Submission #1288592

#TimeUsernameProblemLanguageResultExecution timeMemory
1288592samarthkulkarniLabels (NOI20_labels)C++20
47 / 100
1095 ms2780 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;

#pragma GCC target ("avx2")
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")
#pragma GCC optimize("fast-math")

#define ll long long
#define ld long double
#define vi vector<ll>
#define endl "\n"
#define pr pair<ll, ll>
#define ff first 
#define ss second
#define all(x) x.begin(), x.end()
const int mod = 1e9+7;
void _p(ll a){cout<<a<<endl;}
void _p(string a){cout<<a<<endl;}
void _p(ld a) {cout<<a<<endl;}
template <class T>
void _p(vector<T> a){for(T val:a)cout<<val<<" ";cout<<endl;}
#define debug(x) cout<<#x<<" -> ";_p(x)

typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update > ordered_set;

vector<pr> move8 = {{1, 0}, {1, 1}, {0, 1}, {-1, 1}, {-1, 0}, {-1, -1}, {0, -1}, {1, -1}};
vector<pr> move4 = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}};
vector<pr> move2 = {{0, 1}, {1, 0}};

// Segment tree (addition version)
struct Node {                                   // *
	ll val; bool upd;
	Node() {val = 0; upd = false;}
};

Node _merge(Node a1, Node a2) {                 // *
	Node ans;
	ans.val = a1.val + a2.val;
	return ans;
}

struct SegTree {
	int n; vi a;
	vector<Node> tree, lzy;
	SegTree (const vi& inp) {
		a = inp;
		n = a.size();
		tree.resize(4*n); lzy.resize(4*n);
	}

	void build (int id, int l, int r) {
		if (l == r) {
			tree[id].val = a[l];                // *
			return;
		}
		ll mid = (l + r) >> 1;
		build(2*id, l, mid);
		build(2*id + 1, mid+1, r);

		tree[id] = _merge(tree[2*id], tree[2*id + 1]);
	}

	void push(int id, int l, int r) {  
		if (!lzy[id].upd) return;
		tree[id].val += (r - l + 1) * lzy[id].val;         // * (assign or add)
		if (l != r) {
			lzy[2*id].val += lzy[id].val, lzy[2*id+1].val += lzy[id].val;   // * (assign or add)
			lzy[2*id].upd = true, lzy[2*id + 1].upd = true;
		}
		lzy[id].val = 0; lzy[id].upd = false;
	}

	Node query (int id, int l, int r, int L, int R) {
		push(id, l, r);
		if (L > r || l > R) return Node(); 
		if (l >= L && r <= R) { return tree[id]; }
		int mid = (l + r) >> 1;
		return _merge(query(2*id, l, mid, L, R), query(2*id+1, mid+1, r, L, R));
	}

	void update(int id, int l, int r, int L, int R, ll V) {
		push(id, l, r);
		if (L > r || l > R) return;
		if (l >= L && r <= R) {
			lzy[id].val += V, lzy[id].upd = true;      // * (assign or add)
			push(id, l, r); 
			return;
		}
		int mid = (l + r) >> 1;
		update(2*id, l, mid, L, R, V);
		update(2*id + 1, mid+1, r, L, R, V);
		tree[id] = _merge(tree[2*id], tree[2*id+1]);
	}

	// over-ridden functions
	void build() {build(1, 0, n-1);}
	Node query(int l, int r) {return query(1, 0, n-1, l, r);}
	void update(int l, int r, ll V) { update(1, 0, n-1, l, r, V);}
};

void solution();
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    solution();
    return 0;
}



void solution() {
    ll n; cin >> n;
    vi a(n-1);
    for (ll &z : a) cin >> z;


    vector<bool> currentState(n+1, 1);
	currentState[0] = 0;


	for (int i = 0; i < n-1; i++) {
		vector<bool> nextState(n+1);

		for (int j = 1; j <= n; j++) {
			if (!currentState[j] || a[i] + j > n || a[i] + j < 1) continue;
			nextState[a[i]+j] = true;
		}

		swap(currentState, nextState);
	}

	if (count(all(currentState), 1) != 1) {
		cout << -1 << endl; 
		return;
	}

	vi ans(n);
	for (int i = 1; i <= n; i++) {
		if (currentState[i]) {ans[n-1] = i; break;}
	}

	for (int i = n-2; i >= 0; i--) {
		ans[i] = ans[i+1] - a[i];
	}


	for (auto val : ans) cout << val << " ";

}
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