/*
Soln:
Keep track of up/down/lft/rgt[i][j].
up[i][j] stores whether there is a path from 1,1 to i-1,j to i,j
and the rest can be defined so as well
If we know for a fact that blocking i,j won't block the path we can just recursively change
up/down/lft/rgt[i][j].
This will be O(nm) over all queries
To check whether blocking i,j will block the path we can run a O(n+m) loop per query
or we can use segtrees/BITs to make it O(log(n)+log(m)) per query
Test cases are weak so O((n+m)) per query or O(nm*(n+m)) in total also works
*/
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,fma")
*/
// -------------------</optimizations>--------------------
// ---------------<Headers and namespaces>----------------
#include <bits/stdc++.h>
using namespace std;
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
// ---------------</Headers and namespaces>---------------
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag,
// tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
/*
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
*/
#define FLSH fflush(stdout)
#define fileIO(name) \
freopen(name".in", "r", stdin); \
freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x);
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// ----------------</Defines and typedefs>----------------
// -------------------<Debugging stuff>-------------------
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
// ------------------</Debugging stuff>-------------------
// ------------------------<Consts>-----------------------
const int MAXN = 1005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------
/*
// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count());
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
// ------------------------</RNG>-------------------------
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
const int FACSZ = 1; // Make sure to change this
int fact[FACSZ],ifact[FACSZ];
void precom(int c = MOD){
fact[0] = 1;
FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
REPD(i,FACSZ-1){
ifact[i] = mul(i+1,ifact[i+1],c);
}
}
int ncr(int n,int r,int c = MOD){
return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
}
*/
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
void solvethetestcase();
signed main(){
// comment when using scanf,printf
FAST_IO
int t = 1;
// (UNCOMMENT FOR MULTIPLE TEST CASES)
// cin >> t;
FOR(testcase,1,t+1){
// (UNCOMMENT FOR CODEJAM)
// printf("Case #%lld: ",testcase);
solvethetestcase();
}
}
int n,m,q;
int a[MAXN][MAXN];
int up[MAXN][MAXN],down[MAXN][MAXN],lft[MAXN][MAXN],rgt[MAXN][MAXN];
void recurse(int x,int y){
up[x][y] = 0;
down[x][y] = 0;
lft[x][y] = 0;
rgt[x][y] = 0;
if(rgt[x][y-1]){
rgt[x][y-1] = 0;
if(!down[x][y-1]) recurse(x,y-1);
}
if(lft[x][y+1]){
lft[x][y+1] = 0;
if(!up[x][y+1]) recurse(x,y+1);
}
if(down[x-1][y]){
down[x-1][y] = 0;
if(!rgt[x-1][y]) recurse(x-1,y);
}
if(up[x+1][y]){
up[x+1][y] = 0;
if(!lft[x+1][y]) recurse(x+1,y);
}
}
int query(int x,int y){
if(up[x][y] == 0 and down[x][y] == 0 and lft[x][y] == 0 and rgt[x][y] == 0) return 1;
bool f0 = 1,f1 = 1;
FOR(i,x+1,n+1){
if(lft[i][y]){
f0 = 0;
break;
}
}
if(f0)
FOR(j,y+1,m+1){
if(up[x][j]){
f0 = 0;
break;
}
}
FOR(i,1,x){
if(rgt[i][y]){
f1 = 0;
break;
}
}
if(f1)
FOR(j,1,y){
if(down[x][j]){
f1 = 0;
break;
}
}
if(f0 or f1) return 0;
recurse(x,y);
return 1;
}
void solvethetestcase(){
cin >> n >> m;
FOR(i,1,n+1){
FOR(j,1,m+1){
cin >> a[i][j];
}
}
FOR(i,1,n+1){
FOR(j,1,m+1){
if(i == 1 and j == 1){
up[i][j] = 1;
down[i][j] = 1;
lft[i][j] = 1;
rgt[i][j] = 1;
continue;
}
up[i][j] = (i > 1);
down[i][j] = (i < n);
lft[i][j] = (j > 1);
rgt[i][j] = (j < m);
}
}
FOR(i,1,n+1){
FOR(j,1,m+1){
if(a[i][j]) recurse(i,j);
}
}
cin >> q;
REP(xyz,q){
int x,y; cin >> x >> y;
cout << query(x,y) << "\n";
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2048 KB |
Output is correct |
| 2 |
Correct |
3 ms |
2560 KB |
Output is correct |
| 3 |
Correct |
3 ms |
2560 KB |
Output is correct |
| 4 |
Correct |
4 ms |
2560 KB |
Output is correct |
| 5 |
Correct |
4 ms |
2688 KB |
Output is correct |
| 6 |
Correct |
5 ms |
2816 KB |
Output is correct |
| 7 |
Correct |
5 ms |
2816 KB |
Output is correct |
| 8 |
Correct |
7 ms |
2816 KB |
Output is correct |
| 9 |
Correct |
5 ms |
2816 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2048 KB |
Output is correct |
| 2 |
Correct |
3 ms |
2560 KB |
Output is correct |
| 3 |
Correct |
3 ms |
2560 KB |
Output is correct |
| 4 |
Correct |
4 ms |
2560 KB |
Output is correct |
| 5 |
Correct |
4 ms |
2688 KB |
Output is correct |
| 6 |
Correct |
5 ms |
2816 KB |
Output is correct |
| 7 |
Correct |
5 ms |
2816 KB |
Output is correct |
| 8 |
Correct |
7 ms |
2816 KB |
Output is correct |
| 9 |
Correct |
5 ms |
2816 KB |
Output is correct |
| 10 |
Correct |
13 ms |
2944 KB |
Output is correct |
| 11 |
Correct |
3 ms |
1792 KB |
Output is correct |
| 12 |
Correct |
320 ms |
40056 KB |
Output is correct |
| 13 |
Correct |
99 ms |
38008 KB |
Output is correct |
| 14 |
Correct |
518 ms |
39032 KB |
Output is correct |
| 15 |
Correct |
535 ms |
38776 KB |
Output is correct |
| 16 |
Correct |
475 ms |
39800 KB |
Output is correct |
| 17 |
Correct |
514 ms |
41592 KB |
Output is correct |
| 18 |
Correct |
519 ms |
40472 KB |
Output is correct |
| 19 |
Correct |
521 ms |
41724 KB |
Output is correct |
| 20 |
Correct |
371 ms |
41836 KB |
Output is correct |
| 21 |
Correct |
501 ms |
41780 KB |
Output is correct |
