Codeforces Round #273 (Div. 2),
Codeforces Round #273 (Div. 2)
題目連結
A:簽到,只要判斷總和是不是5的倍數即可,注意判斷0的情況
B:最大值的情況是每個集合先放1個,剩下都丟到一個集合去,最小值是盡量平均去分
C:假如3種球從小到大是a, b, c,那麼如果(a + b) 2 <= c這個比較明顯答案就是a + b了,因為c肯定要剩餘了,如果(a + b)2 > c的話,就肯定能構造出最優的(a + b + c) / 3,因為肯定可以先拿a和b去消除c,並且控制a和b成2倍關係或者消除一堆,讓剩下兩堆盡量一樣。
D:dp,先計算出最大高度h,然後1到h每一列看成一個物品,就是要選出其中幾個組成r,求情況數,這個用01背包就可以求解了
代碼:
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;}
B:
#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;}
C:
#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;}