#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
#define FOR(i,l,r) for(int i=(l);i<=(r);i++)
#define ROF(i,r,l) for(int i=(r);i>=(l);i--)
using namespace std;
ll infl=1000000000000000007;
int inf=1000000007;
int mod=998244353;
int mod1=998244353;
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
const int N=1000007;
ll a[N];
bool DP[N][3][3];
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int tt;
cin>>tt;
while(tt--)
{
int n;
cin>>n;
int L=inf,R=-inf;
FOR(i,1,n)
{
cin>>a[i];
a[i]*=2;
if(a[i]>0&&L==inf) L=i;
if(a[i]>0) R=i-1;
}
DP[0][0][0]=1;
FOR(i,1,n)
{
a[i]-=a[i-1];
debug(i,a[i]);
FOR(x,0,2)
{
FOR(y,0,2)
{
DP[i][x][y]=DP[i-1][x][y];
if(x>0&&i%2==0) DP[i][x][y]|=DP[i][x-1][y];
if(y>0&&i%2==1) DP[i][x][y]|=DP[i][x][y-1];
}
}
FOR(x,0,2)
{
FOR(y,0,2)
{
ll val=a[i];
if(i%2==0) val+=y-x;
else val+=x-y;
if(val<0) DP[i][x][y]=0;
if(i==n&&val!=0) DP[i][x][y]=0;
if(i>=L&&i<=R&&val==0) DP[i][x][y]=0;
}
}
}
if(DP[n][2][0]||DP[n][1][1]||DP[n][0][2]) cout<<"TAK"<<endl;
else cout<<"NIE"<<endl;
}
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 | #include <bits/stdc++.h> #define ll long long #define ld long double #define endl '\n' #define st first #define nd second #define pb push_back #define sz(x) (int)(x).size() #define all(x) (x).begin(), (x).end() #define FOR(i,l,r) for(int i=(l);i<=(r);i++) #define ROF(i,r,l) for(int i=(r);i>=(l);i--) using namespace std; ll infl=1000000000000000007; int inf=1000000007; int mod=998244353; int mod1=998244353; #ifdef DEBUG auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";} auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";} #define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X) #else #define debug(...){} #endif const int N=1000007; ll a[N]; bool DP[N][3][3]; signed main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int tt; cin>>tt; while(tt--) { int n; cin>>n; int L=inf,R=-inf; FOR(i,1,n) { cin>>a[i]; a[i]*=2; if(a[i]>0&&L==inf) L=i; if(a[i]>0) R=i-1; } DP[0][0][0]=1; FOR(i,1,n) { a[i]-=a[i-1]; debug(i,a[i]); FOR(x,0,2) { FOR(y,0,2) { DP[i][x][y]=DP[i-1][x][y]; if(x>0&&i%2==0) DP[i][x][y]|=DP[i][x-1][y]; if(y>0&&i%2==1) DP[i][x][y]|=DP[i][x][y-1]; } } FOR(x,0,2) { FOR(y,0,2) { ll val=a[i]; if(i%2==0) val+=y-x; else val+=x-y; if(val<0) DP[i][x][y]=0; if(i==n&&val!=0) DP[i][x][y]=0; if(i>=L&&i<=R&&val==0) DP[i][x][y]=0; } } } if(DP[n][2][0]||DP[n][1][1]||DP[n][0][2]) cout<<"TAK"<<endl; else cout<<"NIE"<<endl; } return 0; } |
English