#include<iostream> #include<cstdio> #include<string> #include<cmath> #include<vector> #include<map> #include<set> #include<algorithm> #include<utility> using namespace std; #define FOR(I,A,B) for(int I=(A);I<=(B);I++) #define REP(I,N) for(int I=0;I<(N);I++) #define ALL(X) (X).begin(),(X).end() #define PB push_back #define MP make_pair #define f first #define s second typedef vector<int> VI; typedef pair<int,int> PII; typedef long long ll; typedef vector<string> VS; const int MAX = 500005; long long prefix_sums[MAX]; vector<int> growth_rate; vector< tuple<int, long long, long long> > levels; long long find_height(int idx, long long d) { auto b = lower_bound(levels.begin(), levels.end(), make_tuple(idx, -1, -1)); if(b == levels.end() || get<0>(*b) > idx) --b; //cout << get<0>(*b) << " " << get<1>(*b) << " " << get<2>(*b) << endl; //cout << growth_rate[get<0>(*b)] << endl; int _d = get<1>(*b); int _b = get<2>(*b); return _b + (d - _d) * growth_rate[idx]; } long long get_interval_sum(int a, int b) { return prefix_sums[b] - (a == 0 ? 0 : prefix_sums[a - 1]); } int find_bound(int d, int b) { int l,r; l = 0; r = growth_rate.size(); while(l < r) { int s = (l + r - 1) / 2; if(find_height(s, d) >= b) { r = s; } else { l = s + 1; } } if(find_height(l, d) < b) { return -1; } else { return l; } } int main(){ ios_base::sync_with_stdio(0); int n,m; cin >> n >> m; REP(i,n) { int r; cin >> r; growth_rate.PB(r); } sort(ALL(growth_rate)); prefix_sums[0] = growth_rate[0]; FOR(i,1,n-1) { prefix_sums[i] = prefix_sums[i - 1] + growth_rate[i]; } levels.PB(make_tuple(0,0,0)); REP(j,m) { long long d, b; cin >> d >> b; long long result = 0; int idx = find_bound(d, b); int prev_idx = n; // cout << "idx: " << idx << endl; while(!levels.empty() && idx <= get<0>(levels.back())) { auto a = levels.back(); result += (d - get<1>(a))*get_interval_sum(get<0>(a), prev_idx - 1); // cout << get<0>(a) << " " << prev_idx - 1 << " " << get_interval_sum(get<0>(a), prev_idx-1) << endl; // cout << result << endl; result += (get<2>(a) - b) * (prev_idx - get<0>(a)); //cout << "result: " << result << endl; levels.pop_back(); prev_idx = get<0>(a); } if(!levels.empty()) { auto a = levels.back(); result += (d - get<1>(a))*get_interval_sum(idx, prev_idx - 1); // cout << "r1: " << result << endl; // cout << get<2>(a) - b << endl; result += (get<2>(a) - b) * (prev_idx - idx); } levels.push_back(make_tuple(idx, d, b)); /* cout << "levels\n"; REP(j,levels.size()) { cout << get<0>(levels[j]) << " " << get<1>(levels[j]) << " " << get<2>(levels[j]) << endl; } */ /* cout << "debug\n"; cout << "a" << find_height(0,2) << endl; cout << "b"<<find_height(1,2) << endl; cout << "c"<<find_height(2,2) << endl; cout << "d"<<find_height(3,2) << endl; */ //long long sum = get_interval_sum(idx); //long long diff_d = d - prev_d; /*cout << idx << endl; cout << sum << endl; cout << diff_d*sum - (n - idx)*b << '\n';*/ cout << result << '\n'; } return 0; }
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 | #include<iostream> #include<cstdio> #include<string> #include<cmath> #include<vector> #include<map> #include<set> #include<algorithm> #include<utility> using namespace std; #define FOR(I,A,B) for(int I=(A);I<=(B);I++) #define REP(I,N) for(int I=0;I<(N);I++) #define ALL(X) (X).begin(),(X).end() #define PB push_back #define MP make_pair #define f first #define s second typedef vector<int> VI; typedef pair<int,int> PII; typedef long long ll; typedef vector<string> VS; const int MAX = 500005; long long prefix_sums[MAX]; vector<int> growth_rate; vector< tuple<int, long long, long long> > levels; long long find_height(int idx, long long d) { auto b = lower_bound(levels.begin(), levels.end(), make_tuple(idx, -1, -1)); if(b == levels.end() || get<0>(*b) > idx) --b; //cout << get<0>(*b) << " " << get<1>(*b) << " " << get<2>(*b) << endl; //cout << growth_rate[get<0>(*b)] << endl; int _d = get<1>(*b); int _b = get<2>(*b); return _b + (d - _d) * growth_rate[idx]; } long long get_interval_sum(int a, int b) { return prefix_sums[b] - (a == 0 ? 0 : prefix_sums[a - 1]); } int find_bound(int d, int b) { int l,r; l = 0; r = growth_rate.size(); while(l < r) { int s = (l + r - 1) / 2; if(find_height(s, d) >= b) { r = s; } else { l = s + 1; } } if(find_height(l, d) < b) { return -1; } else { return l; } } int main(){ ios_base::sync_with_stdio(0); int n,m; cin >> n >> m; REP(i,n) { int r; cin >> r; growth_rate.PB(r); } sort(ALL(growth_rate)); prefix_sums[0] = growth_rate[0]; FOR(i,1,n-1) { prefix_sums[i] = prefix_sums[i - 1] + growth_rate[i]; } levels.PB(make_tuple(0,0,0)); REP(j,m) { long long d, b; cin >> d >> b; long long result = 0; int idx = find_bound(d, b); int prev_idx = n; // cout << "idx: " << idx << endl; while(!levels.empty() && idx <= get<0>(levels.back())) { auto a = levels.back(); result += (d - get<1>(a))*get_interval_sum(get<0>(a), prev_idx - 1); // cout << get<0>(a) << " " << prev_idx - 1 << " " << get_interval_sum(get<0>(a), prev_idx-1) << endl; // cout << result << endl; result += (get<2>(a) - b) * (prev_idx - get<0>(a)); //cout << "result: " << result << endl; levels.pop_back(); prev_idx = get<0>(a); } if(!levels.empty()) { auto a = levels.back(); result += (d - get<1>(a))*get_interval_sum(idx, prev_idx - 1); // cout << "r1: " << result << endl; // cout << get<2>(a) - b << endl; result += (get<2>(a) - b) * (prev_idx - idx); } levels.push_back(make_tuple(idx, d, b)); /* cout << "levels\n"; REP(j,levels.size()) { cout << get<0>(levels[j]) << " " << get<1>(levels[j]) << " " << get<2>(levels[j]) << endl; } */ /* cout << "debug\n"; cout << "a" << find_height(0,2) << endl; cout << "b"<<find_height(1,2) << endl; cout << "c"<<find_height(2,2) << endl; cout << "d"<<find_height(3,2) << endl; */ //long long sum = get_interval_sum(idx); //long long diff_d = d - prev_d; /*cout << idx << endl; cout << sum << endl; cout << diff_d*sum - (n - idx)*b << '\n';*/ cout << result << '\n'; } return 0; } |