import java.util.*; import static java.util.Arrays.*; import java.io.BufferedInputStream; import java.io.BufferedOutputStream; import java.io.BufferedReader; import java.io.BufferedWriter; import java.io.InputStreamReader; import static java.lang.Math.*; public class sia { long pd =0;long pb=0; long bCut = -1; long[]A; long[]SA; int rows = 0; long[]rowB; int[]rowL; long[]rowD; static long iter =0; long getLen(int id, long d) { int a = 0; int b =rows; while(b!=a){ iter++; int c = a+(b-a)/2; if(rowL[c]<id){ b=c; }else a=c+1; } int ri = a-1; if(ri>=0) { long res = rowB[ri]; long dd = d - rowD[ri]; res += dd * A[id]; return res; } else return A[id]*d; } //incl long sum(int a, int b){ long ret = SA[b]; if(a>0)ret-=SA[a-1]; return ret; } void init(long[]A, long[]d, long[]b){ this.A = A; SA = new long[A.length]; SA[0]=A[0]; for(int i=1;i<A.length;i++)SA[i]=SA[i-1]+A[i]; rowD = new long[d.length]; rowB = new long[d.length]; rowL = new int[d.length]; rows = 1; rowL[0]=A.length-1; rowB[0]=0; rowD[0]=0; } long[] doit(long[]A, long[]d, long[]bSizes){ init(A,d,bSizes); long[] res = new long[bSizes.length]; for(int t =0;t<d.length;t++) { int last =-1; long cut =0; int a = 0; int b = A.length; while(b!=a){ int c = a+(b-a)/2; long len = getLen(c, d[t]); if(len<bSizes[t]){ b=c; }else a=c+1; } last = a -1; int prevEnd = -1; while(rows > 0 && last >-1) { int st = prevEnd+1; int en; if(last >= rowL[rows-1]) { en = rowL[rows-1]; } else { en = last; } long rb = rowB[rows-1]; long dd = d[t]-rowD[rows-1]; long totVol = sum(st, en)*dd + (en-st+1)*rb; long newVol = (en-st+1)*bSizes[t]; cut+= totVol -newVol; if(last>=rowL[rows-1]){ prevEnd = rowL[rows-1]; rows--; } else break; } if(last >-1){ rowL[rows]=last; rowB[rows]=bSizes[t]; rowD[rows]=d[t]; rows++; } res[t]=cut; } return res; } static long[] doitBrut(long[]A, long[]d, long[]b) { long[] L = new long[A.length]; long[]res = new long[d.length]; long pd = 0; for(int t=0;t<d.length;t++) { long cut =0; for(int i=0;i<L.length;i++){ L[i]+= (d[t]-pd)*A[i]; if(L[i]>b[t]){ cut += L[i]-b[t]; L[i]=b[t]; } } pd = d[t]; res[t]=cut; } return res; } static long[] randLong(int n, int max) { long[]res = new long[n]; Random rand = new Random(0); for(int i=0;i<n;i++){ res[i]=1+rand.nextInt(max); } return res; } static long[]reverse(long[] A){ int a =0;int b = A.length -1; while(a<b){ long t = A[a];A[a]=A[b];A[b]=t; a++;b--; } return A; } public static void main(String[] args) throws Exception{ long start = System.currentTimeMillis(); BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); String fl = br.readLine(); int n = Integer.parseInt(fl.split(" ")[0]); int m = Integer.parseInt(fl.split(" ")[1]); fl = br.readLine(); String[]ss = fl.split(" "); long[] A = new long[n]; for(int i=0;i<n;i++)A[i]=Integer.parseInt(ss[i]); sort(A); reverse(A); long[]b = new long[m]; long[]d = new long[m]; for(int i=0;i<m;i++){ fl = br.readLine(); ss = fl.split(" "); d[i]=Long.parseLong(ss[0]); b[i]=Long.parseLong(ss[1]); } System.err.println("read data: "+(System.currentTimeMillis()-start)); // A = randLong(100000, 1000000); // sort(A); // reverse(A); // b = randLong(20000, 1000000000); // d = randLong(20000, 1000000); // sort(d); // long[] res = new sia().doit(A, d, b); // long[] rb = doitBrut(A, d, b); // for(int i=0;i<res.length;i++){ // if(res[i]!=rb[i]) System.out.println("ERROR"); // } long[] res = new sia().doit(A, d, b); System.err.println("solved: "+(System.currentTimeMillis()-start)); StringBuffer rr = new StringBuffer(); for(int i=0;i<res.length;i++){rr.append(res[i]);rr.append("\n");} System.out.print(rr); System.err.println(System.currentTimeMillis()-start); System.err.println(iter + " iterations"); } }
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 | import java.util.*; import static java.util.Arrays.*; import java.io.BufferedInputStream; import java.io.BufferedOutputStream; import java.io.BufferedReader; import java.io.BufferedWriter; import java.io.InputStreamReader; import static java.lang.Math.*; public class sia { long pd =0;long pb=0; long bCut = -1; long[]A; long[]SA; int rows = 0; long[]rowB; int[]rowL; long[]rowD; static long iter =0; long getLen(int id, long d) { int a = 0; int b =rows; while(b!=a){ iter++; int c = a+(b-a)/2; if(rowL[c]<id){ b=c; }else a=c+1; } int ri = a-1; if(ri>=0) { long res = rowB[ri]; long dd = d - rowD[ri]; res += dd * A[id]; return res; } else return A[id]*d; } //incl long sum(int a, int b){ long ret = SA[b]; if(a>0)ret-=SA[a-1]; return ret; } void init(long[]A, long[]d, long[]b){ this.A = A; SA = new long[A.length]; SA[0]=A[0]; for(int i=1;i<A.length;i++)SA[i]=SA[i-1]+A[i]; rowD = new long[d.length]; rowB = new long[d.length]; rowL = new int[d.length]; rows = 1; rowL[0]=A.length-1; rowB[0]=0; rowD[0]=0; } long[] doit(long[]A, long[]d, long[]bSizes){ init(A,d,bSizes); long[] res = new long[bSizes.length]; for(int t =0;t<d.length;t++) { int last =-1; long cut =0; int a = 0; int b = A.length; while(b!=a){ int c = a+(b-a)/2; long len = getLen(c, d[t]); if(len<bSizes[t]){ b=c; }else a=c+1; } last = a -1; int prevEnd = -1; while(rows > 0 && last >-1) { int st = prevEnd+1; int en; if(last >= rowL[rows-1]) { en = rowL[rows-1]; } else { en = last; } long rb = rowB[rows-1]; long dd = d[t]-rowD[rows-1]; long totVol = sum(st, en)*dd + (en-st+1)*rb; long newVol = (en-st+1)*bSizes[t]; cut+= totVol -newVol; if(last>=rowL[rows-1]){ prevEnd = rowL[rows-1]; rows--; } else break; } if(last >-1){ rowL[rows]=last; rowB[rows]=bSizes[t]; rowD[rows]=d[t]; rows++; } res[t]=cut; } return res; } static long[] doitBrut(long[]A, long[]d, long[]b) { long[] L = new long[A.length]; long[]res = new long[d.length]; long pd = 0; for(int t=0;t<d.length;t++) { long cut =0; for(int i=0;i<L.length;i++){ L[i]+= (d[t]-pd)*A[i]; if(L[i]>b[t]){ cut += L[i]-b[t]; L[i]=b[t]; } } pd = d[t]; res[t]=cut; } return res; } static long[] randLong(int n, int max) { long[]res = new long[n]; Random rand = new Random(0); for(int i=0;i<n;i++){ res[i]=1+rand.nextInt(max); } return res; } static long[]reverse(long[] A){ int a =0;int b = A.length -1; while(a<b){ long t = A[a];A[a]=A[b];A[b]=t; a++;b--; } return A; } public static void main(String[] args) throws Exception{ long start = System.currentTimeMillis(); BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); String fl = br.readLine(); int n = Integer.parseInt(fl.split(" ")[0]); int m = Integer.parseInt(fl.split(" ")[1]); fl = br.readLine(); String[]ss = fl.split(" "); long[] A = new long[n]; for(int i=0;i<n;i++)A[i]=Integer.parseInt(ss[i]); sort(A); reverse(A); long[]b = new long[m]; long[]d = new long[m]; for(int i=0;i<m;i++){ fl = br.readLine(); ss = fl.split(" "); d[i]=Long.parseLong(ss[0]); b[i]=Long.parseLong(ss[1]); } System.err.println("read data: "+(System.currentTimeMillis()-start)); // A = randLong(100000, 1000000); // sort(A); // reverse(A); // b = randLong(20000, 1000000000); // d = randLong(20000, 1000000); // sort(d); // long[] res = new sia().doit(A, d, b); // long[] rb = doitBrut(A, d, b); // for(int i=0;i<res.length;i++){ // if(res[i]!=rb[i]) System.out.println("ERROR"); // } long[] res = new sia().doit(A, d, b); System.err.println("solved: "+(System.currentTimeMillis()-start)); StringBuffer rr = new StringBuffer(); for(int i=0;i<res.length;i++){rr.append(res[i]);rr.append("\n");} System.out.print(rr); System.err.println(System.currentTimeMillis()-start); System.err.println(iter + " iterations"); } } |