<class A> str ts(complex<A> c) { return ts(mp(c.real(),c.imag())); }
str ts(bool b) { return b ? "true" : "false"; }
str ts(char c) { str s = ""; s += c; return s; }
str ts(str s) { return s; }
str ts(const char* s) { return (str)s; }
str ts(vector<bool> v) {
bool fst = 1; str res = "{";
F0R(i,sz(v)) {
if (!fst) res += ", ";
fst = 0; res += ts(v[i]);
}
res += "}"; return res;
}
template<size_t SZ> str ts(bitset<SZ> b) {
str res = ""; F0R(i,SZ) res += char('0'+b[i]);
return res; }
template<class T> str ts(T v) {
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
}
template<class A, class B> str ts(pair<A,B> p) {
return "("+ts(p.f)+", "+ts(p.s)+")"; }
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) {
pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) {
pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
cerr << to_string(h); if (sizeof...(t)) cerr << ", ";
DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "[" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 42
#endif
// FILE I/O
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(string s = "") {
unsyncIO();
// cin.exceptions(cin.failbit);
// throws exception when do smth illegal
// ex. try to read letter into int
if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
const int mx = 100005;
int N;
pi coor[mx]; // for an index, the coordinates
unordered_map<pi, int> tov; //for a coordinate, give the vertex index
bool visited[mx];
int currun = 0; //number of runs
int runnum[mx]; //run index for a point
vi runs[mx]; //indices in run i
int adj[mx][4];
void getrun(int ind){
if(runnum[ind] != 0) return;
currun++;
while(adj[ind][2] != -1){
ind = adj[ind][2];
}
/*
while(tov.count(mp(xcor-1, ycor))){
xcor--;
}*/
while(true){
runnum[ind] = currun;
runs[currun].pb(ind);
if(adj[ind][0] == -1) break;
ind = adj[ind][0];
}
}
vector<pair<int, vpi>> borders[mx][2]; //for each run and direction (0 = below, 1 = above) run number, pair of coordinate indices on the border.
void getborders(){
for(int i = 1; i <= currun; i++){
vi a = runs[i];
for(int j = 0; j < sz(a); j++){
int ind = a[j];
if(adj[ind][3] == -1){
continue;
}
/*if(!tov.count(mp(xcor, ycor-1))){
continue;
}*/
int vert = adj[ind][3];
if(j > 0 && adj[vert][2] != -1){
borders[i][0].bk.s.pb(mp(vert, ind));
continue;
}
vpi c;
c.pb(mp(vert, ind));
borders[i][0].pb(mp(runnum[vert], c));
}
//ps(i, runs[i], borders[i][0]);
cout.flush();
}
for(int i = 1; i <= currun; i++){
vi a = runs[i];
for(int j = 0; j < sz(a); j++){
int ind = a[j];
if(adj[ind][1] == -1){
continue;
}
int vert = adj[ind][1];
if(j > 0 && adj[vert][2] != -1){
borders[i][1].bk.s.pb(mp(ind, vert));
continue;
}
vpi c;
c.pb(mp(ind, vert));
borders[i][1].pb(mp(runnum[vert], c));
}
}
}
map<pi, int> diff; //pair of nodes, mode, # we add when we transition.
//pair of nodes is lower, higher
int getdiff(int mode, vpi *pairs, bool above){
int run1 = runnum[(*pairs)[0].f];
int run2 = runnum[(*pairs)[0].s];
int rval = 0; // return value
int bel, abo;
if(above == 0){
rval+=sz(runs[run1]);
for(auto u: borders[run1][0]){
if(u.f == run2) continue;
rval+=getdiff(mode, &u.s, 0);
}
for(auto u: borders[run1][1]){
if(u.f == run2) continue;
rval+=getdiff(mode, &u.s, 1);
}
bel = rval;
abo = N-bel;
}
else{
rval+=sz(runs[run2]);
for(auto u: borders[run2][0]){
if(u.f == run1) continue;
rval+=getdiff(mode, &u.s, 0);
}
for(auto u: borders[run2][1]){
if(u.f == run1) continue;
rval+=getdiff(mode, &u.s, 1);
}
abo = rval;
bel = N-abo;
}
for(auto u: *pairs){
diff[u] = bel-abo;
diff[mp(u.s, u.f)] = -diff[u];
}
return rval;
}
void clearmem(){ //clear everything except tov, coor
for(int i = 0; i < mx; i++){
visited[i] = 0;
runnum[i] = 0;
runs[i].clear();
borders[i][0].clear();
borders[i][1].clear();
}
currun = 0;
}
void swapcoors(){
for(int i = 1; i <= N; i++){
swap(coor[i].f, coor[i].s);
}
tov.clear();
for(int i = 1; i <= N; i++){
tov[mp(coor[i].f, coor[i].s)] = i;
}
}
void genAdj(){
for(int i = 1; i <= N; i++){
for(int j = 0; j < 4; j++){
adj[i][j] = -1;
}
}
for(int i = 1; i <= N; i++){
ll x = coor[i].f;
ll y = coor[i].s;
for(int j = 0; j < 4; j++){
auto it = tov.find(mp(x+xd[j], y+yd[j]));
if (it == end(tov)) continue;
int to = it->s;
adj[i][j] = to;
}
}
}
int cdsdist[mx];
ll calcdistsum(int st){
for(int i = 1; i <= N; i++){
cdsdist[i] = -1;
}
queue<pi> q;
q.push(mp(st, 0));
while(sz(q)){
int node = q.front().f;
int d = q.front().s;
q.pop();
if(cdsdist[node] != -1) continue;
cdsdist[node] = d;
for(int i = 0; i < 4; i++){
if(adj[node][i] == -1) continue;
int to = adj[node][i];
q.push(mp(to, d+1));
}
}
ll rval = 0;
for(int i = 1; i <= N; i++){
rval+=ll(cdsdist[i]);
}
return rval;
}
bool dfsvisit[mx];
ll dist[mx];
void dfs(int node, ll cursum = 0){
if(dfsvisit[node] == 1) return;
dfsvisit[node] = 1;
if(node == 1){
cursum = calcdistsum(1);
}
dist[node] = cursum;
//dfs to the other nodes
for(int i = 0; i < 4; i++){
if(adj[node][i] == -1) continue;
int to = adj[node][i];
dfs(to, cursum+ll(diff[mp(node, to)]));
}
}
int DistanceSum(int _N, int *x, int *y) {
clock_t a = clock();
N = _N;
for(int i = 1; i <= N; i++){
ll xval = ll(x[i-1]);
ll yval = ll(y[i-1]);
coor[i] = mp(xval, yval);
tov[mp(coor[i].f, coor[i].s)] = i;
}
//#warning if using adj up here, uncomment line
genAdj();
/////////////////
for(int i = 1; i <= N; i++){
getrun(i);
}
/*for(int i = 1; i <= currun; i++){
ps("i, runs[i]", i, runs[i]);
}*/
getborders();
for(int i = 1; i <= currun; i++){
if(sz(borders[i][1]) == 0) continue;
pair<int, vpi> a = borders[i][1][0];
getdiff(0, &a.s, 0);
getdiff(0, &a.s, 1);
break;
}
/////////////////
clearmem();
swapcoors(); //coor and tov
genAdj();
for(int i = 1; i <= N; i++){
getrun(i);
}
getborders();
for(int i = 1; i <= currun; i++){
if(sz(borders[i][1]) == 0) continue;
pair<int, vpi> a = borders[i][1][0];
getdiff(0, &a.s, 0);
getdiff(0, &a.s, 1);
break;
}
swapcoors();
genAdj();
double b = double(clock()-a)/double(CLOCKS_PER_SEC);
if(b > 0.5){
return -1;
}
dfs(1);
ll ans = 0;
for(int i = 1; i <= N; i++){
ans+=dist[i];
}
return int((ans/2) % 1000000000LL);
}
/*int main(){
int _N;
cin >> _N;
int x[_N];
int y[_N];
for(int i = 0; i < _N; i++){
cin >> x[i] >> y[i];
}
ps(DistanceSum(_N, x, y));
}*/