이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <algorithm>
#include <array>
#include <iostream>
#include <vector>
using namespace std;
struct node {
    int color;
    int lower;
    node* prev;
    node* next;
};
struct diagonal {
    int a, b, color;
};
int set_operation(int const x, int const y) {
    return (6 - x - y) % 3;
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    cin >> n;
    string s;
    cin >> s;
    vector<node> nodes(n);
    vector<node*> next_different;
    array<int, 3> cnts = { 0, 0, 0 };
    for (int i = 0; i < n; i++) {
        nodes[i].color = (s[i] - '0') % 3;
        nodes[i].lower = i;
        cnts[nodes[i].color]++;
        nodes[i].prev = &nodes[i > 0 ? i - 1 : n - 1];
        nodes[i].next = &nodes[i + 1 < n ? i + 1 : 0];
        next_different.push_back(&nodes[i]);
    }
    if (count(cnts.begin(), cnts.end(), n) || cnts[0] % 2 != n % 2 || cnts[1] % 2 != n % 2 || cnts[2] % 2 != n % 2) {
        cout << "NE\n";
        return 0;
    }
    int node_cnt = n;
    vector<diagonal> diagonals;
    while (node_cnt > 3) {
        int next_different_idx = next_different.size() - 1;
        while (true) {
            node* const cur = next_different[next_different_idx];
            node* const next = cur->next;
            if (cur->color == next->color) {
                next_different.erase(next_different.begin() + next_different_idx);
                next_different_idx--;
                continue;
            }
            if (cnts[cur->color] == 1 && cnts[next->color] == 1) {
                next_different_idx--;
                continue;
            }
            break;
        }
        node* const b = next_different[next_different_idx];
        node* const a = b->prev;
        node* const c = b->next;
        node* const d = c->next;
        int const diag_color = set_operation(b->color, c->color);
        diagonals.push_back({ b->lower, d->lower, diag_color });
        cnts[b->color]--;
        cnts[c->color]--;
        cnts[diag_color]++;
        b->color = diag_color;
        b->next = d;
        d->prev = b;
        next_different.push_back(a);
        next_different.push_back(b);
        node_cnt--;
    }
    cout << "DA\n";
    for (auto const& [a, b, c] : diagonals) {
        cout << a + 1 << " " << b + 1 << " " << (c == 0 ? 3 : c) << "\n";
    }
}
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