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gangs.cpp
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#include <iostream>
#include <string>
#include <utility>
#include <sstream>
#include <algorithm>
#include <stack>
#include <vector>
#include <queue>
#include <map>
#include <set>
#include <bitset>
#include <cmath>
#include <cstring>
#include <iomanip>
#include <math.h>
#include <assert.h>
using namespace std;
#define INF 1000000000
#define LL_INF 0xfffffffffffffffLL
#define LSOne(S) (S & (-S))
#define EPS 1e-9
#define A first
#define B second
#define mp make_pair
#define PI acos(-1.0)
typedef pair<int, int> ii;
typedef vector<int> vi;
typedef vector<ii> vii;
vi cowCount;
int n, m;
int curCowsOnField = 0, curGang = -1;
int send(int startGang) {
priority_queue<ii, vii> pq;
for (int i = 2; i <= m; i++) {
if (i == startGang && cowCount[i] == 1) continue;
if (cowCount[i] == 0) continue;
pq.push(mp((i == startGang ? cowCount[i] - 1 : cowCount[i]), i));
}
int cowsOnField = 1, gang = startGang;
if (curGang == startGang) {
cowsOnField += curCowsOnField;
} else {
if (curCowsOnField == cowsOnField) {
cowsOnField = 0;
} else if (curCowsOnField > cowsOnField) {
cowsOnField = curCowsOnField - cowsOnField;
gang = curGang;
} else {
cowsOnField = cowsOnField - curCowsOnField;
}
}
while (!pq.empty()) {
ii cow = pq.top(); pq.pop();
if (cow.B == gang) {
cowsOnField += cow.A;
continue;
}
if (cowsOnField == 0) {
cowsOnField = cow.A;
gang = cow.B;
} else {
cowsOnField--;
if (cow.A > 1) pq.push(mp(cow.A - 1, cow.B));
}
}
if (startGang == 1) return cowCount[1] - cowsOnField - 1;
return cowCount[1] - cowsOnField;
}
int main() {
freopen("gangs.in", "r", stdin);
freopen("gangs.out", "w", stdout);
cin >> n >> m;
cowCount.resize(m+10);
for (int i = 1; i <= m; i++) {
cin >> cowCount[i];
}
vi order;
int answer = -INF;
while (order.size() < n) {
int best = -INF, bestGang;
for (int i = 1; i <= m; i++) {
if (cowCount[i] == 0) continue;
int left = send(i);
if (best < left) {
best = left;
bestGang = i;
}
}
int cowsOnField = 1, gang = bestGang;
if (curGang == bestGang) {
cowsOnField += curCowsOnField;
} else {
if (curCowsOnField == cowsOnField) {
cowsOnField = 0;
} else if (curCowsOnField > cowsOnField) {
cowsOnField = curCowsOnField - cowsOnField;
gang = curGang;
} else {
cowsOnField = cowsOnField - curCowsOnField;
gang = bestGang;
}
}
curCowsOnField = cowsOnField;
curGang = gang;
cowCount[bestGang]--;
order.push_back(bestGang);
if (answer == -INF) answer = best;
}
if (answer <= 0) {
cout << "NO" << endl;
return 0;
}
cout << "YES" << endl << answer << endl;
for (int cow : order) cout << cow << endl;
return 0;
}