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Codeforces Round #273 (Div. 2)
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A: Sign in, just judge whether the sum is a multiple of 5, pay attention to the case of 0
B : The maximum value is to put 1 ball in each set first, and throw the rest into one set. The minimum value is to divide it equally as much as possible
C: If the three kinds of balls from small to large are a, b, c, then if (a b) 2 <= c, the obvious answer is a b, because c will definitely be leftover. If (a b)2 > c, the optimal (a b c) / 3 can definitely be constructed , because you can certainly use a and b to eliminate c, and control a and b to have a 2-fold relationship or eliminate a pile and make the remaining two piles as similar as possible.
D: dp, first calculate the maximum height h, and then treat each column from 1 to h as an item. You need to select a few of them to form r and find the number of situations. This can be solved with the 01 backpack
Code:
A:
#include <cstdio>#include <cstring>int c, sum = 0;int main() { for (int i = 0; i < 5; i++) { scanf("%d", &c); sum += c; } if (sum == 0 || sum % 5) printf("-1\n"); else printf("%d\n", sum / 5); return 0;}
#include <cstdio>#include <cstring>typedef long long ll;ll n, m;int main() { scanf("%lld%lld", &n, &m); ll yu = n - m + 1; ll Max = yu * (yu - 1) / 2; yu = n % m; ll sb = n / m; ll sbb = sb + 1; ll Min = 0; if (sbb % 2) { Min += yu * (sbb - 1) / 2 * sbb; } else Min += yu * sbb / 2 * (sbb - 1); if (sb % 2) { Min += (m - yu) * (sb - 1) / 2 * sb; } else Min += (m - yu) * sb / 2 * (sb - 1); printf("%lld %lld\n", Min, Max); return 0;}
#include <cstdio>#include <cstring>#include <algorithm>using namespace std;typedef long long ll;ll a[3], ans = 0;int main() { for (ll i = 0; i < 3; i++) scanf("%lld", &a[i]); sort(a, a + 3); if ((a[0] + a[1]) * 2 >= a[2]) printf("%lld\n", (a[0] + a[1] + a[2]) / 3); else printf("%lld\n", a[0] + a[1]); return 0;}
D:
#include <cstdio>#include <cstring>#include <algorithm>using namespace std;typedef long long ll;const int N = 200005;const ll MOD = 1000000007;ll r, g;int n;ll dp[N];int main() { scanf("%lld%lld", &r, &g); if (r > g) swap(r, g); ll sum = 0; for (int i = 1; ;i++) { sum += i; if (sum >= r + g) { if (sum > r + g) { sum -= i; i--; } n = i; break; } } dp[0] = 1; for (int i = 1; i <= n; i++) { for (int j = r; j >= i; j--) { dp[j] = dp[j] + dp[j - i]; if (dp[j] > MOD) dp[j] -= MOD; } } ll sb = 0; for (int i = 0; i <= r + g - sum; i++) { if (r < i) break; sb = (dp[r - i] + sb) % MOD; } printf("%lld\n", sb); return 0;}