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时间:2021-07-01 10:21:17 帮助过:40人阅读

Codeforces Round #273 (Div. 2)

题目链接

A:签到,只要判断总和是不是5的倍数即可,注意判断0的情况

B:最大值的情况是每个集合先放1个,剩下都丢到一个集合去,最小值是尽量平均去分

C:假如3种球从小到大是a, b, c,那么如果(a + b) 2 <= c这个比较明显答案就是a + b了,因为c肯定要剩余了,如果(a + b)2 > c的话,就肯定能构造出最优的(a + b + c) / 3,因为肯定可以先拿a和b去消除c,并且控制a和b成2倍关系或者消除一堆,让剩下两堆尽量一样。

D:dp,先计算出最大高度h,然后1到h每一列看成一个物品,就是要选出其中几个组成r,求情况数,这个用01背包就可以求解了

代码:

A:

#include #include 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 #include 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 #include #include 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 #include #include 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;}

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