#include <cstdio> #include <algorithm> #include <cmath> using namespace std; typedef long long ll; #define left(x) ((x)<<1) #define right(x) (left(x)+1) #define parent(x) ((x)>>1) #define inf 1000000000 inline ll min(ll a, ll b, ll c, ll d){ return min(a, min(b, min(c, d))); } inline ll min(ll a, ll b, ll c){ return min(a, min(b, c)); } int c[2001][4100]; int b[2001][2001]; int pos[2001]; int H[2001]; bool o[2002]; ll q[2001]; inline void Heapify(int x, int s){ int l=x, h=parent(s), y; while(x<=h){ if(q[H[y=left(x)]]<q[H[l]]) l=y; if((++y)<=s && q[H[y]]<q[H[l]]) l=y; if(l==x) break; swap(H[x], H[l]); pos[H[x]]=x; x=l; } pos[H[x]]=x; } inline void UpHeapify(int x){ int p; while((p=parent(x)) && q[H[x]]<q[H[p]]){ swap(H[x], H[p]); pos[H[x]]=x; x=p; } pos[H[x]]=x; } inline void BuildHeap(int s){ int h=parent(s); for(int i=h;i;--i) Heapify(i, s); } inline int ExtractMin(int& s){ int res=H[1]; swap(H[1], H[s--]); pos[H[1]]=1; Heapify(1, s); return res; } inline int InitTreeSize(int n){ if(n&(n-1)){ frexp(n, &n); n=1<<n; } return n; } inline void InitTree(int j, int s){ for(int i=s, x=(s<<1);i<x;++i) if(!c[j][i]) c[j][i]=inf; for(int i=s-1;i;--i) c[j][i]=min(c[j][left(i)], c[j][right(i)]); } inline int Query(int j, int a, int b){ int res=inf; while(a<b){ if(a&1) res=min(res, c[j][a++]); if(!(b&1)) res=min(res, c[j][b--]); a>>=1; b>>=1; } if(a==b) res=min(res, c[j][a]); return res; } int main() { ll res=0; int n, s, m; scanf("%d", &n); m=n; s=InitTreeSize(n); for(int i=1;i<=n;++i){ scanf("%d", &c[i+s][i+s]); q[i]=c[i+s][i+s]; pos[i]=i; H[i]=i; for(int j=i+1;j<=n;++j) scanf("%d", &c[i+s][j+s]); } for(int i=1;i<=n;++i) InitTree(i, s); BuildHeap(n); for(int i=2;i<=n;++i){ b[i-1][i]=c[i+s-1][i+s]; for(int j=i-2;j;--j) b[j][i]=min(c[j+s][i+s], b[j+1][i]); } while(m){ int k=ExtractMin(m); res+=q[k]; o[k]=1; int r=k, l=k; ll tmp; while(o[r]) ++r; while(o[l]) --l; if(l){ tmp=min(q[l], (ll)Query(l, l, r-1)); if(l>1 && o[l-1]){ int l2=l-1; while(o[l2]) --l2; for(++l2;l2<l;++l2) tmp=min(tmp, (ll)Query(l2, l+1, r-1)); } if(tmp<q[l]){ q[l]=tmp; UpHeapify(pos[l]); } } if(r<=n){ tmp=min(q[r], (ll)b[l+1][r]); if(r<n && o[r+1]){ int r2=r+1; while(o[r2]) ++r2; --r2; for(int i=l+1;i<r;++i) tmp=min(tmp, (ll)Query(i, r+1, r2)); } if(tmp<q[r]){ q[r]=tmp; UpHeapify(pos[r]); } } } printf("%lld", res); }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 | #include <cstdio> #include <algorithm> #include <cmath> using namespace std; typedef long long ll; #define left(x) ((x)<<1) #define right(x) (left(x)+1) #define parent(x) ((x)>>1) #define inf 1000000000 inline ll min(ll a, ll b, ll c, ll d){ return min(a, min(b, min(c, d))); } inline ll min(ll a, ll b, ll c){ return min(a, min(b, c)); } int c[2001][4100]; int b[2001][2001]; int pos[2001]; int H[2001]; bool o[2002]; ll q[2001]; inline void Heapify(int x, int s){ int l=x, h=parent(s), y; while(x<=h){ if(q[H[y=left(x)]]<q[H[l]]) l=y; if((++y)<=s && q[H[y]]<q[H[l]]) l=y; if(l==x) break; swap(H[x], H[l]); pos[H[x]]=x; x=l; } pos[H[x]]=x; } inline void UpHeapify(int x){ int p; while((p=parent(x)) && q[H[x]]<q[H[p]]){ swap(H[x], H[p]); pos[H[x]]=x; x=p; } pos[H[x]]=x; } inline void BuildHeap(int s){ int h=parent(s); for(int i=h;i;--i) Heapify(i, s); } inline int ExtractMin(int& s){ int res=H[1]; swap(H[1], H[s--]); pos[H[1]]=1; Heapify(1, s); return res; } inline int InitTreeSize(int n){ if(n&(n-1)){ frexp(n, &n); n=1<<n; } return n; } inline void InitTree(int j, int s){ for(int i=s, x=(s<<1);i<x;++i) if(!c[j][i]) c[j][i]=inf; for(int i=s-1;i;--i) c[j][i]=min(c[j][left(i)], c[j][right(i)]); } inline int Query(int j, int a, int b){ int res=inf; while(a<b){ if(a&1) res=min(res, c[j][a++]); if(!(b&1)) res=min(res, c[j][b--]); a>>=1; b>>=1; } if(a==b) res=min(res, c[j][a]); return res; } int main() { ll res=0; int n, s, m; scanf("%d", &n); m=n; s=InitTreeSize(n); for(int i=1;i<=n;++i){ scanf("%d", &c[i+s][i+s]); q[i]=c[i+s][i+s]; pos[i]=i; H[i]=i; for(int j=i+1;j<=n;++j) scanf("%d", &c[i+s][j+s]); } for(int i=1;i<=n;++i) InitTree(i, s); BuildHeap(n); for(int i=2;i<=n;++i){ b[i-1][i]=c[i+s-1][i+s]; for(int j=i-2;j;--j) b[j][i]=min(c[j+s][i+s], b[j+1][i]); } while(m){ int k=ExtractMin(m); res+=q[k]; o[k]=1; int r=k, l=k; ll tmp; while(o[r]) ++r; while(o[l]) --l; if(l){ tmp=min(q[l], (ll)Query(l, l, r-1)); if(l>1 && o[l-1]){ int l2=l-1; while(o[l2]) --l2; for(++l2;l2<l;++l2) tmp=min(tmp, (ll)Query(l2, l+1, r-1)); } if(tmp<q[l]){ q[l]=tmp; UpHeapify(pos[l]); } } if(r<=n){ tmp=min(q[r], (ll)b[l+1][r]); if(r<n && o[r+1]){ int r2=r+1; while(o[r2]) ++r2; --r2; for(int i=l+1;i<r;++i) tmp=min(tmp, (ll)Query(i, r+1, r2)); } if(tmp<q[r]){ q[r]=tmp; UpHeapify(pos[r]); } } } printf("%lld", res); } |