// Author: Olaf Surgut (surgutti)
// Created on 11-03-2025 17:56:44
#include "bits/stdc++.h"
using namespace std;
#define int long long
#define ll long long
#define ld long double
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define eb emplace_back
#define sz(x) (int)(x).size()
#define all(x) begin(x),end(x)
#define FOR(i,l,r) for(int i=(l);i<=(r);i++)
#define ROF(i,r,l) for(int i=(r);i>=(l);i--)
auto& operator<<(auto &o, pair<auto, auto> p) {
return o << "(" << p.st << ", " << p.nd << ")";}
auto operator<<(auto &o, auto x)->decltype(end(x), o) {
o << "{"; int i=0; for (auto e : x) o << ","+!i++ << e;
return o << "}";}
#ifdef LOCAL
#define debug(x...) cerr << "[" #x "]: ", [](auto...$) { \
((cerr << $ << "; "),...) << endl; }(x)
#else
#define debug(...)
#endif
#define rep(i,a,b) for(int i = a; i < (b); i++)
using pii = pair<int, int>;
using vi = vector<int>;
void solve() {
int n;
cin >> n;
vi a(n);
rep(i, 0, n)
cin >> a[i];
while (a.back() == 0)
a.pop_back();
int s = 0;
while (a[s] == 0)
s++;
a.erase(begin(a), begin(a) + s);
n = sz(a);
if (find(all(a), 0) != end(a)) {
cout << "NIE\n";
return;
}
if (sz(a) == 1) {
if (a[0] == 1) {
cout << "TAK\n";
}
else {
cout << "NIE\n";
}
return;
}
// ---
bool ok = true;
array<vi, 2> bad;
rep(k, 0, n - 1) {
a[k + 1] -= a[k];
if (a[k] <= 0) {
bad[k % 2].pb(k);
}
}
if (sz(bad[0]) > 0 && sz(bad[1]) > 0) {
cout << "NIE\n";
return;
}
if (a[n - 1] == 0) {
if (sz(bad[0])) {
for (int i = 2; i < n - 2; i += 2)
a[i]++;
}
else {
for (int i = 1; i < n - 2; i += 2)
a[i]++;
}
}
else
if (a[n - 1] == 1) {
a[n - 1]--;
for (int i = n - 2; i >= 0; i -= 2)
a[i]++;
}
else
if (a[n - 1] == -1) {
for (int i = n - 1; i >= 0; i -= 2)
a[i]++;
}
else {
ok = false;
}
rep(i, 0, n - 1)
if (a[i] <= 0)
ok = false;
if (ok) {
cout << "TAK\n";
}
else {
cout << "NIE\n";
}
}
signed main() {
cin.tie(0)->sync_with_stdio(0);
int tt = 1;
cin >> tt;
while (tt--)
solve();
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 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 | // Author: Olaf Surgut (surgutti) // Created on 11-03-2025 17:56:44 #include "bits/stdc++.h" using namespace std; #define int long long #define ll long long #define ld long double #define endl '\n' #define st first #define nd second #define pb push_back #define eb emplace_back #define sz(x) (int)(x).size() #define all(x) begin(x),end(x) #define FOR(i,l,r) for(int i=(l);i<=(r);i++) #define ROF(i,r,l) for(int i=(r);i>=(l);i--) auto& operator<<(auto &o, pair<auto, auto> p) { return o << "(" << p.st << ", " << p.nd << ")";} auto operator<<(auto &o, auto x)->decltype(end(x), o) { o << "{"; int i=0; for (auto e : x) o << ","+!i++ << e; return o << "}";} #ifdef LOCAL #define debug(x...) cerr << "[" #x "]: ", [](auto...$) { \ ((cerr << $ << "; "),...) << endl; }(x) #else #define debug(...) #endif #define rep(i,a,b) for(int i = a; i < (b); i++) using pii = pair<int, int>; using vi = vector<int>; void solve() { int n; cin >> n; vi a(n); rep(i, 0, n) cin >> a[i]; while (a.back() == 0) a.pop_back(); int s = 0; while (a[s] == 0) s++; a.erase(begin(a), begin(a) + s); n = sz(a); if (find(all(a), 0) != end(a)) { cout << "NIE\n"; return; } if (sz(a) == 1) { if (a[0] == 1) { cout << "TAK\n"; } else { cout << "NIE\n"; } return; } // --- bool ok = true; array<vi, 2> bad; rep(k, 0, n - 1) { a[k + 1] -= a[k]; if (a[k] <= 0) { bad[k % 2].pb(k); } } if (sz(bad[0]) > 0 && sz(bad[1]) > 0) { cout << "NIE\n"; return; } if (a[n - 1] == 0) { if (sz(bad[0])) { for (int i = 2; i < n - 2; i += 2) a[i]++; } else { for (int i = 1; i < n - 2; i += 2) a[i]++; } } else if (a[n - 1] == 1) { a[n - 1]--; for (int i = n - 2; i >= 0; i -= 2) a[i]++; } else if (a[n - 1] == -1) { for (int i = n - 1; i >= 0; i -= 2) a[i]++; } else { ok = false; } rep(i, 0, n - 1) if (a[i] <= 0) ok = false; if (ok) { cout << "TAK\n"; } else { cout << "NIE\n"; } } signed main() { cin.tie(0)->sync_with_stdio(0); int tt = 1; cin >> tt; while (tt--) solve(); return 0; } |
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