POJ 2796 Feel Good 【单调栈】
【题意】
给出n和a[1...n]，求出一对l，r使得sum[l, r] * min[l, r]最大。
【题解】
往两边单调栈求出第一个比当前小的数的位置。
然后随便做啦,O(n)
# include <stdio.h>
# include <iostream>
# include <string.h>
using namespace std;
int n, a[100100], last[100100], next[100100];
int st[100100], stn=0;
int stw[100100], l, r;
long long s[100100], maxx=-99999999;
int main() {
scanf("%d", &n);
for (int i=1; i<=n; ++i) {
scanf("%d", &a[i]);
s[i] = s[i-1] + a[i];
}
for (int i=1; i<=n; ++i) {
if(a[i] > st[stn]) {
st[++stn] = a[i];
last[i] = stw[stn-1];
stw[stn] = i;
} else {
while(a[i] <= st[stn] && stn != 0) --stn;
if(stn == 0) last[i] = 0;
else last[i] = stw[stn];
st[++stn] = a[i];
stw[stn] = i;
}
}
stn = 0;
memset(st, 0, sizeof(st));
memset(stw, 0, sizeof(stw));
for (int i=n; i>=1; --i) {
if(a[i] > st[stn]) {
st[++stn] = a[i];
next[i] = stw[stn-1];
stw[stn] = i;
} else {
while(a[i] <= st[stn] && stn != 0) --stn;
if(stn == 0) next[i] = n+1;
else next[i] = stw[stn];
st[++stn] = a[i];
stw[stn] = i;
}
}
for (int i=1; i<=n; ++i) {
//printf("%d %d\n", last[i], next[i]);
long long t = (long long)a[i] * (s[next[i]-1] - s[last[i]]);
if(t>maxx) {
maxx=t;
l=last[i]+1;
r=next[i]-1;
}
}
cout << maxx << endl;
cout << l << ' ' << r << endl;
return 0;
}
2022年9月20日 22:40
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