• HGOI 20190711


    水题都做不好,看来凉了

    T1 音量调节(changingsounds)

    这是个小菜鸡题

    只需要 (dp) 一波就行(理论上都不是 (dp)

    (dp[i][j]) 表示第 (i) 首歌曲能否达到 (j) 的音量

    (dp[n][i]=1) 找到 (i) 最大的

    #include <bits/stdc++.h>
    using namespace std;
    
    #define rep(i, a, b) for (int i = a; i <= b; i++)
    #define per(i, a, b) for (int i = a; i >= b; i--)
    #define siz(a) (int)a.size()
    #define pb push_back
    #define mp make_pair
    #define ll long long
    #define fi first
    #define se second
    
    const int N = 60 ;
    
    int n, b, e ;
    int a[N], f[N][1010] ;
    
    signed main() {
    //	freopen("changingsounds.in", "r", stdin) ;
    //	freopen("changingsounds.out", "w", stdout) ;
    	scanf("%d%d%d", &n, &b, &e) ;
    	rep(i, 1, n) scanf("%d", &a[i]) ;
    	f[0][b] = 1 ;
    	rep(i, 1, n)
    	rep(j, 0, e) {
    		if (j - a[i] >= 0) f[i][j] |= f[i - 1][j - a[i]] ;
    		if (j + a[i] <= e) f[i][j] |= f[i - 1][j + a[i]] ;
    	}
    	int ans = -1 ;
    	per(i, e, 0) 
    	if (f[n][i]) {
    		ans = i ;
    		break ;
    	}
    	if (ans == -1) printf("%d
    ", ans) ;
    	else printf("%d
    ", ans) ;
    	return 0 ;
    }
    

    T2 旅行(journey)

    这个题目稍难些

    可以发现前50分按照他那个公式处理就行了(送的真多)

    对于剩下的50分,你会发现公式是错的(doge)
    会有 (X) 挡路,所有需要越过 (X)
    而每越过一个 (X),你的距离就会增加 (2)
    由于没有连续的对角线挡路,所以只要考虑多少对 ((i,j))(X) 挡住了。

    但是刚开始只想到了在同一行、列内如果挡住了会有需要绕过 (X) 的情况,
    但其实如果不同的两行、列之间,所走的曼哈顿路径也被 (X) 挡住了,
    那也是需要进行绕路的。

    #include <bits/stdc++.h>
    using namespace std ;
    
    #define rep(i, a, b) for (int i = a; i <= b; i++)
    #define per(i, a, b) for (int i = a; i >= b; i--)
    #define siz(a) (int) a.size()
    #define pb push_back
    #define mp make_pair
    #define ll long long
    #define fi first
    #define se second
    
    const int N = 1010;
    
    char ch[N][N];
    int x[N], y[N], n, m;
    
    int main() {
    	scanf("%d%d", &n, &m);
    	rep(i, 0, n - 1) 
    	rep(j, 0, m - 1)
    	scanf(" %c", &ch[i][j]);
    	rep(i, 0, n - 1) {
    		y[i] = -1;
    		rep(j, 0, m - 1) {
    			if (ch[i][j] == 'X') {
    				y[i] = j;
    				break;
    			}
    		}
    	}
    	rep(j, 0, m - 1) { 
    		x[j] = -1;
    		rep(i, 0, n - 1) {
    			if (ch[i][j] == 'X') {
    				x[j] = i;
    				break;
    			}
    		}
    	}
    	ll sum = 0;
    	rep(i, 0, n - 1) 
    	rep(j, i + 1, n - 1) 
    	sum += (ll) (m - (y[i] >= 0)) * (m - (y[j] >= 0)) * (j - i) * 2;
    	rep(i, 0, m - 1) 
    	rep(j, i + 1, m - 1) 
    	sum += (ll) (n - (x[i] >= 0)) * (n - (x[j] >= 0)) * (j - i) * 2;
    	rep(i, 0, m - 1) {
    		if (x[i] == -1) continue;
    		int below = n - 1 - x[i], above = x[i];
    		sum += (ll) (below) * above * 4;
    		rep(j, i + 1, m - 1) {
    			if (x[j] == -1 || x[j] > x[j - 1]) break;
    			above = x[j];
    			sum += (ll) (below) * above * 4;
    		}
            above = x[i];
            per(j, i - 1, 0) {
    			if (x[j] == -1 || x[j] > x[j + 1]) break;
    			above = x[j];
    			sum += (ll) (below) * above * 4;
    		}
    	}
    	rep(i, 0, n - 1) {
    		if (y[i] == -1) continue;
    		int below = y[i], above = m - 1 - y[i];
    		sum += (ll) (below) * above * 4;
    		rep(j, i + 1, n - 1) {
    			if (y[j] == -1 || y[j] < y[j - 1]) break;
    			above = m - 1 - y[j];
    			sum += (ll) (below) * above * 4;
    		}
            above = m - 1 - y[i];
            per(j, i - 1, 0) {
    			if (y[j] == -1 || y[j] < y[j + 1]) break;
    			above = m - 1 - y[j];
    			sum += (ll) (below) * above * 4;
            }
    	}
    	double ans = 0;
    	rep(i, 0, n - 1) ans += m - (y[i] >= 0);
    	ans = ans * ans;
    	ans = sum / ans;
    	printf("%.4f
    ", ans);
    	return 0;
    }
    

    T3 舞蹈课(dancinglessons)

    也是个小傻逼题

    用链表维护相邻关系

    把相邻的BG扔进小根堆,每次查出最小的相邻把他们拎出来

    然后剩旁边两边合并,如果也是BG那个也加入

    结果a,b有一个地方打错GG了./气死

    #include <bits/stdc++.h>
    using namespace std;
    
    #define rep(i, a, b) for (int i = a; i <= b; i++)
    #define per(i, a, b) for (int i = a; i >= b; i--)
    #define siz(a) (int)a.size()
    #define pb push_back
    #define mp make_pair
    #define ll long long
    #define fi first
    #define se second
    
    const int iinf = 0x3f3f3f3f ;
    const int N = 200010 ;
    
    int n, cnt ;
    string s ;
    int a[N], b[N], suf[N], pre[N] ;
    
    struct group {
    	int x, y, del ;
    } ;
    
    bool operator < (group a, group b) {
    	if (a.del != b.del) return a.del > b.del ;
    	else return a.x > b.x ;
    }
    
    priority_queue <group> q ;
    vector <pair<int, int> > ans ;
    
    signed main() {
    //	freopen("dancinglessons.in", "r", stdin) ;
    //	freopen("dancinglessons.out", "w", stdout) ;
    	scanf("%d", &n) ;
    	cin >> s ;
    	rep(i, 1, n) a[i] = (s[i - 1] == 'B') ? 1 : 0 ;
    	rep(i, 1, n) cnt += a[i] ;
    	cnt = min(cnt, n - cnt) ;
    	rep(i, 1, n) scanf("%d", &b[i]) ;
    	rep(i, 1, n - 1) suf[i] = i + 1 ;
    	rep(i, 2, n) pre[i] = i - 1 ;
    	suf[n] = pre[1] = 0 ; b[0] = iinf ;
    	rep(i, 1, n - 1) if (a[i] != a[i + 1]) q.push((group) {i, i + 1, abs(b[i] - b[i + 1])}) ;
    	rep(i, 1, cnt) {
    		while (!q.empty()) {
    			group c = q.top() ; q.pop() ;
    			if (b[c.x] == iinf || b[c.y] == iinf) continue ;
    			ans.pb(mp(c.x, c.y)) ;
    			suf[pre[c.x]] = suf[c.y] ; 
    			pre[suf[c.y]] = pre[c.x] ;
    			int u = pre[c.x], v = suf[c.y] ;
    			if (a[u] != a[v]) q.push((group) {u, v, abs(b[u] - b[v])}) ;
    			pre[c.x] = suf[c.x] = -1 ;
    			pre[c.y] = suf[c.y] = -1 ;
    			b[c.x] = b[c.y] = iinf ;
    		}
    	}
    	printf("%d
    ", siz(ans)) ;
    	rep(i, 0, siz(ans) - 1) printf("%d %d
    ", ans[i].fi, ans[i].se) ;
    	return 0 ;
    }
    
    
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  • 原文地址:https://www.cnblogs.com/harryhqg/p/13296615.html
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