Elementary Math
题意:给n组数, 可以加三种(加减乘)运算, 使得所有的结果都不相同. 如果不存在则输出impossible.
二分图匹配, 每一组数像不同的结果连边, 求最大匹配,如果最大匹配等于n则有解.
其实还是比较裸的,场上只想到暴力=_=
1 #include2 using namespace std; 3 #define ll long long 4 const int maxe = 8000; 5 const int maxn = 2510; 6 7 map mp; 8 ll A[maxe]; 9 ll p1[maxn], p2[maxn]; 10 11 struct Edge{ 12 int u,v,nex; 13 Edge(int u=0,int v=0,int nex=0): u(u), v(v), nex(nex) {} 14 }e[maxe]; 15 int head[maxn]; 16 int cnt; 17 void init(){ 18 memset(head, -1, sizeof(head)); 19 cnt = 0; 20 } 21 void add(int u,int v) { 22 e[cnt] = Edge(u,v,head[u]); 23 head[u] = cnt++; 24 } 25 26 int vg[maxn], vb[maxe], mcg[maxn], mcb[maxe]; 27 28 int Hungary(int u){ 29 vg[u] = 1; 30 for(int i = head[u]; ~i; i = e[i].nex) { 31 int v = e[i].v; 32 if(!vb[v]) { 33 vb[v] = 1; 34 if(mcb[v] == -1 || Hungary(mcb[v])){ 35 mcb[v] = u; 36 mcg[u] = v; 37 return 1; 38 } 39 } 40 } 41 return 0; 42 } 43 44 int main() { 45 int n; 46 while(scanf("%d", &n)!=EOF) { 47 init(); 48 mp.clear(); 49 ll a, b; 50 int id = 0; 51 for(int i = 0; i < n; i++) { 52 scanf("%lld %lld", &a, &b); 53 p1[i] = a; 54 p2[i] = b; 55 ll u = a+b; 56 if(!mp.count(u)) { 57 A[id] = u; 58 mp[u] = id++; 59 } 60 add(i, mp[u]); 61 u = a-b; 62 if(!mp.count(u)) { 63 A[id] = u; 64 mp[u] = id++; 65 } 66 add(i, mp[u]); 67 u = a*b; 68 if(!mp.count(u)) { 69 A[id] = u; 70 mp[u] = id++; 71 } 72 add(i, mp[u]); 73 } 74 int ans = 0; 75 memset(mcb, -1, sizeof(mcb)); 76 memset(mcg, -1, sizeof(mcg)); 77 for(int i = 0; i < n; i++) { 78 memset(vb, 0, sizeof(vb)); 79 memset(vg, 0, sizeof(vg)); 80 if(Hungary(i)) ans++; 81 } 82 // cout< <
Debugging
题意:n行代码,有一个bug,可以输出中间结果debug, 每加一行printf语句耗时b, 编译一次耗时a,问最短多长时间找到bug.
dp[n]表示n行需要的时间, 暴力把n行分成2到n段,取最小的时间就是结果.
刚看到这道题的时候以为和高楼抛水球那个题一样......没绕出来......
1 #include2 using namespace std; 3 #define ll long long 4 const int maxn = 1e6+10; 5 const ll inf = 1e16; 6 ll d[maxn]; 7 ll n, a, b; 8 9 ll solve(ll n) {10 if(n <= 1) return 0;11 if(d[n]) return d[n];12 ll res = inf;13 for(ll i = 2; i <= n; i++) {14 res = min(res, solve(ceil((double)n/i))+b*(i-1)+a);15 }16 return d[n]=res;17 }18 19 int main() {20 while(scanf("%lld %lld %lld", &n, &a, &b)!=EOF) {21 printf("%lld\n", solve(n));22 }23 }