Submission #134657

#	Time	Username	Problem	Language	Result	Execution time	Memory
134657		sealnot123	Ideal city (IOI12_city)	C++14	100 / 100	123 ms	12644 KiB

city

#include<bits/stdc++.h>
#define x first
#define y second
#define pb push_back
#define eb emplace_back
#define all(a) (a).begin(),(a).end()
#define SZ(a) (int)(a).size()
using namespace std;
typedef long long LL;
typedef pair<LL,LL> PLL;
typedef pair<int,int> PII;
typedef double D;
typedef long double LD;
const int N = 100005;
const LL mod = 1000000000;
vector<int> compx, compy;
int lastx[N], lasty[N];
int orderx[N], ordery[N];
vector<int> g[N];
LL ans;
LL dp[N], sz[N];
int n;
int *XX, *YY;
int cnt, mk[N];

void add_edge(int a, int b){
	g[a].pb(b); g[b].pb(a);
}

bool cmpx(int a, int b){
	if(XX[a] != XX[b]) return XX[a] < XX[b];
	return YY[a] < YY[b];
}

bool cmpy(int a, int b){
	if(YY[a] != YY[b]) return YY[a] < YY[b];
	return XX[a] < XX[b];
}

void dfs(int u, int v){
/*	printf("%d\n",u);*/
	for(int e : g[u]){
		if(e == v) continue;
		dfs(e, u);
		ans += (dp[e]+sz[e])*sz[u] + dp[u]*sz[e];
		dp[u] += dp[e] + sz[e];
		sz[u] += sz[e];
	}
}

int DistanceSum(int nn, int *X, int *Y) {
	n = nn;
	XX = X;
	YY = Y;
	int i,j,k,l,a,b,c,d;
	for(i=0;i<n;i++) compx.pb(X[i]), compy.pb(Y[i]);
	sort(all(compx)); sort(all(compy));
	compx.erase(unique(all(compx)), compx.end());
	compy.erase(unique(all(compy)), compy.end());
	for(i=0;i<n;i++) orderx[i] = ordery[i] = i;
	sort(orderx,orderx+n,cmpx);
	sort(ordery,ordery+n,cmpy);
	memset(lastx, -1, sizeof lastx);
	memset(lasty, -1, sizeof lasty);
	
	for(i = 0; i < n; i++){
		/*printf("#%d %d :",X[orderx[i]],Y[orderx[i]]);*/
		if(i == 0 || X[orderx[i]] == X[orderx[i-1]] && Y[orderx[i]] == Y[orderx[i-1]]+1);
		else cnt++;
		mk[orderx[i]] = cnt;
		sz[cnt]++;
		/*printf("%d\n",cnt);*/
	}
	for(i = 0; i < n; i++){
		b = orderx[i];
/*		printf("%d ",b);*/
		a = lower_bound(all(compy), Y[b]) - compy.begin();
		if(lasty[a] != -1 && X[lasty[a]] + 1 == X[b]){
			add_edge(mk[lasty[a]], mk[b]);
			/*printf("x %d %d\n",mk[lasty[a]],mk[b]);*/
		}
		lasty[a] = orderx[i];
	}
/*	printf("\n");*/
	for(i=0;i<n;i++){
		sort(all(g[i]));
		g[i].erase(unique(all(g[i])), g[i].end());
	}
	dfs(0,0);
	for(i=0;i<n;i++) g[i].clear();
	memset(dp, 0, sizeof dp);
	memset(sz, 0, sizeof sz);
	cnt = 0;
	for(i = 0; i < n; i++){
		/*printf("#%d %d :",X[ordery[i]],Y[ordery[i]]);*/
		if(i == 0 || Y[ordery[i]] == Y[ordery[i-1]] && X[ordery[i]] == X[ordery[i-1]]+1);
		else cnt++;
		mk[ordery[i]] = cnt;
		sz[cnt]++;
		/*printf("%d\n",cnt);*/
	}
	for(i = 0; i < n; i++){
		b = ordery[i];
/*		printf("%d ",b);*/
		a = lower_bound(all(compx), X[b]) - compx.begin();
		if(lastx[a] != -1 && Y[lastx[a]] + 1 == Y[b]){
			add_edge(mk[lastx[a]], mk[b]);
			/*printf("y %d %d\n",mk[lastx[a]],mk[b]);*/
		}
		lastx[a] = ordery[i];
	}
	for(i=0;i<n;i++){
		sort(all(g[i]));
		g[i].erase(unique(all(g[i])), g[i].end());
	}
/*	printf("\n");*/
	dfs(0,0);
  	return ans%mod;
}
/*
4
0 0
0 1
0 2
0 3
(10)

4
1 1
1 2
2 1
2 2

11
3 3
3 4
3 5
4 4
4 5
5 2
5 4
6 2
6 3
6 4
6 5
*/

Compilation message (stderr)

city.cpp: In function 'int DistanceSum(int, int*, int*)':
city.cpp:70:47: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   if(i == 0 || X[orderx[i]] == X[orderx[i-1]] && Y[orderx[i]] == Y[orderx[i-1]]+1);
                ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
city.cpp:98:47: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   if(i == 0 || Y[ordery[i]] == Y[ordery[i-1]] && X[ordery[i]] == X[ordery[i-1]]+1);
                ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
city.cpp:57:8: warning: unused variable 'j' [-Wunused-variable]
  int i,j,k,l,a,b,c,d;
        ^
city.cpp:57:10: warning: unused variable 'k' [-Wunused-variable]
  int i,j,k,l,a,b,c,d;
          ^
city.cpp:57:12: warning: unused variable 'l' [-Wunused-variable]
  int i,j,k,l,a,b,c,d;
            ^
city.cpp:57:18: warning: unused variable 'c' [-Wunused-variable]
  int i,j,k,l,a,b,c,d;
                  ^
city.cpp:57:20: warning: unused variable 'd' [-Wunused-variable]
  int i,j,k,l,a,b,c,d;
                    ^

• Subtask 1: 11 / 11
• Subtask 2: 21 / 21
• Subtask 3: 23 / 23
• Subtask 4: 45 / 45