#include <cstdio>
#include <iostream>
#include <algorithm>
#include <cstring>
#include <vector>
#include <set>
#include <map>
#include <array>
#include <random>
#include <cmath>
#include <list>
#include <ctime>
#include <sstream>
#include <queue>
#include <climits>
#include <stack>
#include <random>
#include <bitset>
#include <numeric>
#include <cassert>
using namespace std;
typedef vector<int> vi;
typedef pair<int,int> pii;
typedef long long ll;
#define rep(x, b, e) for(int x=(b); x<(e); ++x)
#define trav(a, x) for(auto& a : x)
#define ford(x, b, e) for(int x=((int)(b))-1; x>=(e); --x)
#define all(c) c.begin(),c.end()
#define sz(x) ((int)((x).size()))
#define pb push_back
#define st first
#define nd second
#define mp(x,y) make_pair(x,y)
typedef short int sint;
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
const ll INF = 10000000000000LL;
void verify(const vector<int>& ogr, const vector<ll>& zb) {
int n = sz(ogr) - 1;
rep(dl, 1, n) {
int curr = 0;
rep(i, 0, dl - 1) {
curr += zb[i];
}
rep(i, dl - 1, sz(zb)) {
curr += zb[i];
if (curr > ogr[dl]) {
printf("NIE\n");
exit(0);
// return false;
}
curr -= zb[i -dl +1];
}
}
// return true;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
int n;
scanf("%d", &n);
vi a(n + 1);
rep(i, 1, n + 1) scanf("%d", &a[i]);
vector<ll> res, cur;
res.pb(a[1]);
cur.pb(a[1]);
rep(dl, 2, n + 1) {
if (a[dl] > dl * a[1]) {
printf("NIE\n");
return 0;
}
rep(podzial, 1, dl) {
if (a[dl] > a[podzial] + a[dl - podzial]) {
printf("NIE\n");
return 0;
}
}
int next = a[dl] - a[dl - 1];
res.pb(-INF);
cur.pb(next);
// verify(a, cur);
trav(x, cur) {
res.pb(x);
}
}
printf("TAK\n");
printf("%d\n", sz(res));
trav(x, res) printf("%lld ", x);
printf("\n");
}
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 | #include <cstdio> #include <iostream> #include <algorithm> #include <cstring> #include <vector> #include <set> #include <map> #include <array> #include <random> #include <cmath> #include <list> #include <ctime> #include <sstream> #include <queue> #include <climits> #include <stack> #include <random> #include <bitset> #include <numeric> #include <cassert> using namespace std; typedef vector<int> vi; typedef pair<int,int> pii; typedef long long ll; #define rep(x, b, e) for(int x=(b); x<(e); ++x) #define trav(a, x) for(auto& a : x) #define ford(x, b, e) for(int x=((int)(b))-1; x>=(e); --x) #define all(c) c.begin(),c.end() #define sz(x) ((int)((x).size())) #define pb push_back #define st first #define nd second #define mp(x,y) make_pair(x,y) typedef short int sint; #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " const ll INF = 10000000000000LL; void verify(const vector<int>& ogr, const vector<ll>& zb) { int n = sz(ogr) - 1; rep(dl, 1, n) { int curr = 0; rep(i, 0, dl - 1) { curr += zb[i]; } rep(i, dl - 1, sz(zb)) { curr += zb[i]; if (curr > ogr[dl]) { printf("NIE\n"); exit(0); // return false; } curr -= zb[i -dl +1]; } } // return true; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n; scanf("%d", &n); vi a(n + 1); rep(i, 1, n + 1) scanf("%d", &a[i]); vector<ll> res, cur; res.pb(a[1]); cur.pb(a[1]); rep(dl, 2, n + 1) { if (a[dl] > dl * a[1]) { printf("NIE\n"); return 0; } rep(podzial, 1, dl) { if (a[dl] > a[podzial] + a[dl - podzial]) { printf("NIE\n"); return 0; } } int next = a[dl] - a[dl - 1]; res.pb(-INF); cur.pb(next); // verify(a, cur); trav(x, cur) { res.pb(x); } } printf("TAK\n"); printf("%d\n", sz(res)); trav(x, res) printf("%lld ", x); printf("\n"); } |
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