2024-2025 ICPC, NERC, Southern and Volga Russian Regional Contest
自己vp了一下这一场,赛时7题,比较简单,但是有几题也是卡了蛮久。
都是思维题。
C
感觉结论比较显然但是实现上被卡住了。
用map没过,重构的时候把多个数压缩成一个数处理ac了,对拍发现是因为循环逻辑导致错误了。。
#include <bits/stdc++.h>
using namespace std;
#define LL long long
#define int long long
#define lowbit(x) (x & (-x))
const int N = 2e5 + 10;
int n, ans;
void solve() {
cin >> n;
map<int, int>mp;
for (int i = 1; i <= n; i++) {
int x; cin >> x;
mp[x]++;
}
int j = 0;
int b[5] = {0, 0, 0, 0, 0}, k = 0;
for (auto &i : mp) {
// cout << i.first << ' ' << i.second << endl;
if (k < 4){
while(k + 1 < 5 && i.second >= 2) {
i.second -= 2;
b[++k] = i.first;
}}
if (k == 4) {
while(i.second >= 2) {
i.second -= 2;
b[3] = i.first;
if (b[3] >= b[4]) swap(b[3], b[4]);
}
continue;
}
}
if (k < 4) cout << "NO" << endl;
else {
cout << "YES" << endl;
cout << b[1] << ' ' << b[2] << ' ' << b[1] << ' ' << b[4] << ' ';
cout << b[3] << ' ' << b[2] << ' ' << b[3] << ' ' << b[4] << endl;
}
}
signed main() {
int T = 1;
cin >> T;
while (T--) solve();
}
G
交互题
因为只需要知道一个数,去考虑1后面接的到底是什么数,所以问11,1,10三个,就可以知道1后面到底有没有每个都接着数字
B
之前见过一些类似题所以思路想的比较快
结论1是操作n次可以使全部值-1,也就是说答案具有单调性可以二分
结论2是说暴力check的次数不会超过 log(Amax) 次因为每次可以操作的数都会至少减半
所以可以直接写(在结论2上面卡了很久没搞对)
#include <bits/stdc++.h>
using namespace std;
#define LL long long
#define int long long
#define lowbit(x) (x & (-x))
const int N = 2e5 + 10;
int n, ans, k, a[N], idmx, b[N];
LL sum = 0;
bool jud(int mid) {
LL op = 1ll * mid * n + k;
int avg = (sum - op) / n;
LL cnt = 0;
for (int i = 1; i <= n; i++) b[i] = a[i];
for (int i = 1; ; i++) {
if (op == 0) break;
int j = ((i - 1) % n) + 1, tmp = (i % n) + 1;
if (b[j] > avg) {
b[tmp] = b[tmp] + (b[j] - avg + 1) / 2;
op -= (b[j] - avg + 1) / 2;
b[j] -= (b[j] - avg + 1) / 2 * 2;
}
if (b[tmp] <= avg && i > n) break;
if (op < 0) return 0;
}
for (int i = 1; i <= n; i++)
if (b[i] != avg) return 0;
return 1;
}
void solve() {
cin >> n;
sum = 0;
for (int i = 1; i <= n; i++) {
cin >> a[i];
sum += a[i];
}
bool f = 1;
for (int i = 1; i < n; i++) {
if (a[i] != a[i + 1]) {
f = 0; break;
}
}
if (f) {
cout << 0 << endl;
return;
}
k = sum % n;
int l = 0, r = sum / n , mid = (l + r) / 2;
while (l < r) {
if (jud(mid)) r = mid;
else l = mid + 1;
mid = (l + r) / 2;
}
// cout << sum << ' ' << n << << endl;
if (jud(mid) == 0) cout << -1 << endl;
else cout << 1ll * mid * n + k << endl;
}
signed main() {
int T = 1;
cin >> T;
while (T--) {
solve();
}
}

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